Tematiche - Dimensionamento di sistemi di condutture

299.1.069 / V4

4 Dimensionamento di sistemi di condutture per impianti di riscaldamento

4.1 Principi e requisiti

4.1.1 Termini, definizioni, unità

Termine	Simbolo	Definizione	Unità
Portata di massa	ṁ	Massa del medio trasportato nell’arco dellʼunità temporale attraverso una sezione prestabilita.	kg/h
Potenza calorifica netta	Q_netto	Potenza calorifica dei radiatori	[kJ/s = kW]
Potenza calorifica lorda	Q_lordo	Somma della potenza calorifica netta e della maggiorazione per perdite di calore	[kJ/s = kW]
Capacità termica specifica	c	L’energia termica che deve essere assorbita da 1 kg di un determinato medio affinché la sua temperatura aumenti di 1 K.	[J/(kg·K)]
Portata volumetrica pompa	V̇_p	Somma delle portate di massa / portate volumetriche di tutti i segmenti	l/s m³/h
Prevalenza della pompa	Δp_ges	Pressione di convogliamento necessaria per superare tutte le resistenze nell’impianto di riscaldamento e alimentare i radiatori con acqua calda.	[Pa]

4.1.2 Parametri per il calcolo delle reti di tubazioni in impianti di riscaldamento

L’energia di spinta che produce il convogliamento dell’acqua negli impianti di riscaldamento è la pressione di pompaggio. Quest’ultima dipende dalla perdita di pressione nella rete di tubazioni che comprende anche tutte le singole resistenze di fitting, rubinetteria ecc. Il diametro dei tubi influisce sull’impianto nel modo seguente:

Diametro minore dei tubi
- Rete di tubazioni economicamente conveniente
- Costi d’esercizio più elevati a causa di velocità di flusso e perdite di pressione maggiori
Diametro maggiore dei tubi
- Costi d’impianto più elevati
- Costi d’esercizio inferiori

4.1.3 Velocità di flusso raccomandate

Conduttura	Velocità di flusso
Distribuzione in cantina	max. 0.8 [m/s]
Condutture montanti	max. 0.8 [m/s]
Collegamento radiatore	max. 0.3 [m/s]

Velocità di flusso raccomandate

4.2 Determinazione del diametro dei tubi

La determinazione del diametro dei tubi prevede i seguenti passaggi:

Determinazione della potenza calorifica netta Q_netto dei radiatori.
Calcolo della maggiorazione per perdite di calore. 5-15 % a seconda delle dimensioni della rete di tubazioni e della quantità di condutture non isolate.
Aggiunta di questa maggiorazione alla potenza calorifica netta Q_netto. Come risultato si ottiene la potenza calorifica lorda Q_lordo.
Conversione della potenza calorifica lorda Q_lordo in portate di massa ṁ applicando la formula, 👉 Conversione della potenza calorifica lorda in portata di massa.
Denominazione di tutti i segmenti e aggiunta delle portate di massa ṁ.
Selezione della resistenza di attrito nei tubi R [Pa/m]. Raccomandazione per il predimensionamento: 50-80 Pa/m Tanto maggiore è la resistenza R selezionata quanto più elevati sono la pressione di pompaggio e, di conseguenza, il consumo di corrente (costi d’esercizio).
Selezione del diametro dei tubi in base alle tabelle di perdita di pressione tenendo conto della portata di massa ṁ e della resistenza di attrito nei tubi R. Infine inserimento dei valori nella tabella corrispondente.
Verifica delle velocità di flusso, 👉 Velocità di flusso raccomandate.

4.2.1 Conversione della potenza calorifica lorda in portata di massa

ṁ	=	portata di massa [kg/h]
Q_lordo	=	potenza calorifica [kJ/s = kW]
c	=	capacità termica specifica [kJ/(kg·K)]
∆T	=	differenza di temperatura [K]

4.3 Determinazione della pompa di circolazione

Per determinare la pompa di circolazione sono necessari i seguenti parametri:

Portata volumetrica della pompa V̇_p
Prevalenza della pompa ∆p_ges

4.3.1 Calcolo della portata volumetrica della pompa

Per calcolare la portata volumetrica della pompa V̇_p è necessario sommare le portate di massa ṁ di tutti i segmenti. Durante il predimensionamento è possibile bypassare il passaggio della conversione della densità nella portata volumetrica corrispondente:

ṁ [kg/h] = V̇_p [m³/h]

4.3.2 Determinazione della prevalenza della pompa

Per determinare la prevalenza della pompa ∆p_ges è determinante soltanto la perdita di pressione del tratto più sfavorevole (solitamente il tratto più lungo dalla caldaia al radiatore più lontano). La perdita di pressione si suddivide in resistenze di attrito nei tubi e in resistenze singole. Per determinare la perdita di pressione delle resistenze di attrito nei tubi è necessario conoscere le lunghezze delle condutture dei segmenti. Una volta calcolate le perdite di pressione si possono determinare le singole resistenze Z.

La perdita di pressione ∆p di un segmento può essere calcolata con la formula seguente:

∆p_segmento = R · l

∆p_segmento	=	perdita di pressione segmento [Pa]
R	=	resistenza di attrito nei tubi [Pa/m]
l	=	lunghezza delle condutture [m]

In fase di progetto, le singole resistenze non vengono, in genere, calcolate separatamente. Il calcolo viene eseguito con i seguenti valori di riferimento:

Z = ∆p_segmento · 1.0 … 2.0

Z	=	resistenza singola [Pa]
∆p_segmento	=	perdita di pressione segmento [Pa]

Nel calcolo devono essere inoltre considerate singole resistenze speciali Z quali caldaia, scambiatore di calore a piastre, valvole di regolazione ecc.

Per determinare la prevalenza della pompa ∆p_ges vengono sommate le perdite di pressione dei segmenti incluse le singole resistenze. La prevalenza della pompa ∆p_ges viene viene determinata nel calcolo generale attraverso la seguente formula:

∆p_ges = ∑∆p_segmento + ∑Z

∆p_ges	=	prevalenza della pompa [Pa]
∆p_segmento	=	perdita di pressione segmento [Pa]
Z	=	resistenza singola [Pa]

4.4 Tabelle di perdita di pressione per tubi Optipress-Therm in acciaio zincato

Esempio di lettura: Per acqua a +40 °C con dimensione dei tubi di 22 mm e perdita di pressione R = 50 Pa/m, dalla tabella si ricavano:

Portata di massa dell’acqua ṁ: 238 kg/h
Velocità di flusso dell’acqua v: 0.23 m/s
Pressione dinamica P_din: 26.9 Pa

4.4.1 Medio: acqua a 40 °C

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	15			18			22			28
DN	12			15			20			25
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	52	0.12	6.7	93	0.14	9.1	160	0.16	12.2	340	0.19	18.1
30	58	0.13	8.3	103	0.15	11.2	178	0.17	15.0	377	0.21	22.3
35	63	0.14	9.9	112	0.16	13.4	194	0.19	17.9	412	0.23	26.6
40	68	0.15	11.5	121	0.18	15.6	210	0.20	20.8	445	0.25	31.0
45	72	0.16	13.2	129	0.19	17.9	224	0.22	23.8	476	0.27	35.4
50	77	0.17	14.8	137	0.20	20.1	238	0.23	26.9	505	0.28	40.0
55	81	0.18	16.6	145	0.21	22.5	251	0.25	30.0	534	0.30	44.6
60	85	0.19	18.3	153	0.22	24.8	264	0.26	33.1	561	0.31	49.2
65	89	0.20	20.0	160	0.23	27.2	277	0.27	36.3	587	0.33	53.9
70	93	0.21	21.8	167	0.24	29.6	289	0.28	39.5	612	0.34	58.7
75	97	0.22	23.6	173	0.25	32.0	300	0.29	42.7	637	0.36	63.5
80	101	0.23	25.4	180	0.26	34.5	312	0.30	46.0	661	0.37	68.4
85	104	0.23	27.2	186	0.27	36.9	322	0.32	49.3	684	0.38	73.3
90	108	0.24	29.1	192	0.28	39.4	333	0.33	52.6	707	0.40	78.2
95	111	0.25	30.9	198	0.29	41.9	344	0.34	56.0	729	0.41	83.2
100	114	0.26	32.8	204	0.30	44.5	354	0.35	59.4	751	0.42	88.2
110	121	0.27	36.6	216	0.32	49.6	374	0.37	66.2	793	0.45	98.4
120	127	0.29	40.4	227	0.33	54.8	393	0.38	73.1	833	0.47	108.7
130	133	0.30	44.2	237	0.35	60.0	411	0.40	80.2	872	0.49	119.1
140	139	0.31	48.2	248	0.36	65.3	429	0.42	87.2	910	0.51	129.6
150	144	0.32	52.1	258	0.38	70.7	446	0.44	94.4	947	0.53	140.2
160	150	0.34	56.1	267	0.39	76.1	463	0.45	101.6	982	0.55	151.0
170	155	0.35	60.1	277	0.41	81.6	479	0.47	108.9	1017	0.57	161.8
180	160	0.36	64.2	286	0.42	87.1	495	0.48	116.3	1051	0.59	172.7
190	165	0.37	68.3	295	0.43	92.6	511	0.50	123.7	1084	0.61	183.7
200	170	0.38	72.4	304	0.44	98.2	526	0.51	131.1	1116	0.63	194.8
220	180	0.40	80.7	321	0.47	109.5	555	0.54	146.2	1178	0.66	217.3
240	189	0.42	89.1	337	0.49	121.0	584	0.57	161.5	1238	0.70	240.0
260	198	0.44	97.7	353	0.52	132.5	611	0.60	177.0	1296	0.73	263.0
280	206	0.46	106.3	368	0.54	144.3	637	0.62	192.6	1352	0.76	286.2
300	214	0.48	115.0	383	0.56	156.1	663	0.65	208.4	1407	0.79	309.7
350	234	0.53	137.2	418	0.61	186.2	724	0.71	248.6	1536	0.86	369.3
400	253	0.57	159.8	451	0.66	216.9	781	0.76	289.6	1658	0.93	430.2
450	270	0.61	182.9	483	0.71	248.1	836	0.82	331.3	1773	1.00	492.2
500	287	0.64	206.3	512	0.75	279.8	888	0.87	373.7	1884	1.06	555.2
550	303	0.68	230.0	541	0.79	312.1	937	0.92	416.7	1989	1.12	619.1
600	319	0.72	254.0	569	0.83	344.7	985	0.96	460.3	2090	1.17	683.8
650	333	0.75	278.4	595	0.87	377.7	1031	1.01	504.3	2188	1.23	749.3
700	348	0.78	303.0	621	0.91	411.1	1076	1.05	548.9	2283	1.28	815.6
750	362	0.81	327.8	646	0.95	444.8	1119	1.09	594.0	2375	1.33	882.5
800	375	0.84	352.9	670	0.98	478.9	1161	1.14	639.4	2464	1.38	950.0
850	389	0.87	378.3	694	1.02	513.2	1202	1.18	685.3	2551	1.43	1018.2
900	402	0.90	403.8	717	1.05	547.9	1242	1.21	731.6	2635	1.48	1086.9
950	414	0.93	429.5	740	1.08	582.8	1281	1.25	778.2	2718	1.53	1156.2
1000	426	0.96	455.5	762	1.12	618.0	1319	1.29	825.2	2799	1.57	1226.0
1100	450	1.01	507.9	804	1.18	689.1	1393	1.36	920.1	3082	1.73	1486
1200	473	1.06	561.0	845	1.24	761.1	1464	1.43	1016.3	3219	1.81	1622
1300	495	1.11	614.7	885	1.30	834.0	1532	1.50	1113.7	3350	1.88	1757
1400	517	1.16	669.0	923	1.35	907.7	1599	1.56	1212.1	3477	1.95	1892
1500	538	1.21	723.9	960	1.41	982.2	1663	1.63	1311.6	3599	2.02	2027
1600	558	1.25	779.3	996	1.46	1057.4	1726	1.69	1412.0	3717	2.09	2162
1700	578	1.30	835.3	1031	1.51	1133.3	1786	1.75	1513.3	3831	2.15	2297
1800	597	1.34	891.6	1065	1.56	1209.8	1846	1.80	1615.4	3942	2.21	2432
1900	615	1.38	948.5	1099	1.61	1286.9	1904	1.86	1718.4	4050	2.28	2568
2000	634	1.42	1005.7	1132	1.66	1364.6	1960	1.92	1822.1	4156	2.33	2703
2100	652	1.46	1063.4	1164	1.71	1442.8	2016	1.97	1926.6	4258	2.39	2838
2200	669	1.50	1121.5	1195	1.75	1521.6	2070	2.02	2031.8	4359	2.45	2973
2300	686	1.54	1179.9	1226	1.80	1600.9	2123	2.08	2137.7	4456	2.50	3108
2400	703	1.58	1238.7	1256	1.84	1680.7	2175	2.13	2244.2	4552	2.56	3243
2500	720	1.62	1297.9	1285	1.88	1760.9	2227	2.18	2351.4	4646	2.61	3378

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 40 °C, DN 12…25

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	35			42			54			64
DN	32			40			50			60
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	656	0.23	25.6	1128	0.26	34.0	2341	0.32	50.0	3582.10	0.35	62.49
30	728	0.25	31.5	1252	0.29	41.9	2598	0.35	61.5	3975.43	0.39	76.96
35	795	0.28	37.6	1367	0.32	50.0	2838	0.38	73.4	4341.49	0.43	91.79
40	858	0.30	43.8	1476	0.34	58.2	3063	0.42	85.5	4685.73	0.46	106.92
45	918	0.32	50.1	1578	0.37	66.6	3276	0.44	97.8	5011.96	0.50	122.33
50	975	0.34	56.5	1676	0.39	75.1	3479	0.47	110.3	5322.98	0.53	137.98
55	1029	0.36	63.0	1770	0.41	83.8	3674	0.50	123.0	5620.92	0.56	153.86
60	1082	0.37	69.5	1860	0.43	92.5	3861	0.52	135.9	5907.46	0.59	169.95
65	1132	0.39	76.2	1948	0.45	101.4	4042	0.55	148.9	6183.94	0.61	186.23
70	1181	0.41	82.9	2032	0.47	110.3	4217	0.57	162.0	6451.43	0.64	202.68
75	1229	0.43	89.7	2113	0.49	119.4	4386	0.59	175.3	6710.86	0.66	219.31
80	1275	0.44	96.6	2193	0.51	128.5	4551	0.62	188.8	6962.97	0.69	236.10
85	1320	0.46	103.5	2270	0.53	137.8	4712	0.64	202.3	7208.41	0.71	253.04
90	1364	0.47	110.5	2346	0.54	147.0	4868	0.66	216.0	7447.74	0.74	270.12
95	1406	0.49	117.6	2419	0.56	156.4	5021	0.68	229.7	7681.43	0.76	287.34
100	1448	0.50	124.7	2491	0.58	165.9	5170	0.70	243.6	7909.91	0.78	304.69
110	1529	0.53	139.0	2631	0.61	185.0	5460	0.74	271.6	8352.66	0.83	339.75
120	1607	0.56	153.6	2765	0.64	204.3	5738	0.78	300.0	8778.45	0.87	375.27
130	1683	0.58	168.3	2894	0.67	223.9	6006	0.81	328.8	9189.29	0.91	411.22
140	1755	0.61	183.1	3019	0.70	243.6	6266	0.85	357.8	9586.79	0.95	447.56
150	1826	0.63	198.2	3141	0.73	263.6	6518	0.88	387.2	9972.30	0.99	484.28
160	1894	0.66	213.3	3259	0.76	283.8	6763	0.92	416.8	10346.93	1.03	521.35
170	1961	0.68	228.6	3373	0.78	304.2	7002	0.95	446.7	10711.66	1.06	558.76
180	2026	0.70	244.1	3485	0.81	324.7	7234	0.98	476.9	11067.30	1.10	596.48
190	2090	0.72	259.6	3595	0.83	345.4	7461	1.01	507.3	11804	1.17	679
200	2152	0.75	275.3	3702	0.86	366.3	7683	1.04	537.9	12111	1.20	714
220	2273	0.79	307.0	3909	0.91	408.4	8427	1.14	647	12702	1.26	786
240	2388	0.83	339.1	4108	0.95	451.1	8801	1.19	706	13267	1.31	857
260	2500	0.87	371.6	4301	1.00	494.3	9161	1.24	765	13809	1.37	929
280	2608	0.90	404.4	4487	1.04	538.0	9506	1.29	824	14330	1.42	1000
300	2713	0.94	437.6	4887	1.13	638	9840	1.33	882	14833	1.47	1071
350	2963	1.03	521.9	5278	1.23	745	10629	1.44	1029	16021	1.59	1250
400	3198	1.11	607.9	5643	1.31	851	11362	1.54	1176	17128	1.70	1429
450	3421	1.18	695.5	5985	1.39	957	12052	1.63	1324	18167	1.80	1607
500	3633	1.26	784.5	6309	1.46	1064	12703	1.72	1471	19149	1.90	1786
550	3994	1.38	948	6617	1.54	1170	13324	1.81	1618	20084	1.99	1964
600	4172	1.44	1034	6911	1.60	1277	13916	1.89	1765	20977	2.08	2143
650	4342	1.50	1121	7193	1.67	1383	14484	1.96	1912	21833	2.16	2321
700	4506	1.56	1207	7465	1.73	1489	15031	2.04	2059	22658	2.25	2500
750	4664	1.61	1293	7727	1.79	1596	15559	2.11	2206	23453	2.32	2679
800	4817	1.67	1379	7980	1.85	1702	16069	2.18	2353	24222	2.40	2857
850	4965	1.72	1466	8226	1.91	1809	16563	2.25	2500	24968	2.47	3036
900	5109	1.77	1552	8464	1.96	1915	17044	2.31	2647	25691	2.55	3214
950	5249	1.82	1638	8696	2.02	2021	17511	2.37	2794	26395	2.62	3393
1000	5386	1.86	1724	8922	2.07	2128	17965	2.44	2941	27081	2.68	3571
1100	5649	1.96	1897	9358	2.17	2340	18842	2.55	3235	28403	2.81	3929
1200	5900	2.04	2069	9774	2.27	2553	19680	2.67	3529	29666	2.94	4286
1300	6141	2.13	2241	10173	2.36	2766	20484	2.78	3824	30877	3.06	4643
1400	6372	2.21	2414	10557	2.45	2979	21257	2.88	4118	32043	3.18	5000
1500	6596	2.28	2586	10927	2.54	3191	22003	2.98	4412	33167	3.29	5357
1600	6812	2.36	2759	11286	2.62	3404	22725	3.08	4706	34255	3.39	5714
1700	7022	2.43	2931	11633	2.70	3617	23424	3.18	5000	35309	3.50	6071
1800	7226	2.50	3103	11970	2.78	3830	24103	3.27	5294	36333	3.60	6429
1900	7424	2.57	3276	12298	2.85	4043	24764	3.36	5588	37329	3.70	6786
2000	7616	2.64	3448	12618	2.93	4255	25407	3.44	5882	38298	3.79	7143
2100	7805	2.70	3621	12929	3.00	4468	26034	3.53	6176	39244	3.89	7500
2200	7988	2.77	3793	13234	3.07	4681	26647	3.61	6471	40168	3.98	7857
2300	8168	2.83	3966	13531	3.14	4894	27246	3.69	6765	41071	4.07	8214
2400	8343	2.89	4138	13822	3.21	5106	27832	3.77	7059	41954	4.16	8571
2500	8515	2.95	4310	14107	3.27	5319	28406	3.85	7353	42819	4.24	8929

