Tablo: Hava ve Su için taşınım ısı katsayılarını hesaplamak için formül ve diyagramlar

Hava ve suyun boru içindeki taşınım katsayısını hesaplamak için :

V= Boru içindeki hız (m/s)
D=Boru iç çapı (m)
v=Kinematik viskkozite (m²/s)

laminar Akış -  2300
Gecici Akış -  2300 - Re - 4000
Trübülanslı Akış- - 4000 yukarısı

Nusselt Sayısı Taşınım Katsayısı Bağlantısı :

Nu :Nussel Sayısı
Pr : Prandtl Sayısı

h=Taşınım Katsayısı (w/m².°C)
k=Termal İletkenlik w/m.°C
D= Borunun iç çapı


Normal boru dışındaki dış havanın taşınım katsayısı :

h=10,45-v + 10.v^0,5
h=dış havanın taşınım katsayısı (w/m².°C)
v=Yüzeydeki Hava Hızı

 

Dış Hava Taşınım Diayagramı

 Suyun Termal İletkenlik Özellikleri

Cinsi	Sıcaklık	Termal İletkenlik
	[°C]	[W/m K*10³]	[kcal(IT)/(h m K)]	[Btu(IT)/(h ft °F)]
Sıvı	0.01	555.75	0.4779	0.3211
	10	578.64	0.4975	0.3343
	20	598.03	0.5142	0.3455
	30	614.50	0.5284	0.3551
	40	628.56	0.5405	0.3632
	50	640.60	0.5508	0.3701
	60	650.91	0.5597	0.3761
	70	659.69	0.5672	0.3812
	80	667.02	0.5735	0.3854
	90	672.88	0.5786	0.3888
	99.6	677.03	0.5821	0.3912
Gaz	100	24.57	0.0211	0.0142
	125	26.66	0.0229	0.0154
	150	28.83	0.0248	0.0167
	175	31.09	0.0267	0.0180
	200	33.43	0.0287	0.0193
	225	35.85	0.0308	0.0207
	250	38.34	0.0330	0.0222
	275	40.91	0.0352	0.0236
	300	43.53	0.0374	0.0252
	350	48.98	0.0421	0.0283
	400	54.65	0.0470	0.0316
	450	60.52	0.0520	0.0350
	500	66.58	0.0573	0.0385
	550	72.81	0.0626	0.0421
	600	79.17	0.0681	0.0457
	700	92.28	0.0794	0.0533
	800	105.81	0.0910	0.0611
	900	119.67	0.1029	0.0691

 Suyun Prandtl Sayısı  Pr =  μ c_p / k   

Tür	Sıcaklık		Prandtl Sayısı		Sıcaklık		Prandtl Sayısı
	[K]	[°C]	[-]		[K]	[°F]	[-]
Sıvı	273	0	13.6		273	32	13.6
	278	5	11.2		278	40	11.5
	283	10	9.46		283	50	9.46
	293	20	6.99		297	75	6.31
	298	25	6.13		311	100	4.56
	303	30	5.43		325	125	3.45
	323	50	3.56		339	150	2.74
	348	75	2.39		353	175	2.25
	373	100	1.76		366	200	1.88
Gaz	373	100	1.03		394	250	0.999
	398	125	0.996		422	300	0.978
	423	150	0.978		450	350	0.964
	448	175	0.965		478	400	0.970
	473	200	0.958		533	500	0.945
	523	250	0.947		589	600	0.937
	573	300	0.939		644	700	0.930
	623	350	0.932		700	800	0.923
	673	400	0.926		755	900	0.917
	773	500	0.916		811	1000	0.912