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 40 °C, DN 32…60

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	76.1			88.9			108
DN	65			80			100
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	5898	0.40	81.2	9190	0.45	102.60	15942	0.53	137.10
30	6545	0.45	100.1	10200	0.50	126.37	17692	0.58	168.86
35	7148	0.49	119.3	11139	0.55	150.71	19321	0.64	201.39
40	7715	0.53	139.0	12022	0.59	175.56	20853	0.69	234.60
45	8252	0.57	159.0	12859	0.64	200.86	22305	0.74	268.40
50	8764	0.60	179.4	13657	0.68	226.56	23689	0.78	302.75
55	9255	0.64	200.0	14421	0.71	252.63	25015	0.82	337.59
60	9727	0.67	220.9	15156	0.75	279.05	26290	0.87	372.88
65	10182	0.70	242.1	15866	0.79	305.78	27521	0.91	408.60
70	10622	0.73	263.5	16552	0.82	332.80	28711	0.95	444.71
75	11049	0.76	285.1	17218	0.85	360.11	29866	0.98	481.20
80	11464	0.79	307.0	17864	0.88	387.67	30988	1.02	518.03
85	11869	0.81	329.0	18494	0.92	415.48	32080	1.06	555.20
90	12263	0.84	351.2	19108	0.95	443.53	33145	1.09	592.68
95	12647	0.87	373.6	19708	0.98	471.80	34185	1.13	630.45
100	13024	0.89	396.1	20294	1.00	500.29	35202	1.16	668.52
110	13752	0.94	441.7	21430	1.06	557.86	39604	1.31	846
120	14454	0.99	487.9	22522	1.11	616.19	41365	1.36	923
130	15130	1.04	534.6	23576	1.17	675.21	43054	1.42	1000
140	15784	1.08	581.9	24596	1.22	734.89	44679	1.47	1077
150	16419	1.13	629.6	25585	1.27	795.18	46247	1.53	1154
160	17036	1.17	677.8	27835	1.38	941	47764	1.58	1231
170	17637	1.21	726.4	28692	1.42	1000	49234	1.62	1308
180	18222	1.25	775.5	29524	1.46	1059	50661	1.67	1385
190	19683	1.35	905	30333	1.50	1118	52049	1.72	1462
200	20194	1.39	952	31121	1.54	1176	53401	1.76	1538
220	21179	1.45	1048	32640	1.62	1294	56008	1.85	1692
240	22121	1.52	1143	34091	1.69	1412	58498	1.93	1846
260	23025	1.58	1238	35483	1.76	1529	60887	2.01	2000
280	23894	1.64	1333	36822	1.82	1647	63185	2.08	2154
300	24732	1.70	1429	38115	1.89	1765	65403	2.16	2308
350	26714	1.83	1667	41169	2.04	2059	70643	2.33	2692
400	28558	1.96	1905	44011	2.18	2353	75521	2.49	3077
450	30291	2.08	2143	46681	2.31	2647	80102	2.64	3462
500	31929	2.19	2381	49206	2.44	2941	84435	2.78	3846
550	33488	2.30	2619	51608	2.55	3235	88556	2.92	4231
600	34977	2.40	2857	53903	2.67	3529	92494	3.05	4615
650	36405	2.50	3095	56104	2.78	3824	96271	3.18	5000
700	37779	2.59	3333	58221	2.88	4118	99905	3.29	5385
750	39105	2.68	3571	60265	2.98	4412	103411	3.41	5769
800	40388	2.77	3810	62241	3.08	4706	106803	3.52	6154
850	41631	2.86	4048	64157	3.18	5000	110090	3.63	6538
900	42838	2.94	4286	66017	3.27	5294	113282	3.74	6923
950	44011	3.02	4524	67826	3.36	5588	116386	3.84	7308
1000	45155	3.10	4762	69588	3.44	5882	119409	3.94	7692
1100	47359	3.25	5238	72984	3.61	6471	125237	4.13	8462
1200	49465	3.39	5714	76230	3.77	7059	130806	4.31	9231
1300	51484	3.53	6190	79342	3.93	7647	136147	4.49	10000
1400	53428	3.67	6667	82338	4.07	8235	141287	4.66	10769
1500	55303	3.79	7143	85227	4.22	8824	146246	4.82	11538
1600	57117	3.92	7619	88023	4.36	9412	151042	4.98	12308
1700	58875	4.04	8095	90732	4.49	10000	155691	5.13	13077
1800	60582	4.16	8571	93362	4.62	10588	160204	5.28	13846
1900	62242	4.27	9048	95920	4.75	11176	164594	5.43	14615
2000	63859	4.38	9524	98412	4.87	11765	168870	5.57	15385
2100	65436	4.49	10000	100842	4.99	12353	173040	5.71	16154
2200	66975	4.60	10476	103216	5.11	12941	177113	5.84	16923
2300	68481	4.70	10952	105535	5.22	13529	181093	5.97	17692
2400	69954	4.80	11429	107805	5.34	14118	184988	6.10	18462
2500	71396	4.90	11905	110028	5.45	14706	188803	6.23	19231

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 40 °C, DN 65…100

4.4.2 Medio: acqua a 60 °C

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	15			18			22			28
DN	12			15			20			25
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	54	0.12	7.4	97	0.14	10.0	167	0.17	13.4	355	0.20	19.9
30	60	0.14	9.1	107	0.16	12.4	186	0.18	16.5	394	0.22	24.5
35	66	0.15	10.9	117	0.17	14.7	203	0.20	19.7	430	0.24	29.2
40	71	0.16	12.6	126	0.19	17.2	219	0.22	22.9	464	0.26	34.0
45	76	0.17	14.5	135	0.20	19.6	234	0.23	26.2	497	0.28	38.9
50	80	0.18	16.3	143	0.21	22.1	249	0.25	29.6	527	0.30	43.9
55	85	0.19	18.2	152	0.22	24.7	262	0.26	33.0	557	0.32	49.0
60	89	0.20	20.1	159	0.24	27.3	276	0.27	36.4	585	0.33	54.1
65	93	0.21	22.0	167	0.25	29.9	289	0.28	39.9	613	0.35	59.3
70	97	0.22	24.0	174	0.26	32.5	301	0.30	43.4	639	0.36	64.5
75	101	0.23	25.9	181	0.27	35.2	313	0.31	47.0	665	0.38	69.8
80	105	0.24	27.9	188	0.28	37.9	325	0.32	50.6	690	0.39	75.2
85	109	0.25	29.9	194	0.29	40.6	337	0.33	54.2	714	0.40	80.6
90	112	0.25	32.0	201	0.30	43.4	348	0.34	57.9	738	0.42	86.0
95	116	0.26	34.0	207	0.31	46.1	359	0.35	61.6	761	0.43	91.5
100	119	0.27	36.0	213	0.32	48.9	369	0.36	65.3	784	0.44	97.0
110	126	0.29	40.2	225	0.33	54.5	390	0.38	72.8	828	0.47	108.2
120	133	0.30	44.4	237	0.35	60.2	410	0.40	80.4	870	0.49	119.5
130	139	0.31	48.6	248	0.37	66.0	429	0.42	88.1	911	0.52	130.9
140	145	0.33	52.9	258	0.38	71.8	448	0.44	95.9	950	0.54	142.5
150	151	0.34	57.3	269	0.40	77.7	466	0.46	103.8	988	0.56	154.2
160	156	0.35	61.7	279	0.41	83.7	483	0.48	111.7	1025	0.58	166.0
170	162	0.37	66.1	289	0.43	89.7	500	0.49	119.7	1061	0.60	177.9
180	167	0.38	70.6	298	0.44	95.7	517	0.51	127.8	1097	0.62	189.9
190	172	0.39	75.1	308	0.46	101.8	533	0.53	136.0	1131	0.64	202.0
200	177	0.40	79.6	317	0.47	108.0	549	0.54	144.2	1165	0.66	214.2
220	187	0.42	88.7	335	0.49	120.4	580	0.57	160.8	1230	0.70	238.9
240	197	0.45	98.0	352	0.52	133.0	609	0.60	177.6	1293	0.73	263.8
260	206	0.47	107.4	368	0.54	145.7	638	0.63	194.6	1353	0.77	289.1
280	215	0.49	116.9	384	0.57	158.6	665	0.66	211.8	1412	0.80	314.7
300	224	0.51	126.5	399	0.59	171.6	692	0.68	229.2	1468	0.83	340.5
350	244	0.55	150.9	436	0.65	204.7	756	0.75	273.3	1604	0.91	406.1
400	264	0.60	175.7	471	0.70	238.4	816	0.80	318.4	1731	0.98	473.0
450	282	0.64	201.1	504	0.74	272.8	872	0.86	364.2	1851	1.05	541.2
500	300	0.68	226.8	535	0.79	307.7	927	0.91	410.9	1966	1.11	610.4
550	316	0.72	252.9	565	0.84	343.1	978	0.97	458.1	2076	1.18	680.7
600	332	0.75	279.3	594	0.88	379.0	1028	1.01	506.0	2182	1.24	751.9
650	348	0.79	306.1	621	0.92	415.3	1076	1.06	554.5	2284	1.29	823.9
700	363	0.82	333.1	648	0.96	452.0	1123	1.11	603.5	2383	1.35	896.7
750	378	0.86	360.5	674	1.00	489.1	1168	1.15	653.0	2479	1.41	970.3
800	392	0.89	388.0	700	1.03	526.5	1212	1.20	703.0	2572	1.46	1044.5
850	406	0.92	415.9	724	1.07	564.3	1255	1.24	753.5	2662	1.51	1119.5
900	419	0.95	444.0	748	1.11	602.3	1296	1.28	804.3	2751	1.56	1195.0
950	432	0.98	472.3	772	1.14	640.7	1337	1.32	855.6	2837	1.61	1271.2
1000	445	1.01	500.8	795	1.18	679.4	1377	1.36	907.2	2921	1.66	1348.0
1100	470	1.07	558.4	839	1.24	757.6	1454	1.43	1011.7	3068	1.74	1486
1200	494	1.12	616.8	882	1.30	836.8	1528	1.51	1117.4	3204	1.82	1622
1300	517	1.17	675.9	923	1.37	917.0	1600	1.58	1224.5	3335	1.89	1757
1400	540	1.22	735.6	963	1.42	998.0	1669	1.65	1332.7	3461	1.96	1892
1500	561	1.27	795.9	1002	1.48	1079.9	1736	1.71	1442.0	3583	2.03	2027
1600	582	1.32	856.9	1040	1.54	1162.6	1801	1.78	1552.4	3700	2.10	2162
1700	603	1.37	918.3	1076	1.59	1246.0	1865	1.84	1663.8	3814	2.16	2297
1800	623	1.41	980.3	1112	1.65	1330.1	1926	1.90	1776.1	3925	2.22	2432
1900	642	1.46	1042.8	1147	1.70	1414.9	1987	1.96	1889.3	4032	2.29	2568
2000	662	1.50	1105.8	1181	1.75	1500.3	2046	2.02	2003.4	4137	2.34	2703
2100	680	1.54	1169.2	1215	1.80	1586.3	2104	2.08	2118.2	4239	2.40	2838
2200	699	1.58	1233.0	1247	1.84	1672.9	2161	2.13	2233.9	4339	2.46	2973
2300	717	1.62	1297.3	1279	1.89	1760.1	2216	2.19	2350.3	4436	2.51	3108
2400	734	1.66	1362.0	1311	1.94	1847.9	2271	2.24	2467.5	4532	2.57	3243
2500	751	1.70	1427.0	1342	1.98	1936.1	2324	2.29	2585.3	4625	2.62	3378

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 60 °C, DN 12…25

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	35			42			54			64
DN	32			40			50			60
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	685	0.24	28.1	1178	0.28	37.4	2444	0.33	54.9	3738.96	0.37	68.70
30	760	0.27	34.6	1307	0.31	46.1	2712	0.37	67.7	4149.52	0.41	84.62
35	830	0.29	41.3	1427	0.33	54.9	2962	0.41	80.7	4531.61	0.45	100.92
40	895	0.31	48.1	1540	0.36	64.0	3197	0.44	94.0	4890.92	0.49	117.56
45	958	0.33	55.0	1648	0.39	73.2	3419	0.47	107.5	5231.44	0.52	134.50
50	1017	0.36	62.1	1750	0.41	82.6	3632	0.50	121.3	5556.08	0.56	151.71
55	1074	0.38	69.2	1848	0.43	92.1	3835	0.52	135.2	5867.07	0.59	169.16
60	1129	0.39	76.5	1942	0.45	101.7	4030	0.55	149.4	6166.16	0.62	186.85
65	1182	0.41	83.8	2033	0.48	111.5	4219	0.58	163.7	6454.74	0.65	204.75
70	1233	0.43	91.2	2121	0.50	121.3	4402	0.60	178.2	6733.95	0.67	222.85
75	1283	0.45	98.7	2206	0.52	131.3	4579	0.63	192.8	7004.74	0.70	241.13
80	1331	0.46	106.2	2289	0.54	141.3	4751	0.65	207.5	7267.89	0.73	259.59
85	1378	0.48	113.8	2370	0.56	151.5	4918	0.67	222.4	7524.08	0.75	278.21
90	1423	0.50	121.5	2448	0.57	161.7	5081	0.70	237.4	7773.89	0.78	296.99
95	1468	0.51	129.3	2525	0.59	172.0	5241	0.72	252.6	8017.81	0.80	315.92
100	1512	0.53	137.1	2600	0.61	182.4	5397	0.74	267.8	8256.30	0.83	334.99
110	1596	0.56	152.9	2746	0.64	203.4	5699	0.78	298.6	8718.43	0.87	373.55
120	1678	0.59	168.8	2886	0.68	224.6	5989	0.82	329.9	9162.87	0.92	412.60
130	1756	0.61	185.0	3021	0.71	246.1	6269	0.86	361.5	9591.70	0.96	452.13
140	1832	0.64	201.4	3151	0.74	267.9	6541	0.89	393.4	10006.61	1.00	492.09
150	1906	0.67	217.9	3278	0.77	289.9	6804	0.93	425.7	10409.00	1.04	532.46
160	1977	0.69	234.6	3401	0.80	312.1	7059	0.97	458.3	10800.04	1.08	573.22
170	2047	0.72	251.4	3521	0.82	334.4	7308	1.00	491.2	11180.74	1.12	614.34
180	2115	0.74	268.4	3638	0.85	357.0	7551	1.03	524.3	11551.95	1.16	655.81
190	2181	0.76	285.5	3752	0.88	379.8	7788	1.07	557.7	11751	1.17	679
200	2246	0.78	302.7	3864	0.91	402.7	8019	1.10	591.4	12056	1.21	714
220	2372	0.83	337.5	4080	0.96	449.0	8388	1.15	647	12644	1.26	786
240	2493	0.87	372.8	4288	1.00	496.0	8761	1.20	706	13207	1.32	857
260	2610	0.91	408.5	4489	1.05	543.5	9119	1.25	765	13746	1.37	929
280	2723	0.95	444.6	4683	1.10	591.5	9463	1.29	824	14265	1.43	1000
300	2832	0.99	481.1	4865	1.14	638	9795	1.34	882	14765	1.48	1071
350	3093	1.08	573.8	5254	1.23	745	10580	1.45	1029	15949	1.59	1250
400	3338	1.17	668.4	5617	1.32	851	11311	1.55	1176	17050	1.70	1429
450	3570	1.25	764.7	5958	1.40	957	11997	1.64	1324	18084	1.81	1607
500	3792	1.32	862.6	6280	1.47	1064	12646	1.73	1471	19062	1.91	1786
550	3976	1.39	948	6587	1.54	1170	13263	1.81	1618	19993	2.00	1964
600	4153	1.45	1034	6880	1.61	1277	13853	1.89	1765	20882	2.09	2143
650	4322	1.51	1121	7161	1.68	1383	14418	1.97	1912	21734	2.17	2321
700	4485	1.57	1207	7431	1.74	1489	14963	2.05	2059	22555	2.26	2500
750	4643	1.62	1293	7692	1.80	1596	15488	2.12	2206	23346	2.33	2679
800	4795	1.68	1379	7944	1.86	1702	15996	2.19	2353	24112	2.41	2857
850	4943	1.73	1466	8188	1.92	1809	16488	2.26	2500	24854	2.49	3036
900	5086	1.78	1552	8426	1.97	1915	16966	2.32	2647	25575	2.56	3214
950	5225	1.83	1638	8657	2.03	2021	17431	2.38	2794	26275	2.63	3393
1000	5361	1.87	1724	8882	2.08	2128	17884	2.45	2941	26958	2.70	3571
1100	5623	1.96	1897	9315	2.18	2340	18757	2.57	3235	28274	2.83	3929
1200	5873	2.05	2069	9729	2.28	2553	19591	2.68	3529	29531	2.95	4286
1300	6113	2.14	2241	10126	2.37	2766	20391	2.79	3824	30737	3.07	4643
1400	6343	2.22	2414	10509	2.46	2979	21160	2.89	4118	31897	3.19	5000
1500	6566	2.29	2586	10878	2.55	3191	21903	3.00	4412	33017	3.30	5357
1600	6781	2.37	2759	11234	2.63	3404	22621	3.09	4706	34099	3.41	5714
1700	6990	2.44	2931	11580	2.71	3617	23318	3.19	5000	35149	3.51	6071
1800	7193	2.51	3103	11916	2.79	3830	23994	3.28	5294	36168	3.62	6429
1900	7390	2.58	3276	12242	2.87	4043	24651	3.37	5588	37159	3.72	6786
2000	7582	2.65	3448	12560	2.94	4255	25291	3.46	5882	38124	3.81	7143
2100	7769	2.71	3621	12871	3.02	4468	25916	3.54	6176	39066	3.91	7500
2200	7952	2.78	3793	13173	3.09	4681	26526	3.63	6471	39985	4.00	7857
2300	8131	2.84	3966	13469	3.16	4894	27122	3.71	6765	40884	4.09	8214
2400	8305	2.90	4138	13759	3.22	5106	27705	3.79	7059	41763	4.18	8571
2500	8477	2.96	4310	14043	3.29	5319	28277	3.87	7353	42624	4.26	8929

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 60 °C, DN 32…60

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	76.1			88.9			108
DN	65			80			100
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	6156	0.43	89.3	9593	0.48	112.81	16640	0.55	150.74
30	6832	0.47	110.0	10646	0.53	138.94	18467	0.61	185.66
35	7461	0.52	131.2	11626	0.58	165.71	20167	0.67	221.43
40	8053	0.56	152.8	12548	0.63	193.03	21766	0.72	257.93
45	8613	0.60	174.9	13422	0.67	220.84	23282	0.77	295.10
50	9148	0.63	197.2	14255	0.71	249.10	24726	0.82	332.86
55	9660	0.67	219.9	15053	0.75	277.76	26111	0.87	371.17
60	10152	0.70	242.9	15820	0.79	306.81	27442	0.91	409.97
65	10628	0.74	266.2	16561	0.83	336.19	28726	0.96	449.25
70	11087	0.77	289.7	17277	0.86	365.91	29968	1.00	488.95
75	11533	0.80	313.5	17972	0.90	395.93	31174	1.04	529.07
80	11966	0.83	337.5	18647	0.93	426.24	32345	1.08	569.57
85	12388	0.86	361.7	19304	0.96	456.81	33485	1.11	610.43
90	12800	0.89	386.1	19945	1.00	487.65	34597	1.15	651.63
95	13201	0.91	410.7	20571	1.03	518.73	35682	1.19	693.17
100	13594	0.94	435.5	21183	1.06	550.05	36743	1.22	735.02
110	14355	0.99	485.6	22368	1.12	613.35	39424	1.31	846
120	15086	1.04	536.4	23509	1.17	677.48	41177	1.37	923
130	15793	1.09	587.8	24609	1.23	742.38	42858	1.43	1000
140	16476	1.14	639.8	25673	1.28	807.99	44476	1.48	1077
150	17138	1.19	692.2	26706	1.33	874.28	46037	1.53	1154
160	17782	1.23	745.2	27709	1.38	941	47547	1.58	1231
170	18409	1.27	798.7	28561	1.43	1000	49010	1.63	1308
180	19020	1.32	852.6	29389	1.47	1059	50431	1.68	1385
190	19593	1.36	905	30195	1.51	1118	51813	1.72	1462
200	20102	1.39	952	30979	1.55	1176	53159	1.77	1538
220	21083	1.46	1048	32491	1.62	1294	55753	1.86	1692
240	22021	1.52	1143	33936	1.69	1412	58232	1.94	1846
260	22920	1.59	1238	35322	1.76	1529	60610	2.02	2000
280	23785	1.65	1333	36655	1.83	1647	62898	2.09	2154
300	24620	1.70	1429	37942	1.89	1765	65106	2.17	2308
350	26592	1.84	1667	40982	2.05	2059	70322	2.34	2692
400	28429	1.97	1905	43811	2.19	2353	75178	2.50	3077
450	30153	2.09	2143	46469	2.32	2647	79738	2.65	3462
500	31784	2.20	2381	48982	2.45	2941	84051	2.80	3846
550	33335	2.31	2619	51373	2.57	3235	88154	2.93	4231
600	34818	2.41	2857	53658	2.68	3529	92073	3.06	4615
650	36239	2.51	3095	55848	2.79	3824	95833	3.19	5000
700	37607	2.60	3333	57957	2.89	4118	99451	3.31	5385
750	38927	2.70	3571	59991	3.00	4412	102941	3.43	5769
800	40204	2.78	3810	61958	3.09	4706	106317	3.54	6154
850	41441	2.87	4048	63865	3.19	5000	109589	3.65	6538
900	42643	2.95	4286	65717	3.28	5294	112767	3.75	6923
950	43811	3.03	4524	67518	3.37	5588	115857	3.86	7308
1000	44949	3.11	4762	69272	3.46	5882	118866	3.96	7692
1100	47143	3.26	5238	72653	3.63	6471	124668	4.15	8462
1200	49240	3.41	5714	75883	3.79	7059	130212	4.33	9231
1300	51250	3.55	6190	78982	3.94	7647	135528	4.51	10000
1400	53185	3.68	6667	81963	4.09	8235	140645	4.68	10769
1500	55052	3.81	7143	84840	4.24	8824	145581	4.85	11538
1600	56857	3.94	7619	87622	4.38	9412	150355	5.00	12308
1700	58607	4.06	8095	90319	4.51	10000	154983	5.16	13077
1800	60306	4.18	8571	92938	4.64	10588	159476	5.31	13846
1900	61959	4.29	9048	95484	4.77	11176	163846	5.45	14615
2000	63568	4.40	9524	97965	4.89	11765	168102	5.59	15385
2100	65138	4.51	10000	100384	5.01	12353	172254	5.73	16154
2200	66671	4.62	10476	102746	5.13	12941	176307	5.87	16923
2300	68169	4.72	10952	105055	5.25	13529	180270	6.00	17692
2400	69635	4.82	11429	107315	5.36	14118	184147	6.13	18462
2500	71071	4.92	11905	109528	5.47	14706	187944	6.26	19231

Tabella di perdita di pressione dei tubi Optipress-Therm in acciaio zincato con medio acqua 60 °C, DN 65…100

4.5 Tabelle di perdita di pressione Optipress 1.4520

Esempio di lettura: Per acqua a +7 °C con dimensione dei tubi 22 e perdita di pressione R = 50 Pa/m, dalla tabella si ricavano:

Portata di massa dell’acqua ṁ: 232 kg/h
Velocità di flusso dell’acqua v: 0.21 m/s
Pressione dinamica P_din 22.9 Pa

4.5.1 Medio: acqua a 7 °C

Densità:	999.9 kg/m³
Viscosità:	0.0014 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	15			18			22			28
d_i	13			16			19.6			25.6
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	51	0.11	5.8	90	0.12	7.8	156	0.14	10.4	323	0.17	15.2
30	57	0.12	7.1	100	0.14	9.6	174	0.16	12.8	358	0.19	18.7
35	62	0.13	8.5	109	0.15	11.4	190	0.17	15.2	391	0.21	22.3
40	67	0.14	9.9	118	0.16	13.3	205	0.19	17.8	422	0.23	26.0
45	72	0.15	11.3	126	0.17	15.2	219	0.20	20.3	452	0.24	29.8
50	76	0.16	12.7	134	0.19	17.1	232	0.21	22.9	480	0.26	33.6
55	81	0.17	14.2	141	0.20	19.1	245	0.23	25.6	507	0.27	37.4
60	85	0.18	15.7	149	0.21	21.1	258	0.24	28.2	533	0.29	41.3
65	89	0.19	17.2	156	0.22	23.1	270	0.25	30.9	557	0.30	45.3
70	92	0.19	18.7	162	0.22	25.2	282	0.26	33.7	582	0.31	49.3
75	96	0.20	20.3	169	0.23	27.3	293	0.27	36.4	605	0.33	53.3
80	100	0.21	21.8	175	0.24	29.3	304	0.28	39.2	628	0.34	57.4
85	103	0.22	23.4	181	0.25	31.5	315	0.29	42.0	650	0.35	61.5
90	107	0.22	25.0	187	0.26	33.6	325	0.30	44.9	671	0.36	65.7
95	110	0.23	26.5	193	0.27	35.7	335	0.31	47.7	692	0.37	69.9
100	113	0.24	28.1	199	0.28	37.9	345	0.32	50.6	713	0.39	74.1
110	120	0.25	31.4	210	0.29	42.2	365	0.34	56.4	753	0.41	82.6
120	126	0.26	34.7	221	0.31	46.6	383	0.35	62.3	791	0.43	91.3
130	132	0.28	38.0	231	0.32	51.1	401	0.37	68.3	828	0.45	100.0
140	137	0.29	41.3	241	0.33	55.6	419	0.39	74.3	864	0.47	108.9
150	143	0.30	44.7	251	0.35	60.2	435	0.40	80.4	899	0.49	117.8
160	148	0.31	48.2	260	0.36	64.8	452	0.42	86.6	933	0.50	126.8
170	153	0.32	51.6	270	0.37	69.4	468	0.43	92.8	966	0.52	135.9
180	159	0.33	55.1	279	0.39	74.1	483	0.45	99.1	998	0.54	145.1
190	164	0.34	58.6	287	0.40	78.9	498	0.46	105.4	1029	0.56	154.3
200	168	0.35	62.2	296	0.41	83.6	513	0.47	111.7	1060	0.57	163.7
220	178	0.37	69.3	312	0.43	93.2	542	0.50	124.6	1119	0.60	182.5
240	187	0.39	76.6	328	0.45	103.0	570	0.52	137.6	1176	0.63	201.6
260	196	0.41	83.9	344	0.48	112.9	596	0.55	150.8	1231	0.66	220.9
280	204	0.43	91.3	359	0.50	122.8	622	0.57	164.1	1284	0.69	240.4
300	212	0.44	98.8	373	0.52	132.9	647	0.60	177.6	1336	0.72	260.1
350	232	0.49	117.8	407	0.56	158.5	707	0.65	211.8	1459	0.79	310.2
400	250	0.52	137.3	440	0.61	184.7	763	0.70	246.8	1574	0.85	361.4
450	268	0.56	157.0	470	0.65	211.3	816	0.75	282.3	1684	0.91	413.4
500	284	0.60	177.1	499	0.69	238.3	866	0.80	318.4	1789	0.97	466.4
550	300	0.63	197.5	527	0.73	265.7	915	0.84	355.1	1889	1.02	520.0
600	315	0.66	218.2	554	0.77	293.5	961	0.89	392.2	1985	1.07	574.4
650	330	0.69	239.1	580	0.80	321.6	1006	0.93	429.8	2078	1.12	629.4
700	345	0.72	260.2	605	0.84	350.0	1050	0.97	467.8	2168	1.17	685.0
750	358	0.75	281.5	630	0.87	378.8	1092	1.01	506.1	2255	1.22	741.2
800	372	0.78	303.1	653	0.90	407.8	1133	1.04	544.9	2340	1.26	798.0
850	385	0.81	324.8	676	0.93	437.0	1173	1.08	584.0	2422	1.31	855.2
900	398	0.83	346.8	699	0.97	466.5	1212	1.12	623.4	2502	1.35	913.0
950	410	0.86	368.9	721	1.00	496.2	1250	1.15	663.1	2581	1.39	971.2
1000	422	0.88	391.1	742	1.03	526.2	1287	1.19	703.2	2658	1.44	1029.8
1100	446	0.93	436.1	784	1.08	586.8	1359	1.25	784.1	2807	1.52	1148.3
1200	469	0.98	481.7	824	1.14	648.1	1429	1.32	866.1	2950	1.59	1268.4
1300	491	1.03	527.9	862	1.19	710.2	1496	1.38	949.0	3088	1.67	1389.9
1400	512	1.07	574.6	899	1.24	773.0	1560	1.44	1032.9	3221	1.74	1512.7
1500	533	1.12	621.7	936	1.29	836.4	1623	1.50	1117.6	3351	1.81	1636.8
1600	553	1.16	669.3	971	1.34	900.4	1684	1.55	1203.2	3477	1.88	1762.1
1700	572	1.20	717.3	1005	1.39	965.0	1743	1.61	1289.5	3599	1.94	1888.5
1800	591	1.24	765.7	1038	1.44	1030.1	1801	1.66	1376.6	3719	2.01	2016.0
1900	610	1.28	814.5	1071	1.48	1095.8	1858	1.71	1464.3	3835	2.07	2144.5
2000	628	1.31	863.7	1103	1.52	1161.9	1913	1.76	1552.7	3949	2.13	2274.0
2100	645	1.35	913.2	1134	1.57	1228.6	1967	1.81	1641.8	4061	2.19	2404.4
2200	663	1.39	963.1	1165	1.61	1295.7	2020	1.86	1731.4	4171	2.25	2535.6
2300	680	1.42	1013.3	1194	1.65	1363.2	2072	1.91	1821.6	4278	2.31	2667.8
2400	697	1.46	1063.8	1224	1.69	1431.1	2123	1.96	1912.4	4383	2.37	2800.8
2500	713	1.49	1114.6	1253	1.73	1499.5	2173	2.00	2003.8	4487	2.42	2934.5

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 7 °C, d_e 15 … 28 mm

Densità:	999.9 kg/m³
Viscosità:	0.0014 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	35			42			54			64
d_i	32			39			51			61
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	592	0.20	20.9	1012	0.24	27.7	2097	0.29	40.7	3409	0.32	52.5
30	657	0.23	25.7	1123	0.26	34.2	2327	0.32	50.1	3783	0.36	64.7
35	717	0.25	30.7	1227	0.29	40.7	2541	0.35	59.8	4131	0.39	77.2
40	774	0.27	35.8	1324	0.31	47.5	2743	0.37	69.6	4459	0.42	89.9
45	828	0.29	40.9	1416	0.33	54.3	2934	0.40	79.6	4769	0.45	102.9
50	879	0.30	46.2	1504	0.35	61.2	3116	0.42	89.8	5065	0.48	116.0
55	928	0.32	51.5	1588	0.37	68.3	3290	0.45	100.2	5349	0.51	129.4
60	976	0.34	56.9	1669	0.39	75.4	3458	0.47	110.7	5621	0.53	142.9
65	1021	0.35	62.3	1748	0.41	82.7	3620	0.49	121.3	5885	0.56	156.6
70	1066	0.37	67.8	1823	0.42	90.0	3776	0.51	132.0	6139	0.58	170.4
75	1109	0.38	73.4	1896	0.44	97.3	3928	0.53	142.8	6386	0.61	184.4
80	1150	0.40	79.0	1968	0.46	104.8	4076	0.55	153.7	6626	0.63	198.5
85	1191	0.41	84.7	2037	0.47	112.3	4219	0.57	164.8	6859	0.65	212.8
90	1230	0.43	90.4	2105	0.49	119.9	4359	0.59	175.9	7087	0.67	227.1
95	1269	0.44	96.1	2171	0.51	127.5	4496	0.61	187.1	7310	0.70	241.6
100	1307	0.45	101.9	2235	0.52	135.2	4630	0.63	198.4	7527	0.72	256.2
110	1380	0.48	113.7	2360	0.55	150.8	4889	0.67	221.2	7948	0.76	285.7
120	1450	0.50	125.6	2481	0.58	166.6	5138	0.70	244.3	8353	0.79	315.6
130	1518	0.52	137.6	2597	0.60	182.5	5379	0.73	267.7	8744	0.83	345.8
140	1584	0.55	149.7	2709	0.63	198.6	5611	0.76	291.4	9123	0.87	376.4
150	1647	0.57	162.0	2818	0.66	214.9	5837	0.79	315.3	9490	0.90	407.2
160	1709	0.59	174.4	2924	0.68	231.4	6056	0.82	339.5	9846	0.94	438.4
170	1769	0.61	186.9	3027	0.70	248.0	6270	0.85	363.8	10193	0.97	469.9
180	1828	0.63	199.6	3128	0.73	264.7	6478	0.88	388.4	10532	1.00	501.6
190	1885	0.65	212.3	3226	0.75	281.6	6681	0.91	413.1	10862	1.03	533.5
200	1942	0.67	225.1	3322	0.77	298.6	6880	0.94	438.1	11185	1.06	565.8
220	2050	0.71	251.0	3508	0.82	333.0	7265	0.99	488.5	11811	1.12	630.9
240	2155	0.74	277.2	3686	0.86	367.8	7635	1.04	539.6	12413	1.18	696.8
260	2256	0.78	303.8	3859	0.90	403.0	7993	1.09	591.2	12994	1.24	763.6
280	2353	0.81	330.7	4026	0.94	438.6	8338	1.13	643.5	13556	1.29	831.1
300	2448	0.85	357.8	4188	0.97	474.6	8674	1.18	696.3	14101	1.34	899.2
350	2673	0.92	426.7	4573	1.06	566.1	9472	1.29	830.4	15400	1.46	1072.5
400	2885	1.00	497.1	4936	1.15	659.4	10223	1.39	967.3	16621	1.58	1249.3
450	3086	1.07	568.7	5280	1.23	754.4	10935	1.49	1106.7	17778	1.69	1429.3
500	3278	1.13	641.4	5607	1.30	850.9	11614	1.58	1248.3	18881	1.80	1612.2
550	3461	1.20	715.3	5921	1.38	948.9	12264	1.67	1392.0	19938	1.90	1797.7
600	3637	1.26	790.0	6223	1.45	1048.1	12889	1.75	1537.5	20955	1.99	1985.7
650	3808	1.32	865.7	6514	1.52	1148.5	13492	1.84	1684.8	21935	2.09	2175.9
700	3972	1.37	942.2	6796	1.58	1250.0	14076	1.92	1833.7	22884	2.18	2368.2
750	4132	1.43	1019.5	7069	1.64	1352.5	14642	1.99	1984.2	23804	2.26	2562.5
800	4287	1.48	1097.6	7335	1.71	1456.0	15192	2.07	2136.0	24699	2.35	2758.6
850	4438	1.53	1176.3	7593	1.77	1560.5	15727	2.14	2289.3	25569	2.43	2956.5
900	4586	1.58	1255.7	7845	1.83	1665.8	16250	2.21	2443.8	26418	2.51	3156.1
950	4730	1.63	1335.8	8091	1.88	1772.0	16759	2.28	2599.6	27247	2.59	3357.3
1000	4870	1.68	1416.4	8332	1.94	1879.0	17258	2.35	2756.5	28058	2.67	3560.0
1100	5143	1.78	1579.4	8799	2.05	2095.2	18224	2.48	3073.8	29628	2.82	3969.7
1200	5405	1.87	1744.6	9247	2.15	2314.3	19153	2.61	3395.1	31138	2.96	4384.7
1300	5658	1.96	1911.7	9680	2.25	2536.0	20049	2.73	3720.4	32596	3.10	4804.7
1400	5903	2.04	2080.6	10099	2.35	2760.1	20916	2.85	4049.2	34006	3.23	5229.4
1500	6140	2.12	2251.3	10505	2.44	2986.6	21758	2.96	4381.4	35373	3.36	5658.4
1600	6371	2.20	2423.7	10899	2.54	3215.2	22575	3.07	4716.8	36702	3.49	6091.6
1700	6595	2.28	2597.5	11283	2.63	3445.9	23371	3.18	5055.1	37996	3.61	6528.6
1800	6814	2.36	2772.9	11658	2.71	3678.5	24147	3.29	5396.4	39257	3.73	6969.3
1900	7028	2.43	2949.6	12024	2.80	3912.9	24904	3.39	5740.4	40489	3.85	7413.5
2000	7237	2.50	3127.7	12382	2.88	4149.2	25645	3.49	6086.9	41693	3.97	7861.1
2100	7442	2.57	3307.1	12732	2.96	4387.1	26370	3.59	6436.0	42872	4.08	8311.9
2200	7642	2.64	3487.6	13075	3.04	4626.6	27081	3.68	6787.4	44027	4.19	8765.7
2300	7839	2.71	3669.4	13411	3.12	4867.8	27777	3.78	7141.1	45160	4.29	9222.6
2400	8032	2.78	3852.3	13741	3.20	5110.4	28461	3.87	7497.0	46271	4.40	9682.2
2500	8222	2.84	4036.3	14065	3.27	5354.5	29133	3.96	7855.1	47363	4.50	10144.6

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 7 °C, d_e 35 … 64 mm

Densità:	999.9 kg/m³
Viscosità:	0.0014 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	76.1			88.9			108
d_i	73.1			85.9			105
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	5571	0.37	68.0	8632	0.41	85.7	14886	0.48	114.1
30	6182	0.41	83.8	9580	0.46	105.5	16520	0.53	140.6
35	6751	0.45	100.0	10462	0.50	125.9	18042	0.58	167.7
40	7287	0.48	116.4	11291	0.54	146.6	19472	0.63	195.3
45	7794	0.52	133.2	12077	0.58	167.7	20828	0.67	223.5
50	8278	0.55	150.3	12827	0.62	189.2	22120	0.71	252.1
55	8741	0.58	167.5	13545	0.65	211.0	23359	0.75	281.1
60	9187	0.61	185.1	14235	0.68	233.0	24549	0.79	310.5
65	9617	0.64	202.8	14901	0.71	255.4	25698	0.82	340.2
70	10033	0.66	220.7	15546	0.75	277.9	26810	0.86	370.3
75	10436	0.69	238.8	16171	0.78	300.7	27888	0.90	400.6
80	10828	0.72	257.1	16779	0.80	323.8	28936	0.93	431.3
85	11210	0.74	275.5	17370	0.83	347.0	29956	0.96	462.2
90	11582	0.77	294.1	17947	0.86	370.4	30950	0.99	493.4
95	11945	0.79	312.9	18510	0.89	394.0	31921	1.02	524.9
100	12301	0.81	331.8	19061	0.91	417.8	32871	1.06	556.6
110	12989	0.86	370.0	20127	0.97	465.9	34711	1.11	620.6
120	13651	0.90	408.7	21153	1.01	514.6	36480	1.17	685.5
130	14290	0.95	447.8	22143	1.06	563.9	38187	1.23	751.2
140	14908	0.99	487.4	23101	1.11	613.7	39839	1.28	817.6
150	15508	1.03	527.4	24030	1.15	664.1	41441	1.33	884.7
160	16091	1.07	567.7	24933	1.20	714.9	42998	1.38	952.4
170	16658	1.10	608.5	25812	1.24	766.2	44514	1.43	1020.7
180	17211	1.14	649.5	26669	1.28	817.9	45992	1.48	1089.6
190	17751	1.18	690.9	27506	1.32	870.0	47435	1.52	1159.1
200	18279	1.21	732.6	28324	1.36	922.6	48846	1.57	1229.0
220	19302	1.28	817.0	29909	1.43	1028.7	51580	1.66	1370.5
240	20286	1.34	902.4	31434	1.51	1136.3	54209	1.74	1513.8
260	21235	1.41	988.8	32905	1.58	1245.2	56746	1.82	1658.8
280	22154	1.47	1076.2	34328	1.65	1355.2	59201	1.90	1805.4
300	23045	1.53	1164.5	35709	1.71	1466.4	61582	1.98	1953.5
350	25167	1.67	1388.8	38997	1.87	1748.9	67252	2.16	2329.8
400	27162	1.80	1617.8	42089	2.02	2037.2	72585	2.33	2713.9
450	29053	1.92	1850.9	45019	2.16	2330.8	77638	2.49	3105.0
500	30856	2.04	2087.8	47813	2.29	2629.0	82456	2.65	3502.3
550	32583	2.16	2328.0	50489	2.42	2931.5	87071	2.79	3905.4
600	34244	2.27	2571.4	53063	2.54	3238.0	91510	2.94	4313.7
650	35847	2.37	2817.8	55547	2.66	3548.2	95793	3.07	4726.9
700	37398	2.48	3066.8	57949	2.78	3861.8	99936	3.21	5144.7
750	38901	2.58	3318.4	60280	2.89	4178.7	103955	3.34	5566.8
800	40363	2.67	3572.4	62544	3.00	4498.5	107860	3.46	5992.9
850	41786	2.77	3828.7	64749	3.11	4821.3	111662	3.58	6422.8
900	43173	2.86	4087.2	66899	3.21	5146.7	115370	3.70	6856.4
950	44528	2.95	4347.7	68998	3.31	5474.8	118990	3.82	7293.4
1000	45852	3.04	4610.2	71050	3.41	5805.3	122529	3.93	7733.8
1100	48418	3.21	5140.7	75027	3.60	6473.4	129387	4.15	8623.8
1200	50887	3.37	5678.2	78852	3.78	7150.2	135983	4.36	9525.4
1300	53268	3.53	6222.1	82542	3.96	7835.1	142347	4.57	10437.9
1400	55573	3.68	6772.0	86112	4.13	8527.6	148505	4.77	11360.4
1500	57807	3.83	7327.6	89575	4.30	9227.2	154477	4.96	12292.4
1600	59979	3.97	7888.5	92940	4.46	9933.5	160280	5.14	13233.4
1700	62093	4.11	8454.5	96216	4.61	10646.2	165930	5.33	14182.7
1800	64155	4.25	9025.2	99411	4.77	11364.9	171439	5.50	15140.2
1900	66168	4.38	9600.5	102530	4.92	12089.3	176818	5.68	16105.2
2000	68136	4.51	10180.1	105580	5.06	12819.1	182078	5.84	17077.5
2100	70062	4.64	10763.8	108565	5.21	13554.2	187225	6.01	18056.8
2200	71950	4.77	11351.6	111490	5.35	14294.4	192269	6.17	19042.8
2300	73801	4.89	11943.2	114358	5.48	15039.3	197215	6.33	20035.2
2400	75617	5.01	12538.4	117173	5.62	15788.9	202070	6.49	21033.8
2500	77402	5.13	13137.3	119938	5.75	16542.9	206839	6.64	22038.3

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 7 °C, d_e 76.1 … 108 mm

4.5.2 Medio: acqua a 40 °C

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	15			18			22			28
d_i	13			16			19.6			25.6
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	56	0.12	7.0	99	0.14	9.5	172	0.16	12.6	355	0.19	18.5
30	63	0.13	8.7	110	0.15	11.6	191	0.18	15.6	394	0.21	22.8
35	68	0.14	10.3	120	0.17	13.9	208	0.19	18.6	430	0.23	27.2
40	74	0.16	12.0	130	0.18	16.2	225	0.21	21.6	464	0.25	31.7
45	79	0.17	13.8	139	0.19	18.5	241	0.22	24.7	497	0.27	36.2
50	84	0.18	15.5	147	0.21	20.9	255	0.24	27.9	527	0.29	40.9
55	89	0.19	17.3	155	0.22	23.3	270	0.25	31.1	557	0.30	45.6
60	93	0.20	19.1	163	0.23	25.7	283	0.26	34.4	585	0.32	50.3
65	97	0.21	20.9	171	0.24	28.2	297	0.28	37.7	613	0.33	55.2
70	102	0.21	22.8	178	0.25	30.7	310	0.29	41.0	639	0.35	60.0
75	106	0.22	24.7	186	0.26	33.2	322	0.30	44.4	665	0.36	65.0
80	110	0.23	26.6	193	0.27	35.7	334	0.31	47.7	690	0.38	69.9
85	113	0.24	28.5	199	0.28	38.3	346	0.32	51.2	714	0.39	74.9
90	117	0.25	30.4	206	0.29	40.9	357	0.33	54.6	738	0.40	80.0
95	121	0.26	32.3	212	0.30	43.5	369	0.34	58.1	761	0.41	85.1
100	125	0.26	34.3	219	0.30	46.1	380	0.35	61.6	784	0.43	90.2
110	132	0.28	38.2	231	0.32	51.4	401	0.37	68.7	828	0.45	100.6
120	138	0.29	42.2	243	0.34	56.8	421	0.39	75.9	870	0.47	111.1
130	145	0.31	46.3	254	0.35	62.2	441	0.41	83.2	910	0.50	121.8
140	151	0.32	50.3	265	0.37	67.7	460	0.43	90.5	950	0.52	132.6
150	157	0.33	54.5	276	0.38	73.3	479	0.44	97.9	988	0.54	143.4
160	163	0.34	58.6	286	0.40	78.9	497	0.46	105.4	1025	0.56	154.4
170	169	0.36	62.9	296	0.41	84.6	514	0.48	113.0	1061	0.58	165.5
180	174	0.37	67.1	306	0.43	90.3	531	0.49	120.6	1096	0.60	176.7
190	180	0.38	71.4	316	0.44	96.0	548	0.51	128.3	1131	0.62	187.9
200	185	0.39	75.7	325	0.45	101.8	564	0.52	136.1	1165	0.63	199.3
220	195	0.41	84.4	343	0.48	113.5	596	0.55	151.7	1230	0.67	222.2
240	205	0.43	93.2	361	0.50	125.4	626	0.58	167.6	1292	0.70	245.4
260	215	0.45	102.2	378	0.53	137.4	655	0.61	183.6	1353	0.74	268.9
280	224	0.47	111.2	394	0.55	149.6	684	0.63	199.9	1411	0.77	292.7
300	233	0.49	120.3	410	0.57	161.8	711	0.66	216.3	1468	0.80	316.7
350	255	0.54	143.5	448	0.62	193.0	777	0.72	257.9	1603	0.87	377.7
400	275	0.58	167.1	483	0.67	224.8	838	0.78	300.5	1730	0.94	440.0
450	294	0.62	191.2	517	0.72	257.2	897	0.83	343.8	1851	1.01	503.4
500	312	0.66	215.7	549	0.76	290.2	952	0.88	387.7	1966	1.07	567.8
550	330	0.70	240.5	580	0.81	323.5	1005	0.93	432.4	2076	1.13	633.2
600	347	0.73	265.6	609	0.85	357.4	1057	0.98	477.6	2182	1.19	699.4
650	363	0.77	291.1	638	0.89	391.6	1106	1.03	523.3	2284	1.24	766.4
700	379	0.80	316.8	665	0.93	426.2	1154	1.07	569.6	2383	1.30	834.1
750	394	0.83	342.8	692	0.96	461.2	1200	1.11	616.3	2478	1.35	902.6
800	409	0.86	369.1	718	1.00	496.5	1246	1.16	663.5	2571	1.40	971.7
850	423	0.89	395.5	743	1.04	532.1	1289	1.20	711.1	2662	1.45	1041.4
900	437	0.92	422.2	768	1.07	568.0	1332	1.24	759.1	2750	1.50	1111.7
950	451	0.95	449.1	792	1.10	604.2	1374	1.28	807.4	2837	1.54	1182.5
1000	464	0.98	476.3	816	1.14	640.7	1415	1.31	856.2	2921	1.59	1253.9
1100	490	1.03	531.1	861	1.20	714.4	1494	1.39	954.7	3085	1.68	1398.2
1200	515	1.09	586.6	905	1.26	789.1	1570	1.46	1054.5	3242	1.76	1544.4
1300	539	1.14	642.8	948	1.32	864.7	1644	1.53	1155.6	3394	1.85	1692.3
1400	563	1.19	699.6	989	1.38	941.2	1715	1.59	1257.7	3540	1.93	1841.9
1500	585	1.24	757.0	1028	1.43	1018.4	1784	1.66	1360.9	3683	2.00	1993.0
1600	607	1.28	814.9	1067	1.49	1096.3	1851	1.72	1465.1	3821	2.08	2145.6
1700	629	1.33	873.4	1105	1.54	1175.0	1916	1.78	1570.2	3956	2.15	2299.5
1800	650	1.37	932.4	1141	1.59	1254.3	1980	1.84	1676.2	4087	2.22	2454.7
1900	670	1.41	991.8	1177	1.64	1334.3	2042	1.90	1783.0	4215	2.29	2611.2
2000	690	1.46	1051.7	1212	1.69	1414.8	2103	1.95	1890.6	4341	2.36	2768.8
2100	709	1.50	1112.0	1246	1.74	1495.9	2162	2.01	1999.1	4464	2.43	2927.6
2200	728	1.54	1172.7	1280	1.78	1577.6	2220	2.06	2108.2	4584	2.49	3087.5
2300	747	1.58	1233.8	1313	1.83	1659.8	2277	2.11	2218.1	4702	2.56	3248.4
2400	766	1.62	1295.3	1345	1.87	1742.6	2333	2.17	2328.6	4817	2.62	3410.3
2500	784	1.65	1357.2	1377	1.92	1825.8	2389	2.22	2439.8	4931	2.68	3573.2

Tabella di perdita di pressione dei tubi 1.4520 Optipress con medio acqua 40 °C, d_e 15 … 28 mm

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	35			42			54			64
d_i	32			39			51			61
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	650	0.23	25.5	1113	0.26	33.8	2304	0.32	49.5	3746	0.36	64.0
30	722	0.25	31.4	1235	0.29	41.6	2557	0.35	61.0	4158	0.40	78.8
35	788	0.27	37.4	1348	0.32	49.6	2793	0.38	72.8	4541	0.44	94.0
40	851	0.30	43.6	1455	0.34	57.8	3014	0.41	84.8	4901	0.47	109.5
45	910	0.32	49.8	1557	0.37	66.1	3224	0.44	97.0	5242	0.50	125.3
50	966	0.34	56.2	1653	0.39	74.6	3424	0.47	109.4	5567	0.53	141.3
55	1020	0.36	62.7	1746	0.41	83.1	3616	0.50	122.0	5879	0.56	157.5
60	1073	0.37	69.2	1835	0.43	91.8	3800	0.52	134.7	6179	0.59	174.0
65	1123	0.39	75.9	1921	0.45	100.6	3978	0.55	147.6	6468	0.62	190.7
70	1171	0.41	82.6	2004	0.47	109.5	4150	0.57	160.7	6747	0.65	207.5
75	1218	0.42	89.3	2084	0.49	118.5	4317	0.59	173.9	7019	0.67	224.6
80	1264	0.44	96.2	2163	0.51	127.6	4479	0.61	187.2	7282	0.70	241.7
85	1309	0.46	103.1	2239	0.53	136.7	4637	0.64	200.6	7539	0.72	259.1
90	1352	0.47	110.0	2313	0.54	146.0	4791	0.66	214.2	7789	0.75	276.6
95	1395	0.49	117.1	2386	0.56	155.3	4942	0.68	227.8	8034	0.77	294.2
100	1436	0.50	124.1	2457	0.58	164.7	5089	0.70	241.6	8273	0.79	312.0
110	1516	0.53	138.4	2594	0.61	183.6	5373	0.74	269.4	8736	0.84	347.9
120	1594	0.56	152.9	2727	0.64	202.8	5647	0.77	297.5	9181	0.88	384.2
130	1668	0.58	167.5	2854	0.67	222.2	5912	0.81	326.0	9611	0.92	421.0
140	1740	0.61	182.3	2978	0.70	241.9	6167	0.85	354.8	10027	0.96	458.3
150	1810	0.63	197.3	3097	0.73	261.7	6415	0.88	383.9	10430	1.00	495.9
160	1878	0.65	212.4	3214	0.75	281.8	6656	0.91	413.3	10822	1.04	533.8
170	1945	0.68	227.6	3327	0.78	302.0	6891	0.95	443.0	11203	1.07	572.1
180	2009	0.70	243.0	3437	0.81	322.3	7120	0.98	472.9	11575	1.11	610.7
190	2072	0.72	258.5	3545	0.83	342.9	7343	1.01	503.0	11938	1.14	649.7
200	2134	0.74	274.1	3651	0.86	363.6	7562	1.04	533.4	12293	1.18	688.9
220	2253	0.78	305.6	3855	0.90	405.4	7985	1.10	594.8	12982	1.24	768.2
240	2368	0.82	337.6	4052	0.95	447.8	8392	1.15	657.0	13643	1.31	848.5
260	2479	0.86	369.9	4241	0.99	490.7	8785	1.20	719.9	14282	1.37	929.7
280	2586	0.90	402.6	4425	1.04	534.1	9165	1.26	783.5	14900	1.43	1011.9
300	2690	0.94	435.6	4603	1.08	577.9	9533	1.31	847.8	15499	1.49	1094.9
350	2938	1.02	519.6	5026	1.18	689.3	10411	1.43	1011.1	16926	1.62	1305.9
400	3171	1.10	605.2	5425	1.27	802.9	11236	1.54	1177.9	18268	1.75	1521.2
450	3392	1.18	692.4	5803	1.36	918.6	12019	1.65	1347.6	19540	1.87	1740.3
500	3602	1.25	781.0	6163	1.45	1036.1	12765	1.75	1520.0	20752	1.99	1963.0
550	3804	1.33	870.9	6508	1.53	1155.4	13479	1.85	1694.9	21914	2.10	2189.0
600	3998	1.39	962.0	6839	1.60	1276.1	14166	1.94	1872.1	23031	2.21	2417.8
650	4185	1.46	1054.1	7160	1.68	1398.4	14829	2.03	2051.5	24109	2.31	2649.4
700	4366	1.52	1147.3	7469	1.75	1522.0	15471	2.12	2232.8	25152	2.41	2883.6
750	4542	1.58	1241.4	7770	1.82	1646.9	16093	2.21	2416.0	26163	2.51	3120.2
800	4712	1.64	1336.5	8062	1.89	1772.9	16697	2.29	2600.9	27146	2.60	3359.0
850	4878	1.70	1432.3	8346	1.96	1900.1	17286	2.37	2787.5	28103	2.69	3600.0
900	5040	1.76	1529.0	8623	2.02	2028.4	17860	2.45	2975.7	29036	2.78	3843.0
950	5198	1.81	1626.5	8893	2.09	2157.7	18420	2.53	3165.3	29947	2.87	4088.0
1000	5353	1.86	1724.7	9158	2.15	2287.9	18968	2.60	3356.4	30838	2.96	4334.8
1100	5653	1.97	1923.2	9670	2.27	2551.2	20030	2.75	3742.7	32564	3.12	4833.6
1200	5941	2.07	2124.2	10163	2.38	2818.0	21051	2.89	4134.0	34224	3.28	5339.0
1300	6219	2.17	2327.7	10639	2.50	3087.9	22036	3.02	4530.0	35826	3.43	5850.4
1400	6488	2.26	2533.4	11099	2.60	3360.8	22989	3.15	4930.4	37375	3.58	6367.5
1500	6749	2.35	2741.3	11546	2.71	3636.6	23914	3.28	5334.9	38878	3.73	6889.9
1600	7002	2.44	2951.1	11979	2.81	3914.9	24812	3.40	5743.3	40339	3.87	7417.3
1700	7249	2.53	3162.8	12402	2.91	4195.8	25687	3.52	6155.3	41761	4.00	7949.4
1800	7490	2.61	3376.4	12813	3.01	4479.0	26540	3.64	6570.8	43147	4.14	8486.0
1900	7725	2.69	3591.6	13215	3.10	4764.5	27372	3.75	6989.6	44501	4.27	9026.9
2000	7955	2.77	3808.4	13609	3.19	5052.2	28186	3.87	7411.6	45825	4.39	9571.9
2100	8179	2.85	4026.8	13993	3.28	5341.9	28983	3.97	7836.6	47121	4.52	10120.8
2200	8400	2.93	4246.7	14370	3.37	5633.6	29764	4.08	8264.6	48390	4.64	10673.4
2300	8616	3.00	4468.0	14740	3.46	5927.2	30530	4.19	8695.3	49635	4.76	11229.7
2400	8828	3.08	4690.7	15103	3.54	6222.6	31281	4.29	9128.6	50857	4.88	11789.4
2500	9036	3.15	4914.7	15459	3.63	6519.8	32020	4.39	9564.6	52057	4.99	12352.5

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 40 °C, d_e 35 … 64 mm

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	76.1			88.9			108
d_i	73.1			85.9			105
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	6123	0.41	82.9	9487	0.46	104.3	16361	0.53	139.0
30	6795	0.45	102.0	10529	0.51	128.5	18158	0.59	171.2
35	7420	0.50	121.7	11498	0.56	153.3	19830	0.64	204.2
40	8009	0.53	141.8	12410	0.60	178.5	21402	0.69	237.8
45	8566	0.57	162.2	13274	0.64	204.2	22892	0.74	272.1
50	9098	0.61	183.0	14098	0.68	230.4	24312	0.79	306.9
55	9607	0.64	204.0	14887	0.72	256.9	25673	0.83	342.2
60	10097	0.67	225.3	15646	0.76	283.8	26982	0.87	378.0
65	10570	0.71	246.9	16378	0.79	310.9	28245	0.91	414.2
70	11027	0.74	268.7	17087	0.83	338.4	29467	0.95	450.8
75	11470	0.77	290.8	17774	0.86	366.2	30652	0.99	487.8
80	11901	0.79	313.1	18441	0.89	394.2	31803	1.03	525.2
85	12321	0.82	335.5	19091	0.92	422.5	32924	1.07	562.8
90	12730	0.85	358.2	19725	0.95	451.0	34017	1.10	600.8
95	13129	0.88	381.0	20344	0.98	479.8	35085	1.14	639.1
100	13520	0.90	404.0	20949	1.01	508.7	36128	1.17	677.7
110	14276	0.95	450.5	22122	1.07	567.3	38150	1.23	755.7
120	15004	1.00	497.6	23250	1.12	626.6	40095	1.30	834.7
130	15706	1.05	545.3	24338	1.18	686.6	41972	1.36	914.7
140	16386	1.09	593.4	25391	1.23	747.3	43787	1.42	995.5
150	17045	1.14	642.1	26412	1.28	808.6	45548	1.47	1077.2
160	17685	1.18	691.3	27404	1.32	870.5	47259	1.53	1159.7
170	18308	1.22	740.9	28370	1.37	932.9	48925	1.58	1242.9
180	18916	1.26	790.9	29312	1.42	995.9	50549	1.64	1326.8
190	19510	1.30	841.3	30231	1.46	1059.4	52136	1.69	1411.3
200	20090	1.34	892.1	31131	1.50	1123.4	53686	1.74	1496.5
220	21215	1.42	994.8	32873	1.59	1252.6	56691	1.83	1668.7
240	22296	1.49	1098.8	34549	1.67	1383.6	59581	1.93	1843.2
260	23340	1.56	1204.0	36166	1.75	1516.1	62370	2.02	2019.8
280	24349	1.63	1310.4	37730	1.82	1650.1	65068	2.11	2198.3
300	25328	1.69	1417.9	39247	1.90	1785.5	67684	2.19	2378.7
350	27661	1.85	1691.1	42861	2.07	2129.5	73917	2.39	2836.9
400	29854	1.99	1969.9	46260	2.24	2480.6	79778	2.58	3304.6
450	31932	2.13	2253.7	49481	2.39	2838.0	85332	2.76	3780.8
500	33914	2.26	2542.1	52551	2.54	3201.2	90627	2.93	4264.5
550	35812	2.39	2834.7	55493	2.68	3569.5	95700	3.10	4755.3
600	37638	2.51	3131.1	58322	2.82	3942.8	100578	3.25	5252.5
650	39399	2.63	3431.0	61051	2.95	4320.4	105285	3.41	5755.6
700	41103	2.74	3734.2	63692	3.08	4702.3	109840	3.55	6264.3
750	42756	2.85	4040.6	66253	3.20	5088.1	114257	3.70	6778.3
800	44363	2.96	4349.9	68742	3.32	5477.6	118549	3.84	7297.1
850	45926	3.07	4662.0	71165	3.44	5870.5	122728	3.97	7820.6
900	47451	3.17	4976.7	73528	3.55	6266.8	126802	4.10	8348.6
950	48940	3.27	5293.9	75835	3.67	6666.3	130781	4.23	8880.7
1000	50396	3.36	5613.5	78091	3.78	7068.7	134671	4.36	9416.9
1100	53217	3.55	6259.5	82462	3.99	7882.2	142209	4.60	10500.6
1200	55929	3.73	6913.9	86665	4.19	8706.3	149459	4.84	11598.4
1300	58547	3.91	7576.2	90721	4.39	9540.3	156454	5.06	12709.5
1400	61080	4.08	8245.9	94646	4.58	10383.5	163221	5.28	13832.8
1500	63536	4.24	8922.4	98452	4.76	11235.4	169785	5.49	14967.7
1600	65923	4.40	9605.3	102150	4.94	12095.4	176163	5.70	16113.4
1700	68246	4.56	10294.4	105751	5.11	12963.2	182373	5.90	17269.4
1800	70512	4.71	10989.4	109262	5.28	13838.2	188428	6.10	18435.2
1900	72725	4.85	11689.8	112691	5.45	14720.3	194340	6.29	19610.2
2000	74888	5.00	12395.6	116042	5.61	15609.0	200121	6.47	20794.1
2100	77005	5.14	13106.4	119323	5.77	16504.1	205779	6.66	21986.6
2200	79080	5.28	13822.1	122538	5.92	17405.3	211322	6.84	23187.1
2300	81114	5.41	14542.4	125690	6.08	18312.3	216759	7.01	24395.5
2400	83111	5.55	15267.2	128784	6.23	19225.1	222095	7.19	25611.4
2500	85072	5.68	15996.4	131824	6.37	20143.2	227337	7.36	26834.6

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 40 °C, d_e 76.1 … 108 mm

4.5.3 Medio: acqua a 60 °C

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	15			18			22			28
d_i	13			16			19.6			25.6
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	59	0.13	7.7	103	0.15	10.4	179	0.17	13.9	370	0.20	20.3
30	65	0.14	9.5	115	0.16	12.8	199	0.19	17.1	411	0.23	25.1
35	71	0.15	11.4	125	0.18	15.3	217	0.20	20.4	449	0.25	29.9
40	77	0.16	13.2	135	0.19	17.8	235	0.22	23.8	485	0.27	34.8
45	82	0.18	15.1	145	0.20	20.4	251	0.24	27.2	518	0.28	39.8
50	87	0.19	17.1	154	0.22	23.0	267	0.25	30.7	550	0.30	44.9
55	92	0.20	19.0	162	0.23	25.6	282	0.26	34.2	581	0.32	50.1
60	97	0.21	21.0	171	0.24	28.3	296	0.28	37.8	611	0.34	55.3
65	102	0.22	23.0	179	0.25	31.0	310	0.29	41.4	639	0.35	60.6
70	106	0.23	25.1	186	0.26	33.7	323	0.30	45.1	667	0.37	66.0
75	110	0.23	27.1	194	0.27	36.5	336	0.31	48.8	694	0.38	71.4
80	114	0.24	29.2	201	0.28	39.3	349	0.33	52.5	720	0.40	76.9
85	118	0.25	31.3	208	0.29	42.1	361	0.34	56.3	745	0.41	82.4
90	122	0.26	33.4	215	0.30	44.9	373	0.35	60.1	770	0.42	88.0
95	126	0.27	35.5	222	0.31	47.8	385	0.36	63.9	794	0.44	93.6
100	130	0.28	37.7	228	0.32	50.7	396	0.37	67.7	818	0.45	99.2
110	137	0.29	42.0	241	0.34	56.5	418	0.39	75.5	864	0.47	110.6
120	144	0.31	46.4	253	0.36	62.4	440	0.41	83.4	908	0.50	122.2
130	151	0.32	50.9	265	0.37	68.4	460	0.43	91.4	950	0.52	133.9
140	158	0.34	55.4	277	0.39	74.5	480	0.45	99.5	991	0.54	145.7
150	164	0.35	59.9	288	0.40	80.6	500	0.47	107.7	1031	0.57	157.7
160	170	0.36	64.5	299	0.42	86.8	518	0.49	115.9	1070	0.59	169.8
170	176	0.37	69.1	309	0.43	93.0	537	0.50	124.2	1108	0.61	182.0
180	182	0.39	73.8	320	0.45	99.3	554	0.52	132.6	1144	0.63	194.2
190	188	0.40	78.5	330	0.46	105.6	572	0.54	141.1	1180	0.65	206.6
200	193	0.41	83.2	339	0.48	112.0	589	0.55	149.6	1216	0.67	219.1
220	204	0.43	92.8	358	0.50	124.8	622	0.58	166.8	1284	0.71	244.3
240	214	0.46	102.5	377	0.53	137.9	653	0.61	184.3	1349	0.74	269.8
260	224	0.48	112.3	394	0.55	151.1	684	0.64	201.9	1412	0.78	295.7
280	234	0.50	122.2	411	0.58	164.4	714	0.67	219.8	1473	0.81	321.8
300	244	0.52	132.3	428	0.60	177.9	742	0.70	237.8	1532	0.84	348.2
350	266	0.57	157.7	467	0.66	212.2	811	0.76	283.6	1674	0.92	415.3
400	287	0.61	183.8	504	0.71	247.2	875	0.82	330.3	1806	0.99	483.8
450	307	0.65	210.2	539	0.76	282.8	936	0.88	377.9	1932	1.06	553.5
500	326	0.69	237.1	573	0.81	319.0	994	0.93	426.3	2052	1.13	624.3
550	344	0.73	264.4	605	0.85	355.7	1050	0.98	475.4	2167	1.19	696.2
600	362	0.77	292.1	636	0.89	392.9	1103	1.03	525.1	2277	1.25	769.0
650	379	0.81	320.0	666	0.94	430.6	1155	1.08	575.4	2384	1.31	842.6
700	395	0.84	348.3	694	0.98	468.6	1205	1.13	626.2	2487	1.37	917.1
750	411	0.88	376.9	722	1.02	507.1	1253	1.17	677.6	2587	1.42	992.3
800	427	0.91	405.8	749	1.05	545.9	1300	1.22	729.5	2684	1.47	1068.3
850	442	0.94	434.9	776	1.09	585.0	1346	1.26	781.8	2779	1.53	1144.9
900	456	0.97	464.2	802	1.13	624.5	1391	1.30	834.6	2871	1.58	1222.2
950	471	1.00	493.8	827	1.16	664.3	1434	1.34	887.8	2961	1.63	1300.1
1000	485	1.03	523.6	851	1.20	704.5	1477	1.38	941.4	3049	1.67	1378.6
1100	512	1.09	583.9	899	1.26	785.5	1560	1.46	1049.7	3220	1.77	1537.3
1200	538	1.15	644.9	945	1.33	867.6	1639	1.54	1159.4	3384	1.86	1698.0
1300	563	1.20	706.7	989	1.39	950.8	1716	1.61	1270.5	3542	1.95	1860.7
1400	587	1.25	769.2	1032	1.45	1034.8	1790	1.68	1382.8	3695	2.03	2025.1
1500	611	1.30	832.3	1073	1.51	1119.7	1862	1.74	1496.3	3844	2.11	2191.3
1600	634	1.35	896.0	1114	1.57	1205.4	1932	1.81	1610.8	3988	2.19	2359.0
1700	656	1.40	960.3	1153	1.62	1291.9	2000	1.87	1726.4	4129	2.27	2528.3
1800	678	1.44	1025.1	1191	1.68	1379.1	2066	1.94	1842.9	4266	2.34	2698.9
1900	699	1.49	1090.4	1229	1.73	1467.0	2131	2.00	1960.4	4400	2.42	2871.0
2000	720	1.53	1156.3	1265	1.78	1555.6	2195	2.06	2078.7	4531	2.49	3044.3
2100	740	1.58	1222.6	1301	1.83	1644.8	2257	2.11	2197.9	4659	2.56	3218.9
2200	760	1.62	1289.3	1336	1.88	1734.6	2318	2.17	2317.9	4785	2.63	3394.6
2300	780	1.66	1356.5	1370	1.93	1825.0	2377	2.23	2438.7	4908	2.70	3571.5
2400	799	1.70	1424.1	1404	1.97	1915.9	2436	2.28	2560.3	5028	2.76	3749.5
2500	818	1.74	1492.2	1437	2.02	2007.4	2493	2.34	2682.5	5147	2.83	3928.6

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 60 °C, d_e 15 … 28 mm

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	35			42			54			64
d_i	32			39			51			61
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	679	0.24	28.0	1161	0.27	37.1	2405	0.33	54.5	3911	0.38	70.3
30	753	0.26	34.5	1289	0.31	45.7	2669	0.37	67.1	4340	0.42	86.6
35	823	0.29	41.1	1407	0.33	54.5	2915	0.40	80.0	4740	0.46	103.3
40	888	0.31	47.9	1519	0.36	63.5	3146	0.44	93.2	5115	0.49	120.4
45	950	0.33	54.8	1625	0.38	72.7	3365	0.47	106.6	5471	0.53	137.7
50	1009	0.35	61.8	1726	0.41	82.0	3574	0.49	120.3	5811	0.56	155.3
55	1065	0.37	68.9	1822	0.43	91.4	3774	0.52	134.1	6136	0.59	173.2
60	1119	0.39	76.1	1915	0.45	101.0	3967	0.55	148.1	6449	0.62	191.3
65	1172	0.41	83.4	2005	0.47	110.7	4152	0.57	162.3	6751	0.65	209.6
70	1223	0.43	90.8	2092	0.50	120.4	4332	0.60	176.7	7043	0.68	228.2
75	1272	0.45	98.2	2176	0.51	130.3	4506	0.62	191.2	7326	0.71	246.9
80	1319	0.46	105.8	2257	0.53	140.3	4676	0.65	205.8	7601	0.74	265.8
85	1366	0.48	113.3	2337	0.55	150.4	4840	0.67	220.6	7869	0.76	284.9
90	1411	0.50	121.0	2415	0.57	160.5	5001	0.69	235.5	8131	0.79	304.1
95	1456	0.51	128.7	2490	0.59	170.7	5158	0.71	250.5	8386	0.81	323.5
100	1499	0.53	136.5	2564	0.61	181.0	5311	0.74	265.6	8635	0.84	343.0
110	1583	0.56	152.2	2708	0.64	201.9	5609	0.78	296.2	9118	0.88	382.5
120	1664	0.58	168.1	2846	0.67	223.0	5895	0.82	327.1	9583	0.93	422.5
130	1741	0.61	184.2	2979	0.71	244.3	6170	0.85	358.5	10032	0.97	462.9
140	1817	0.64	200.5	3108	0.74	265.9	6437	0.89	390.1	10466	1.01	503.8
150	1890	0.66	216.9	3233	0.77	287.8	6696	0.93	422.1	10887	1.05	545.2
160	1961	0.69	233.5	3354	0.79	309.8	6948	0.96	454.5	11296	1.09	586.9
170	2030	0.71	250.3	3473	0.82	332.0	7193	1.00	487.1	11694	1.13	629.0
180	2097	0.74	267.2	3588	0.85	354.4	7432	1.03	519.9	12082	1.17	671.5
190	2163	0.76	284.2	3701	0.88	377.0	7665	1.06	553.1	12461	1.21	714.3
200	2227	0.78	301.3	3811	0.90	399.8	7893	1.09	586.5	12832	1.24	757.4
220	2352	0.83	336.0	4024	0.95	445.8	8334	1.15	654.0	13550	1.31	844.6
240	2472	0.87	371.2	4229	1.00	492.4	8759	1.21	722.3	14241	1.38	932.9
260	2588	0.91	406.7	4427	1.05	539.5	9169	1.27	791.5	14907	1.44	1022.2
280	2700	0.95	442.7	4618	1.09	587.2	9566	1.32	861.5	15552	1.50	1112.6
300	2808	0.99	479.0	4804	1.14	635.4	9951	1.38	932.2	16177	1.57	1203.9
350	3067	1.08	571.3	5247	1.24	757.8	10867	1.50	1111.7	17667	1.71	1435.8
400	3310	1.16	665.4	5663	1.34	882.8	11728	1.62	1295.0	19068	1.84	1672.5
450	3540	1.24	761.3	6057	1.43	1009.9	12545	1.74	1481.6	20395	1.97	1913.5
500	3760	1.32	858.7	6433	1.52	1139.2	13324	1.84	1671.2	21661	2.10	2158.3
550	3971	1.40	957.6	6793	1.61	1270.3	14069	1.95	1863.5	22874	2.21	2406.7
600	4173	1.47	1057.7	7139	1.69	1403.1	14787	2.05	2058.4	24040	2.33	2658.3
650	4368	1.54	1159.0	7473	1.77	1537.5	15479	2.14	2255.5	25165	2.43	2913.0
700	4557	1.60	1261.4	7796	1.85	1673.4	16148	2.23	2454.9	26253	2.54	3170.4
750	4740	1.67	1364.9	8110	1.92	1810.7	16797	2.32	2656.3	27309	2.64	3430.5
800	4919	1.73	1469.4	8415	1.99	1949.3	17428	2.41	2859.6	28335	2.74	3693.1
850	5092	1.79	1574.8	8711	2.06	2089.1	18043	2.50	3064.8	29334	2.84	3958.1
900	5261	1.85	1681.1	9000	2.13	2230.1	18642	2.58	3271.7	30308	2.93	4225.3
950	5426	1.91	1788.3	9283	2.20	2372.3	19227	2.66	3480.2	31259	3.02	4494.6
1000	5587	1.96	1896.2	9559	2.26	2515.5	19799	2.74	3690.3	32188	3.11	4766.0
1100	5900	2.07	2114.5	10094	2.39	2805.0	20907	2.89	4115.0	33990	3.29	5314.4
1200	6201	2.18	2335.5	10608	2.51	3098.3	21973	3.04	4545.2	35723	3.46	5870.1
1300	6491	2.28	2559.3	11105	2.63	3395.1	23001	3.18	4980.6	37395	3.62	6432.4
1400	6772	2.38	2785.5	11585	2.74	3695.1	23996	3.32	5420.9	39012	3.77	7000.9
1500	7044	2.48	3014.0	12051	2.85	3998.3	24961	3.45	5865.6	40581	3.93	7575.3
1600	7309	2.57	3244.7	12504	2.96	4304.4	25899	3.58	6314.6	42105	4.07	8155.1
1700	7567	2.66	3477.5	12945	3.06	4613.2	26812	3.71	6767.6	43590	4.22	8740.2
1800	7818	2.75	3712.2	13374	3.17	4924.6	27702	3.83	7224.4	45037	4.36	9330.2
1900	8063	2.83	3948.8	13794	3.26	5238.5	28571	3.95	7684.9	46450	4.49	9924.9
2000	8303	2.92	4187.2	14204	3.36	5554.7	29421	4.07	8148.9	47832	4.63	10524.1
2100	8538	3.00	4427.3	14606	3.46	5873.3	30253	4.19	8616.2	49184	4.76	11127.6
2200	8768	3.08	4669.1	15000	3.55	6194.0	31068	4.30	9086.7	50509	4.89	11735.2
2300	8993	3.16	4912.4	15385	3.64	6516.8	31867	4.41	9560.2	51808	5.01	12346.8
2400	9215	3.24	5157.3	15764	3.73	6841.6	32651	4.52	10036.7	53084	5.14	12962.2
2500	9432	3.32	5403.6	16136	3.82	7168.3	33422	4.63	10516.1	54337	5.26	13581.2

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 60 °C, d_e 35 … 64 mm

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	76.1			88.9			108
d_i	73.1			85.9			105
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	6391	0.43	91.1	9903	0.48	114.7	17078	0.56	152.8
30	7092	0.48	112.2	10990	0.54	141.3	18953	0.62	188.2
35	7745	0.52	133.8	12002	0.59	168.5	20698	0.68	224.5
40	8360	0.56	155.9	12954	0.63	196.3	22339	0.73	261.5
45	8942	0.60	178.3	13855	0.68	224.6	23894	0.78	299.2
50	9496	0.64	201.2	14715	0.72	253.3	25377	0.83	337.4
55	10028	0.68	224.3	15539	0.76	282.4	26798	0.87	376.3
60	10539	0.71	247.8	16331	0.80	312.0	28164	0.92	415.6
65	11032	0.74	271.5	17095	0.83	341.9	29482	0.96	455.4
70	11510	0.78	295.5	17835	0.87	372.1	30757	1.00	495.7
75	11973	0.81	319.7	18552	0.91	402.6	31994	1.04	536.3
80	12422	0.84	344.2	19249	0.94	433.4	33196	1.08	577.4
85	12860	0.87	368.9	19927	0.97	464.5	34366	1.12	618.8
90	13287	0.90	393.8	20589	1.00	495.9	35507	1.16	660.6
95	13704	0.92	418.9	21235	1.04	527.5	36621	1.20	702.7
100	14112	0.95	444.2	21867	1.07	559.3	37710	1.23	745.1
110	14902	1.00	495.3	23091	1.13	623.7	39821	1.30	830.9
120	15661	1.06	547.1	24268	1.18	688.9	41851	1.37	917.8
130	16394	1.10	599.5	25404	1.24	754.9	43810	1.43	1005.7
140	17103	1.15	652.5	26502	1.29	821.6	45705	1.49	1094.6
150	17791	1.20	706.0	27568	1.34	889.0	47543	1.55	1184.4
160	18459	1.24	760.0	28604	1.40	957.1	49329	1.61	1275.0
170	19110	1.29	814.6	29612	1.44	1025.7	51068	1.67	1366.5
180	19745	1.33	869.6	30595	1.49	1095.0	52763	1.72	1458.7
190	20364	1.37	925.0	31555	1.54	1164.8	54419	1.78	1551.7
200	20970	1.41	980.8	32494	1.59	1235.1	56037	1.83	1645.4
220	22144	1.49	1093.7	34313	1.67	1377.2	59174	1.93	1834.7
240	23272	1.57	1208.1	36062	1.76	1521.2	62190	2.03	2026.6
260	24362	1.64	1323.8	37750	1.84	1667.0	65101	2.13	2220.7
280	25415	1.71	1440.8	39383	1.92	1814.3	67917	2.22	2417.0
300	26437	1.78	1559.0	40966	2.00	1963.1	70648	2.31	2615.3
350	28872	1.94	1859.3	44738	2.18	2341.3	77154	2.52	3119.1
400	31161	2.10	2165.9	48286	2.36	2727.3	83271	2.72	3633.3
450	33331	2.25	2477.9	51647	2.52	3120.3	89069	2.91	4156.8
500	35399	2.38	2795.0	54852	2.68	3519.6	94596	3.09	4688.8
550	37380	2.52	3116.7	57923	2.83	3924.6	99891	3.26	5228.3
600	39286	2.65	3442.5	60876	2.97	4335.0	104983	3.43	5775.0
650	41125	2.77	3772.3	63725	3.11	4750.2	109896	3.59	6328.2
700	42903	2.89	4105.7	66481	3.24	5170.1	114650	3.74	6887.5
750	44629	3.01	4442.5	69154	3.37	5594.2	119260	3.89	7452.6
800	46305	3.12	4782.6	71752	3.50	6022.4	123740	4.04	8023.0
850	47938	3.23	5125.7	74282	3.62	6454.5	128102	4.18	8598.6
900	49529	3.34	5471.7	76748	3.74	6890.2	132355	4.32	9179.1
950	51083	3.44	5820.5	79156	3.86	7329.4	136508	4.46	9764.1
1000	52603	3.54	6171.9	81510	3.98	7771.9	140569	4.59	10353.6
1100	55547	3.74	6882.1	86073	4.20	8666.3	148437	4.85	11545.1
1200	58379	3.93	7601.7	90461	4.41	9572.4	156004	5.09	12752.2
1300	61111	4.12	8329.9	94694	4.62	10489.3	163305	5.33	13973.8
1400	63754	4.29	9066.1	98790	4.82	11416.4	170369	5.56	15208.8
1500	66318	4.47	9809.9	102763	5.01	12353.0	177220	5.79	16456.6
1600	68809	4.64	10560.8	106624	5.20	13298.6	183877	6.00	17716.3
1700	71235	4.80	11318.5	110382	5.39	14252.7	190359	6.22	18987.3
1800	73600	4.96	12082.5	114047	5.56	15214.8	196679	6.42	20269.0
1900	75909	5.11	12852.7	117625	5.74	16184.6	202851	6.62	21560.9
2000	78167	5.27	13628.6	121124	5.91	17161.7	208884	6.82	22862.6
2100	80377	5.41	14410.2	124549	6.08	18145.8	214790	7.01	24173.7
2200	82543	5.56	15197.0	127904	6.24	19136.7	220576	7.20	25493.7
2300	84666	5.70	15989.0	131194	6.40	20134.0	226251	7.39	26822.3
2400	86750	5.84	16785.9	134424	6.56	21137.5	231821	7.57	28159.1
2500	88798	5.98	17587.6	137597	6.71	22147.0	237292	7.75	29504.0

Tabella di perdita di pressione dei tubi Optipress 1.4520 con medio acqua 60 °C, d_e 76.1 … 108 mm

4.6 Tabelle di perdita di pressione Optiflex-Flowpress

Esempio di lettura: Per acqua a +7 °C con dimensione dei tubi 20 e perdita di pressione R = 50 Pa/m, dalla tabella si ricavano:

Portata di massa dell’acqua ṁ: 101 kg/h
Velocità di flusso dell’acqua v: 0.17 m/s
Pressione dinamica P_din 14.8 Pa

4.6.1 Medio: acqua a 7 °C

Densità:	999.9 kg/m³
Viscosità:	0.0014 Pa·s
Rugosità superficiale:	0.007 mm

d_e	16			20			25			32
d_i	11.6			14			19.7			25.5
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	38	0.10	4.9	68	0.12	6.7	159	0.14	10.5	323	0.17	15.2
30	42	0.11	6.0	75	0.13	8.2	176	0.16	12.9	358	0.19	18.7
35	46	0.12	7.2	82	0.14	9.8	192	0.18	15.4	391	0.21	22.3
40	49	0.13	8.4	89	0.15	11.4	207	0.19	17.9	422	0.23	26.0
45	53	0.14	9.6	95	0.16	13.1	222	0.20	20.5	452	0.24	29.8
50	56	0.15	10.8	101	0.17	14.8	236	0.21	23.1	480	0.26	33.6
55	59	0.16	12.1	106	0.18	16.5	249	0.23	25.7	507	0.27	37.4
60	62	0.16	13.3	112	0.19	18.2	262	0.24	28.4	533	0.29	41.3
65	65	0.17	14.6	117	0.20	19.9	274	0.25	31.2	557	0.30	45.3
70	68	0.18	15.9	122	0.21	21.7	286	0.26	33.9	582	0.31	49.3
75	71	0.19	17.2	127	0.22	23.4	297	0.27	36.7	605	0.33	53.3
80	73	0.19	18.5	132	0.22	25.2	308	0.28	39.5	628	0.34	57.4
85	76	0.20	19.9	136	0.23	27.1	319	0.29	42.3	650	0.35	61.5
90	78	0.21	21.2	141	0.24	28.9	330	0.30	45.2	671	0.36	65.7
95	81	0.21	22.6	145	0.25	30.7	340	0.31	48.1	692	0.37	69.9
100	83	0.22	23.9	150	0.26	32.6	350	0.32	51.0	713	0.39	74.1
110	88	0.23	26.7	158	0.27	36.3	370	0.34	56.8	753	0.41	82.6
120	92	0.24	29.5	166	0.28	40.1	389	0.35	62.8	791	0.43	91.3
130	97	0.25	32.3	174	0.30	44.0	407	0.37	68.8	828	0.45	100.0
140	101	0.27	35.1	181	0.31	47.9	424	0.39	74.9	864	0.47	108.9
150	105	0.28	38.0	189	0.32	51.8	441	0.40	81.0	899	0.49	117.8
160	109	0.29	40.9	196	0.33	55.7	458	0.42	87.2	933	0.50	126.8
170	113	0.30	43.9	203	0.35	59.7	474	0.43	93.5	966	0.52	135.9
180	116	0.31	46.8	209	0.36	63.8	490	0.45	99.8	998	0.54	145.1
190	120	0.32	49.8	216	0.37	67.8	505	0.46	106.2	1029	0.56	154.3
200	124	0.33	52.8	222	0.38	71.9	520	0.47	112.6	1060	0.57	163.7
220	131	0.34	58.9	235	0.40	80.2	549	0.50	125.5	1119	0.60	182.5
240	137	0.36	65.1	247	0.42	88.6	577	0.53	138.6	1176	0.63	201.6
260	144	0.38	71.3	258	0.44	97.1	605	0.55	151.9	1231	0.66	220.9
280	150	0.39	77.6	269	0.46	105.7	631	0.58	165.3	1284	0.69	240.4
300	156	0.41	84.0	280	0.48	114.3	656	0.60	178.9	1336	0.72	260.1
350	170	0.45	100.1	306	0.52	136.4	716	0.65	213.4	1459	0.79	310.2
400	184	0.48	116.6	330	0.56	158.9	773	0.71	248.6	1574	0.85	361.4
450	196	0.52	133.4	353	0.60	181.7	827	0.75	284.4	1684	0.91	413.4
500	209	0.55	150.5	375	0.64	205.0	878	0.80	320.8	1789	0.97	466.4
550	220	0.58	167.8	396	0.68	228.6	928	0.85	357.7	1889	1.02	520.0
600	232	0.61	185.4	416	0.71	252.5	975	0.89	395.1	1985	1.07	574.4
650	242	0.64	203.2	436	0.74	276.7	1020	0.93	432.9	2078	1.12	629.4
700	253	0.67	221.1	455	0.78	301.1	1065	0.97	471.2	2168	1.17	685.0
750	263	0.69	239.2	473	0.81	325.8	1107	1.01	509.8	2255	1.22	741.2
800	273	0.72	257.6	491	0.84	350.8	1149	1.05	548.9	2340	1.26	798.0
850	283	0.74	276.0	508	0.87	375.9	1190	1.08	588.2	2422	1.31	855.2
900	292	0.77	294.7	525	0.90	401.3	1229	1.12	627.9	2502	1.35	913.0
950	301	0.79	313.5	541	0.92	426.9	1268	1.16	668.0	2581	1.39	971.2
1000	310	0.82	332.4	558	0.95	452.7	1305	1.19	708.3	2658	1.44	1029.8
1100	327	0.86	370.6	589	1.00	504.8	1378	1.26	789.8	2807	1.52	1148.3
1200	344	0.90	409.4	619	1.06	557.5	1449	1.32	872.4	2950	1.59	1268.4
1300	360	0.95	448.6	648	1.11	610.9	1516	1.38	956.0	3088	1.67	1389.9
1400	376	0.99	488.2	676	1.15	664.9	1582	1.44	1040.4	3221	1.74	1512.7
1500	391	1.03	528.3	703	1.20	719.5	1646	1.50	1125.8	3351	1.81	1636.8
1600	406	1.07	568.7	729	1.24	774.6	1707	1.56	1212.0	3477	1.88	1762.1
1700	420	1.10	609.5	755	1.29	830.1	1768	1.61	1298.9	3599	1.94	1888.5
1800	434	1.14	650.7	780	1.33	886.2	1826	1.67	1386.6	3719	2.01	2016.0
1900	447	1.18	692.2	805	1.37	942.7	1884	1.72	1475.0	3835	2.07	2144.5
2000	461	1.21	733.9	829	1.41	999.6	1940	1.77	1564.0	3949	2.13	2274.0
2100	474	1.25	776.0	852	1.45	1056.9	1994	1.82	1653.7	4061	2.19	2404.4
2200	486	1.28	818.4	875	1.49	1114.6	2048	1.87	1744.0	4171	2.25	2535.6
2300	499	1.31	861.1	897	1.53	1172.7	2101	1.92	1834.9	4278	2.31	2667.8
2400	511	1.34	904.0	919	1.57	1231.1	2153	1.96	1926.4	4383	2.37	2800.8
2500	523	1.38	947.2	941	1.61	1289.9	2203	2.01	2018.4	4487	2.42	2934.5

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 7 °C, d_e 16 … 32 mm

Densità:	999.9 kg/m³
Viscosità:	0.0014 Pa·s
Rugosità superficiale:	0.007 mm

d_e	40			50			63
d_i	33			42			54
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	643	0.21	21.8	1238	0.25	30.8	2449	0.30	44.1
30	714	0.23	26.9	1374	0.28	38.0	2717	0.33	54.4
35	780	0.25	32.1	1500	0.30	45.3	2968	0.36	64.8
40	841	0.27	37.4	1619	0.32	52.8	3203	0.39	75.5
45	900	0.29	42.8	1732	0.35	60.4	3426	0.42	86.4
50	956	0.31	48.2	1839	0.37	68.1	3638	0.44	97.5
55	1009	0.33	53.8	1942	0.39	75.9	3842	0.47	108.7
60	1061	0.34	59.4	2041	0.41	83.9	4038	0.49	120.1
65	1110	0.36	65.1	2137	0.43	91.9	4227	0.51	131.6
70	1158	0.38	70.9	2229	0.45	100.0	4410	0.54	143.2
75	1205	0.39	76.7	2319	0.47	108.2	4587	0.56	154.9
80	1250	0.41	82.5	2406	0.48	116.5	4759	0.58	166.8
85	1294	0.42	88.5	2491	0.50	124.8	4927	0.60	178.8
90	1337	0.43	94.4	2574	0.52	133.3	5091	0.62	190.8
95	1379	0.45	100.5	2654	0.53	141.8	5251	0.64	203.0
100	1420	0.46	106.5	2733	0.55	150.3	5407	0.66	215.3
110	1500	0.49	118.8	2886	0.58	167.6	5709	0.69	240.0
120	1576	0.51	131.2	3033	0.61	185.2	6000	0.73	265.1
130	1650	0.54	143.8	3175	0.64	202.9	6281	0.76	290.5
140	1722	0.56	156.5	3313	0.66	220.8	6553	0.80	316.2
150	1791	0.58	169.3	3446	0.69	238.9	6816	0.83	342.1
160	1858	0.60	182.3	3575	0.72	257.2	7073	0.86	368.3
170	1923	0.63	195.3	3701	0.74	275.7	7322	0.89	394.8
180	1987	0.65	208.5	3824	0.77	294.3	7565	0.92	421.4
190	2050	0.67	221.8	3944	0.79	313.1	7802	0.95	448.3
200	2111	0.69	235.2	4062	0.81	332.0	8034	0.98	475.3
220	2229	0.72	262.3	4289	0.86	370.2	8484	1.03	530.0
240	2342	0.76	289.7	4508	0.90	408.9	8917	1.08	585.5
260	2452	0.80	317.5	4719	0.95	448.0	9334	1.13	641.5
280	2558	0.83	345.5	4923	0.99	487.6	9738	1.18	698.2
300	2661	0.86	373.9	5121	1.03	527.6	10129	1.23	755.5
350	2906	0.94	445.9	5592	1.12	629.3	11062	1.34	901.1
400	3136	1.02	519.4	6036	1.21	733.0	11939	1.45	1049.6
450	3355	1.09	594.2	6456	1.30	838.6	12770	1.55	1200.9
500	3563	1.16	670.3	6856	1.38	946.0	13563	1.65	1354.5
550	3762	1.22	747.4	7240	1.45	1054.8	14322	1.74	1510.4
600	3954	1.29	825.5	7609	1.53	1165.1	15052	1.83	1668.3
650	4139	1.35	904.6	7965	1.60	1276.7	15756	1.91	1828.2
700	4318	1.40	984.6	8310	1.67	1389.5	16438	1.99	1989.7
750	4492	1.46	1065.4	8644	1.73	1503.5	17099	2.08	2153.0
800	4661	1.51	1146.9	8969	1.80	1618.6	17741	2.15	2317.8
850	4825	1.57	1229.2	9285	1.86	1734.8	18367	2.23	2484.1
900	4985	1.62	1312.2	9593	1.92	1851.9	18977	2.30	2651.7
950	5142	1.67	1395.8	9894	1.98	1969.9	19572	2.38	2820.8
1000	5295	1.72	1480.1	10189	2.04	2088.8	20154	2.45	2991.1
1100	5591	1.82	1650.4	10759	2.16	2329.2	21282	2.58	3335.3
1200	5876	1.91	1823.0	11307	2.27	2572.7	22367	2.71	3684.0
1300	6151	2.00	1997.6	11837	2.37	2819.2	23414	2.84	4036.9
1400	6417	2.09	2174.1	12349	2.48	3068.4	24427	2.96	4393.7
1500	6675	2.17	2352.5	12845	2.58	3320.1	25409	3.08	4754.1
1600	6926	2.25	2532.6	13328	2.67	3574.2	26364	3.20	5118.1
1700	7170	2.33	2714.3	13798	2.77	3830.7	27293	3.31	5485.2
1800	7408	2.41	2897.5	14256	2.86	4089.3	28199	3.42	5855.5
1900	7641	2.48	3082.2	14703	2.95	4349.9	29084	3.53	6228.7
2000	7868	2.56	3268.3	15140	3.04	4612.5	29949	3.63	6604.8
2100	8090	2.63	3455.7	15568	3.12	4877.0	30796	3.74	6983.5
2200	8308	2.70	3644.4	15988	3.21	5143.3	31625	3.84	7364.9
2300	8522	2.77	3834.3	16399	3.29	5411.4	32439	3.94	7748.7
2400	8732	2.84	4025.4	16803	3.37	5681.1	33238	4.03	8134.9
2500	8938	2.90	4217.7	17199	3.45	5952.4	34022	4.13	8523.4

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 7 °C, d_e 40 … 63 mm

4.6.2 Medio: acqua a 40 °C

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	16			20			25			32
d_i	11.6			14			19.7			25.5
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	41	0.11	6.0	74	0.13	8.1	174	0.16	12.7	355	0.19	18.5
30	46	0.12	7.4	83	0.14	10.0	193	0.18	15.7	394	0.21	22.8
35	50	0.13	8.8	90	0.16	12.0	211	0.19	18.7	430	0.23	27.2
40	54	0.14	10.2	97	0.17	13.9	228	0.21	21.8	464	0.25	31.7
45	58	0.15	11.7	104	0.18	15.9	244	0.22	24.9	497	0.27	36.2
50	62	0.16	13.2	111	0.19	18.0	259	0.24	28.1	527	0.29	40.9
55	65	0.17	14.7	117	0.20	20.0	273	0.25	31.3	557	0.30	45.6
60	68	0.18	16.2	123	0.21	22.1	287	0.26	34.6	585	0.32	50.3
65	71	0.19	17.8	129	0.22	24.2	301	0.28	37.9	613	0.33	55.2
70	75	0.20	19.4	134	0.23	26.4	314	0.29	41.3	639	0.35	60.0
75	78	0.21	21.0	139	0.24	28.6	327	0.30	44.7	665	0.36	65.0
80	80	0.21	22.6	145	0.25	30.7	339	0.31	48.1	690	0.38	69.9
85	83	0.22	24.2	150	0.26	32.9	351	0.32	51.5	714	0.39	74.9
90	86	0.23	25.8	155	0.27	35.2	362	0.33	55.0	738	0.40	80.0
95	89	0.24	27.5	160	0.27	37.4	374	0.34	58.5	761	0.41	85.1
100	91	0.24	29.1	164	0.28	39.7	385	0.35	62.1	784	0.43	90.2
110	97	0.26	32.5	174	0.30	44.2	406	0.37	69.2	828	0.45	100.6
120	101	0.27	35.9	182	0.31	48.9	427	0.39	76.4	870	0.47	111.1
130	106	0.28	39.3	191	0.33	53.5	447	0.41	83.8	910	0.50	121.8
140	111	0.29	42.8	199	0.34	58.3	466	0.43	91.2	950	0.52	132.6
150	115	0.31	46.3	207	0.36	63.1	485	0.45	98.7	988	0.54	143.4
160	120	0.32	49.8	215	0.37	67.9	503	0.46	106.2	1025	0.56	154.4
170	124	0.33	53.4	223	0.38	72.7	521	0.48	113.8	1061	0.58	165.5
180	128	0.34	57.0	230	0.40	77.7	538	0.49	121.5	1096	0.60	176.7
190	132	0.35	60.7	237	0.41	82.6	555	0.51	129.3	1131	0.62	187.9
200	136	0.36	64.3	244	0.42	87.6	572	0.53	137.1	1165	0.63	199.3
220	143	0.38	71.7	258	0.44	97.7	604	0.56	152.8	1230	0.67	222.2
240	151	0.40	79.2	271	0.47	107.9	635	0.58	168.8	1292	0.70	245.4
260	158	0.42	86.8	284	0.49	118.2	664	0.61	185.0	1353	0.74	268.9
280	165	0.44	94.5	296	0.51	128.7	693	0.64	201.3	1411	0.77	292.7
300	171	0.45	102.2	308	0.53	139.2	721	0.66	217.8	1468	0.80	316.7
350	187	0.50	121.9	336	0.58	166.0	787	0.72	259.8	1603	0.87	377.7
400	202	0.54	142.0	363	0.62	193.4	850	0.78	302.7	1730	0.94	440.0
450	216	0.57	162.5	388	0.67	221.3	909	0.84	346.3	1851	1.01	503.4
500	229	0.61	183.3	412	0.71	249.6	965	0.89	390.6	1966	1.07	567.8
550	242	0.64	204.4	435	0.75	278.3	1019	0.94	435.5	2076	1.13	633.2
600	254	0.67	225.7	458	0.79	307.4	1071	0.98	481.0	2182	1.19	699.4
650	266	0.71	247.4	479	0.82	336.9	1122	1.03	527.1	2284	1.24	766.4
700	278	0.74	269.2	500	0.86	366.7	1170	1.08	573.7	2383	1.30	834.1
750	289	0.77	291.3	520	0.89	396.7	1217	1.12	620.8	2478	1.35	902.6
800	300	0.80	313.6	539	0.93	427.1	1263	1.16	668.3	2571	1.40	971.7
850	311	0.82	336.1	558	0.96	457.8	1307	1.20	716.3	2662	1.45	1041.4
900	321	0.85	358.8	577	0.99	488.7	1351	1.24	764.6	2750	1.50	1111.7
950	331	0.88	381.7	595	1.02	519.8	1393	1.28	813.3	2837	1.54	1182.5
1000	341	0.90	404.7	613	1.05	551.2	1435	1.32	862.4	2921	1.59	1253.9
1100	360	0.95	451.3	647	1.11	614.6	1515	1.39	961.7	3085	1.68	1398.2
1200	378	1.00	498.5	680	1.17	678.9	1592	1.46	1062.2	3242	1.76	1544.4
1300	396	1.05	546.2	712	1.22	743.9	1667	1.53	1164.0	3394	1.85	1692.3
1400	413	1.09	594.5	743	1.28	809.7	1739	1.60	1266.9	3540	1.93	1841.9
1500	430	1.14	643.3	773	1.33	876.1	1809	1.66	1370.8	3683	2.00	1993.0
1600	446	1.18	692.5	802	1.38	943.1	1877	1.72	1475.7	3821	2.08	2145.6
1700	461	1.22	742.2	830	1.43	1010.8	1943	1.79	1581.6	3956	2.15	2299.5
1800	477	1.26	792.3	857	1.47	1079.0	2007	1.84	1688.4	4087	2.22	2454.7
1900	492	1.30	842.8	884	1.52	1147.8	2070	1.90	1796.0	4215	2.29	2611.2
2000	506	1.34	893.7	911	1.57	1217.1	2132	1.96	1904.4	4341	2.36	2768.8
2100	521	1.38	944.9	936	1.61	1286.9	2192	2.01	2013.6	4464	2.43	2927.6
2200	535	1.42	996.5	962	1.65	1357.2	2251	2.07	2123.6	4584	2.49	3087.5
2300	548	1.45	1048.5	986	1.70	1427.9	2309	2.12	2234.3	4702	2.56	3248.4
2400	562	1.49	1100.7	1011	1.74	1499.1	2366	2.17	2345.6	4817	2.62	3410.3
2500	575	1.52	1153.3	1034	1.78	1570.7	2422	2.23	2457.6	4931	2.68	3573.2

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 40 °C, d_e 16 … 32 mm

Densità:	992 kg/m³
Viscosità:	0.0007 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	40			50			63
d_i	33			42			54
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	707	0.23	26.6	1360	0.28	37.5	2691	0.33	53.8
30	785	0.26	32.8	1510	0.31	46.2	2987	0.37	66.2
35	857	0.28	39.1	1649	0.33	55.1	3262	0.40	79.0
40	925	0.30	45.5	1780	0.36	64.2	3520	0.43	92.0
45	989	0.32	52.1	1904	0.38	73.5	3765	0.46	105.2
50	1051	0.34	58.7	2022	0.41	82.9	3999	0.49	118.7
55	1109	0.36	65.5	2135	0.43	92.4	4223	0.52	132.4
60	1166	0.38	72.3	2244	0.45	102.1	4438	0.54	146.2
65	1220	0.40	79.3	2349	0.47	111.9	4646	0.57	160.2
70	1273	0.42	86.3	2450	0.50	121.8	4847	0.59	174.4
75	1324	0.43	93.4	2549	0.52	131.8	5042	0.62	188.7
80	1374	0.45	100.5	2645	0.53	141.8	5231	0.64	203.1
85	1423	0.47	107.7	2738	0.55	152.0	5416	0.66	217.7
90	1470	0.48	115.0	2829	0.57	162.3	5595	0.68	232.4
95	1516	0.50	122.3	2917	0.59	172.6	5771	0.71	247.2
100	1561	0.51	129.7	3004	0.61	183.0	5943	0.73	262.1
110	1649	0.54	144.6	3172	0.64	204.1	6275	0.77	292.3
120	1733	0.57	159.7	3334	0.67	225.5	6595	0.81	322.8
130	1814	0.59	175.1	3490	0.71	247.0	6904	0.84	353.8
140	1892	0.62	190.5	3641	0.74	268.9	7202	0.88	385.0
150	1968	0.64	206.2	3787	0.77	290.9	7492	0.92	416.6
160	2042	0.67	221.9	3930	0.79	313.2	7773	0.95	448.5
170	2114	0.69	237.9	4068	0.82	335.7	8047	0.98	480.7
180	2184	0.72	253.9	4203	0.85	358.3	8315	1.02	513.1
190	2253	0.74	270.1	4335	0.88	381.2	8576	1.05	545.8
200	2320	0.76	286.4	4464	0.90	404.2	8831	1.08	578.8
220	2450	0.80	319.4	4714	0.95	450.7	9325	1.14	645.4
240	2575	0.84	352.8	4954	1.00	497.8	9800	1.20	712.9
260	2695	0.88	386.5	5186	1.05	545.5	10259	1.25	781.2
280	2812	0.92	420.7	5411	1.09	593.7	10703	1.31	850.2
300	2925	0.96	455.2	5628	1.14	642.5	11133	1.36	920.0
350	3194	1.05	542.9	6146	1.24	766.2	12158	1.49	1097.2
400	3447	1.13	632.4	6634	1.34	892.5	13122	1.61	1278.1
450	3687	1.21	723.6	7096	1.43	1021.2	14036	1.72	1462.2
500	3916	1.28	816.1	7536	1.52	1151.8	14907	1.82	1649.3
550	4135	1.35	910.1	7958	1.61	1284.4	15741	1.93	1839.1
600	4346	1.42	1005.2	8363	1.69	1418.7	16544	2.02	2031.4
650	4550	1.49	1101.5	8755	1.77	1554.6	17318	2.12	2226.0
700	4746	1.55	1198.9	9133	1.85	1692.0	18067	2.21	2422.8
750	4937	1.62	1297.2	9501	1.92	1830.8	18794	2.30	2621.5
800	5123	1.68	1396.5	9858	1.99	1970.9	19500	2.39	2822.2
850	5303	1.74	1496.7	10205	2.06	2112.3	20187	2.47	3024.7
900	5479	1.79	1597.7	10544	2.13	2254.9	20857	2.55	3228.8
950	5651	1.85	1699.6	10875	2.20	2398.6	21512	2.63	3434.7
1000	5819	1.91	1802.2	11198	2.26	2543.4	22151	2.71	3642.0
1100	6145	2.01	2009.6	11825	2.39	2836.1	23391	2.86	4061.1
1200	6458	2.12	2219.7	12428	2.51	3132.7	24584	3.01	4485.7
1300	6761	2.21	2432.3	13010	2.63	3432.7	25734	3.15	4915.4
1400	7053	2.31	2647.3	13572	2.74	3736.2	26847	3.28	5349.9
1500	7337	2.40	2864.5	14118	2.85	4042.7	27927	3.42	5788.8
1600	7612	2.49	3083.7	14648	2.96	4352.1	28976	3.54	6231.9
1700	7881	2.58	3305.0	15165	3.07	4664.4	29998	3.67	6679.0
1800	8142	2.67	3528.1	15668	3.17	4979.2	30994	3.79	7129.9
1900	8398	2.75	3753.0	16160	3.27	5296.6	31966	3.91	7584.3
2000	8647	2.83	3979.5	16641	3.37	5616.4	32917	4.03	8042.2
2100	8892	2.91	4207.7	17111	3.46	5938.4	33848	4.14	8503.4
2200	9131	2.99	4437.5	17572	3.55	6262.7	34759	4.25	8967.7
2300	9366	3.07	4668.8	18024	3.64	6589.1	35654	4.36	9435.1
2400	9597	3.14	4901.5	18468	3.73	6917.5	36531	4.47	9905.3
2500	9823	3.22	5135.6	18904	3.82	7247.9	37393	4.57	10378.4

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 40 °C, d_e 40 … 63 mm

4.6.3 Medio: acqua a 60 °C

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	16			20			25			32
d_i	11.6			14			19.7			25.5
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	43	0.12	6.6	78	0.13	8.9	182	0.17	14.0	370	0.20	20.3
30	48	0.13	8.1	86	0.15	11.0	202	0.19	17.2	411	0.23	25.1
35	52	0.14	9.6	94	0.16	13.1	220	0.20	20.6	449	0.25	29.9
40	57	0.15	11.2	102	0.18	15.3	238	0.22	23.9	485	0.27	34.8
45	60	0.16	12.9	109	0.19	17.5	255	0.24	27.4	518	0.28	39.8
50	64	0.17	14.5	115	0.20	19.8	270	0.25	30.9	550	0.30	44.9
55	68	0.18	16.2	122	0.21	22.0	285	0.26	34.5	581	0.32	50.1
60	71	0.19	17.9	128	0.22	24.3	300	0.28	38.1	611	0.34	55.3
65	75	0.20	19.6	134	0.23	26.7	314	0.29	41.7	639	0.35	60.6
70	78	0.21	21.3	140	0.24	29.0	328	0.30	45.4	667	0.37	66.0
75	81	0.22	23.1	146	0.25	31.4	341	0.32	49.1	694	0.38	71.4
80	84	0.22	24.8	151	0.26	33.8	354	0.33	52.9	720	0.40	76.9
85	87	0.23	26.6	156	0.27	36.2	366	0.34	56.7	745	0.41	82.4
90	90	0.24	28.4	162	0.28	38.7	378	0.35	60.5	770	0.42	88.0
95	93	0.25	30.2	167	0.29	41.1	390	0.36	64.4	794	0.44	93.6
100	95	0.26	32.0	172	0.30	43.6	402	0.37	68.2	818	0.45	99.2
110	101	0.27	35.7	181	0.31	48.6	424	0.39	76.1	864	0.47	110.6
120	106	0.28	39.4	190	0.33	53.7	446	0.41	84.1	908	0.50	122.2
130	111	0.30	43.2	199	0.35	58.9	467	0.43	92.1	950	0.52	133.9
140	116	0.31	47.0	208	0.36	64.1	487	0.45	100.2	991	0.54	145.7
150	120	0.32	50.9	216	0.38	69.3	506	0.47	108.5	1031	0.57	157.7
160	125	0.33	54.8	224	0.39	74.6	525	0.49	116.8	1070	0.59	169.8
170	129	0.35	58.7	232	0.40	80.0	544	0.50	125.1	1108	0.61	182.0
180	134	0.36	62.7	240	0.42	85.4	562	0.52	133.6	1144	0.63	194.2
190	138	0.37	66.7	248	0.43	90.8	580	0.54	142.1	1180	0.65	206.6
200	142	0.38	70.7	255	0.44	96.3	597	0.55	150.7	1216	0.67	219.1
220	150	0.40	78.9	269	0.47	107.4	630	0.58	168.0	1284	0.71	244.3
240	157	0.42	87.1	283	0.49	118.6	663	0.61	185.6	1349	0.74	269.8
260	165	0.44	95.4	296	0.51	130.0	694	0.64	203.4	1412	0.78	295.7
280	172	0.46	103.9	309	0.54	141.5	724	0.67	221.4	1473	0.81	321.8
300	179	0.48	112.4	321	0.56	153.1	753	0.70	239.5	1532	0.84	348.2
350	195	0.52	134.1	351	0.61	182.6	822	0.76	285.7	1674	0.92	415.3
400	211	0.56	156.2	379	0.66	212.7	887	0.82	332.8	1806	0.99	483.8
450	225	0.60	178.7	405	0.70	243.3	949	0.88	380.7	1932	1.06	553.5
500	239	0.64	201.5	430	0.75	274.4	1008	0.93	429.4	2052	1.13	624.3
550	253	0.68	224.7	455	0.79	306.0	1064	0.99	478.8	2167	1.19	696.2
600	266	0.71	248.2	478	0.83	338.0	1118	1.04	528.9	2277	1.25	769.0
650	278	0.74	272.0	500	0.87	370.4	1171	1.09	579.6	2384	1.31	842.6
700	290	0.78	296.0	522	0.91	403.1	1221	1.13	630.8	2487	1.37	917.1
750	302	0.81	320.3	543	0.94	436.2	1270	1.18	682.5	2587	1.42	992.3
800	313	0.84	344.8	563	0.98	469.6	1318	1.22	734.8	2684	1.47	1068.3
850	324	0.87	369.5	583	1.01	503.3	1365	1.27	787.5	2779	1.53	1144.9
900	335	0.90	394.5	602	1.05	537.3	1410	1.31	840.7	2871	1.58	1222.2
950	345	0.92	419.6	621	1.08	571.5	1454	1.35	894.2	2961	1.63	1300.1
1000	356	0.95	445.0	640	1.11	606.0	1497	1.39	948.2	3049	1.67	1378.6
1100	376	1.00	496.2	675	1.17	675.8	1581	1.47	1057.4	3220	1.77	1537.3
1200	395	1.06	548.1	710	1.23	746.4	1662	1.54	1167.9	3384	1.86	1698.0
1300	413	1.11	600.6	743	1.29	817.9	1740	1.61	1279.8	3542	1.95	1860.7
1400	431	1.15	653.6	775	1.35	890.2	1815	1.68	1392.9	3695	2.03	2025.1
1500	448	1.20	707.3	806	1.40	963.2	1888	1.75	1507.2	3844	2.11	2191.3
1600	465	1.24	761.4	837	1.45	1037.0	1959	1.82	1622.5	3988	2.19	2359.0
1700	482	1.29	816.0	866	1.50	1111.4	2028	1.88	1738.9	4129	2.27	2528.3
1800	498	1.33	871.1	895	1.55	1186.4	2095	1.94	1856.3	4266	2.34	2698.9
1900	513	1.37	926.6	923	1.60	1262.0	2161	2.00	1974.7	4400	2.42	2871.0
2000	529	1.41	982.6	950	1.65	1338.2	2225	2.06	2093.9	4531	2.49	3044.3
2100	543	1.45	1038.9	977	1.70	1414.9	2288	2.12	2213.9	4659	2.56	3218.9
2200	558	1.49	1095.7	1004	1.74	1492.2	2350	2.18	2334.8	4785	2.63	3394.6
2300	572	1.53	1152.8	1030	1.79	1569.9	2410	2.24	2456.5	4908	2.70	3571.5
2400	587	1.57	1210.2	1055	1.83	1648.2	2470	2.29	2579.0	5028	2.76	3749.5
2500	600	1.61	1268.0	1080	1.87	1726.9	2528	2.34	2702.1	5147	2.83	3928.6

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 60 °C, d_e 16 … 32 mm

Densità:	983 kg/m³
Viscosità:	0.0005 Pa·s
Rugosità superficiale:	0.0015 mm

d_e	40			50			63
d_i	33			42			54
R [Pa/m]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]	ṁ [kg/h]	v [m/s]	P_dyn [Pa]
25	738	0.24	29.2	1420	0.29	41.3	2809	0.35	59.1
30	819	0.27	36.0	1576	0.32	50.8	3117	0.38	72.8
35	894	0.30	43.0	1721	0.35	60.6	3405	0.42	86.8
40	965	0.32	50.0	1858	0.38	70.6	3674	0.45	101.1
45	1033	0.34	57.3	1987	0.41	80.8	3930	0.49	115.7
50	1097	0.36	64.6	2110	0.43	91.1	4174	0.52	130.5
55	1158	0.38	72.0	2228	0.45	101.6	4408	0.54	145.5
60	1217	0.40	79.5	2342	0.48	112.3	4633	0.57	160.7
65	1274	0.42	87.2	2451	0.50	123.0	4849	0.60	176.1
70	1329	0.44	94.9	2558	0.52	133.9	5059	0.62	191.7
75	1382	0.46	102.6	2660	0.54	144.9	5263	0.65	207.4
80	1434	0.47	110.5	2760	0.56	156.0	5460	0.67	223.3
85	1485	0.49	118.4	2858	0.58	167.1	5653	0.70	239.3
90	1534	0.51	126.4	2953	0.60	178.4	5840	0.72	255.5
95	1582	0.52	134.5	3045	0.62	189.8	6024	0.74	271.8
100	1630	0.54	142.6	3136	0.64	201.3	6203	0.77	288.2
110	1721	0.57	159.0	3311	0.68	224.4	6550	0.81	321.3
120	1808	0.60	175.6	3480	0.71	247.9	6884	0.85	354.9
130	1893	0.63	192.5	3643	0.74	271.6	7206	0.89	388.9
140	1975	0.65	209.5	3800	0.78	295.6	7518	0.93	423.3
150	2054	0.68	226.7	3953	0.81	319.9	7820	0.97	458.1
160	2132	0.70	244.0	4102	0.84	344.4	8114	1.00	493.1
170	2207	0.73	261.5	4246	0.87	369.1	8400	1.04	528.5
180	2280	0.75	279.2	4387	0.90	394.0	8679	1.07	564.2
190	2351	0.78	297.0	4525	0.92	419.1	8951	1.10	600.1
200	2421	0.80	314.9	4660	0.95	444.4	9217	1.14	636.4
220	2557	0.85	351.1	4920	1.00	495.6	9733	1.20	709.6
240	2687	0.89	387.8	5171	1.06	547.4	10229	1.26	783.8
260	2813	0.93	425.0	5413	1.10	599.8	10708	1.32	858.9
280	2935	0.97	462.6	5647	1.15	652.8	11171	1.38	934.8
300	3053	1.01	500.5	5875	1.20	706.4	11621	1.43	1011.5
350	3334	1.10	596.9	6416	1.31	842.4	12691	1.57	1206.3
400	3598	1.19	695.3	6924	1.41	981.3	13697	1.69	1405.2
450	3849	1.27	795.5	7406	1.51	1122.7	14650	1.81	1607.7
500	4088	1.35	897.3	7866	1.61	1266.4	15560	1.92	1813.4
550	4316	1.43	1000.6	8306	1.70	1412.1	16430	2.03	2022.1
600	4536	1.50	1105.2	8730	1.78	1559.8	17268	2.13	2233.5
650	4749	1.57	1211.1	9138	1.86	1709.2	18076	2.23	2447.4
700	4954	1.64	1318.1	9533	1.95	1860.3	18858	2.33	2663.8
750	5153	1.70	1426.3	9917	2.02	2012.9	19616	2.42	2882.3
800	5347	1.77	1535.4	10289	2.10	2167.0	20353	2.51	3102.9
850	5535	1.83	1645.6	10652	2.17	2322.4	21071	2.60	3325.5
900	5719	1.89	1756.7	11006	2.25	2479.2	21770	2.69	3550.0
950	5899	1.95	1868.6	11351	2.32	2637.2	22454	2.77	3776.3
1000	6074	2.01	1981.5	11689	2.39	2796.4	23121	2.85	4004.3
1100	6414	2.12	2209.5	12343	2.52	3118.3	24416	3.01	4465.1
1200	6741	2.23	2440.5	12972	2.65	3444.3	25660	3.17	4932.0
1300	7057	2.33	2674.3	13579	2.77	3774.2	26861	3.32	5404.4
1400	7362	2.43	2910.6	14167	2.89	4107.8	28023	3.46	5882.1
1500	7658	2.53	3149.4	14736	3.01	4444.8	29150	3.60	6364.6
1600	7946	2.63	3390.5	15290	3.12	4785.0	30245	3.73	6851.8
1700	8226	2.72	3633.7	15829	3.23	5128.3	31311	3.87	7343.4
1800	8499	2.81	3879.0	16354	3.34	5474.5	32351	3.99	7839.1
1900	8765	2.90	4126.3	16868	3.44	5823.5	33366	4.12	8338.8
2000	9026	2.98	4375.4	17369	3.54	6175.1	34358	4.24	8842.2
2100	9281	3.07	4626.3	17860	3.64	6529.2	35330	4.36	9349.3
2200	9531	3.15	4878.9	18342	3.74	6885.7	36281	4.48	9859.8
2300	9777	3.23	5133.2	18813	3.84	7244.5	37215	4.59	10373.6
2400	10017	3.31	5389.0	19277	3.93	7605.6	38131	4.71	10890.7
2500	10254	3.39	5646.4	19731	4.03	7968.8	39031	4.82	11410.8

Tabella di perdita di pressione dei tubi Optiflex-Flowpress con medio acqua a 60 °C, d_e 40 … 63 mm

4.7 Valori Zeta e lunghezze equivalenti dei tubi per pressfitting Optipress-Therm e rubinetteria

I pressfitting Optipress-Therm e la rubinetteria vengono lavorati con tubi Optipress-Therm in acciaio.

Temperatura di riferimento t = 60 °C

Tipo di fitting / tipo di rubinetteria Materiale: acciaio 1.0308 zincato		Valore Zeta ζ
		Lunghezze equivalenti dei tubi [m]
Simbolo	Diametro esterno d_e	15	18	22	28	35	42	54	64	76.1	88.9	108
Simbolo	Diametro nominale DN	12	15	20	25	32	40	50	60	65	80	100
	Gomito	1.3	1.2	1.1	1.1
	Gomito	0.8	0.9	1.1	1.6
	Pezzo a T uguale – deviazione	1.3	1.2	1.1	1.1	0.9	0.9	0.9	0.8	0.8	0.7	0.6
	Pezzo a T uguale – deviazione	0.8	0.9	1.1	1.5	1.5	1.5	2.6	2.9	3.7	4.1	4.8
	Pezzo a T uguale – portata	0.3	0.3	0.2	0.1	0.1	0.1	0.1	0.1	0.1	0.1	0.1
	Pezzo a T uguale – portata	0.2	0.3	0.2	0.1	0.2	0.2	0.2	0.3	0.2	0.2	0.3
	Curva 90°	0.8	0.5	0.3	0.4	0.2	0.3	0.3	0.3	0.2	0.2	0.2
	Curva 90°	0.5	0.4	0.3	0.5	0.4	0.4	0.9	1.0	1.0	1.2	1.3
	Curva 45°	0.5	0.3	0.7	0.4	0.3	0.2	0.2	0.2	0.2	0.2	0.1
	Curva 45°	0.3	0.2	0.7	0.5	0.5	0.4	0.6	0.7	0.8	0.9	1.1