Tür	Sıcaklık			Basınç		Prandtl Sayısı
	[K]	[°C]	[°F]	[bara]	[psia]	[-]
Liquid	273.16	0.01	32.02	1	14.5	13.60
	280	6.9	44.3	1	14.5	10.53
	300	26.9	80.3	1	14.5	5.856
	320	46.9	116	1	14.5	3.785
	340	66.9	152	1	14.5	2.687
	360	86.9	188	1	14.5	2.040
	372.756	99.61	211.3	1	14.5	1.760
Gas	372.756	99.61	211.3	1	14.5	1.035
	380	107	224	1	14.5	1.020
	400	127	260	1	14.5	0.9938
	450	177	350	1	14.5	0.9644
	500	227	440	1	14.5	0.9512
	550	277	530	1	14.5	0.9425
	600	327	620	1	14.5	0.9354
	650	377	710	1	14.5	0.9289
	700	427	800	1	14.5	0.9231
	750	477	890	1	14.5	0.9179
	800	527	980	1	14.5	0.9132
	900	627	1160	1	14.5	0.9053
	1000	727	1340	1	14.5	0.8992
	1100	827	1520	1	14.5	0.8942
	1200	927	1700	1	14.5	0.8897
Liquid	273.16	0.01	32.02	10	145	13.55
	280	6.9	44.3	10	145	10.50
	300	26.9	80.3	10	145	5.847
	320	46.9	116	10	145	3.781
	340	66.9	152	10	145	2.685
	360	86.9	188	10	145	2.040
	380	107	224	10	145	1.632
	400	127	260	10	145	1.362
	450	177	350	10	145	1.000
	453.028	179.9	355.8	10	145	0.9873
Gas	453.028	179.9	355.8	10	145	1.167
	500	227	440	10	145	1.010
	550	277	530	10	145	0.9694
	600	327	620	10	145	0.9509
	650	377	710	10	145	0.9395
	700	427	800	10	145	0.9308
	750	477	890	10	145	0.9235
	800	527	980	10	145	0.9173
	900	627	1160	10	145	0.9069
	1000	727	1340	10	145	0.8990
	1100	827	1520	10	145	0.8928
	1200	927	1700	10	145	0.8875
Liquid	273.16	0.01	32.018	100	1450	13.12
	280	6.9	44.3	100	1450	10.23
	300	26.9	80.3	100	1450	5.761
	320	46.9	116	100	1450	3.746
	340	66.9	152	100	1450	2.669
	360	86.9	188	100	1450	2.030
	380	107	224	100	1450	1.626
	400	127	260	100	1450	1.358
	450	177	350	100	1450	0.9967
	500	227	440	100	1450	0.8531
	550	277	530	100	1450	0.8366
	584.147	311.00	591.79	100	1450	0.9349
Gas	584.147	311.00	591.79	100	1450	1.841
	600	327	620	100	1450	1.494
	650	377	710	100	1450	1.168
	700	427	800	100	1450	1.058
	750	477	890	100	1450	1.003
	800	527	980	100	1450	0.9686
	900	627	1160	100	1450	0.9251
	1000	727	1340	100	1450	0.8977
	1100	827	1520	100	1450	0.8789
	1200	927	1700	100	1450	0.8655

Suyun Dinamik ve Kinematik Özellikleri

Sıcaklık	Basınç	Dinamik Viskozite			Kinematik
[°C]	[MPa]	[Pa s], [N s/m2]	[cP], [mPa s]	[lbf s/ft2 *10-5]	[m2/s*10-6], [cSt])
0.01	0.000612	0.0017914	1.79140	3.7414	1.7918
10	0.0012	0.0013060	1.30600	2.7276	1.3065
20	0.0023	0.0010016	1.00160	2.0919	1.0035
25	0.0032	0.0008900	0.89004	1.8589	0.8927
30	0.0042	0.0007972	0.79722	1.6650	0.8007
40	0.0074	0.0006527	0.65272	1.3632	0.6579
50	0.0124	0.0005465	0.54650	1.1414	0.5531
60	0.0199	0.0004660	0.46602	0.9733	0.4740
70	0.0312	0.0004035	0.40353	0.8428	0.4127
80	0.0474	0.0003540	0.35404	0.7394	0.3643
90	0.0702	0.0003142	0.31417	0.6562	0.3255
100	0.101	0.0002816	0.28158	0.5881	0.2938
110	0.143	0.0002546	0.25461	0.5318	0.2677
120	0.199	0.0002320	0.23203	0.4846	0.2460
140	0.362	0.0001966	0.19664	0.4107	0.2123
160	0.618	0.0001704	0.17043	0.3559	0.1878
180	1.00	0.0001504	0.15038	0.3141	0.1695
200	1.55	0.0001346	0.13458	0.2811	0.1556
220	2.32	0.0001218	0.12177	0.2543	0.1449
240	3.35	0.0001111	0.11106	0.2320	0.1365
260	4.69	0.0001018	0.10181	0.2126	0.1299
280	6.42	0.0000936	0.09355	0.1954	0.1247
300	8.59	0.0000859	0.08586	0.1793	0.1206
320	11.3	0.0000783	0.07831	0.1636	0.1174
340	14.6	0.0000703	0.07033	0.1469	0.1152
360	18.7	0.0000603	0.06031	0.1260	0.1143

 Havanın Termal İletkenlik Özellkleri

Sıcaklık	Termal İletkenlik
[°C]	[W/m K 10³]	[kcal(IT)/(h m K)]	[Btu(IT)/(h ft °F)]
-190	7.82	0.00672	0.00452
-150	11.69	0.01005	0.00675
-100	16.20	0.01393	0.00936
-75	18.34	0.01577	0.01060
-50	20.41	0.01755	0.01179
-25	22.41	0.01927	0.01295
-15	23.20	0.01995	0.01340
-10	23.59	0.02028	0.01363
-5	23.97	0.02061	0.01385
0	24.36	0.02094	0.01407
5	24.74	0.02127	0.01429
10	25.12	0.02160	0.01451
15	25.50	0.02192	0.01473
20	25.87	0.02225	0.01495
25	26.24	0.02257	0.01516
30	26.62	0.02289	0.01538
40	27.35	0.02352	0.01580
50	28.08	0.02415	0.01623
60	28.80	0.02477	0.01664
80	30.23	0.02599	0.01746
100	31.62	0.02719	0.01827
125	33.33	0.02866	0.01926
150	35.00	0.03010	0.02022
175	36.64	0.03151	0.02117
200	38.25	0.03289	0.02210
225	39.83	0.03425	0.02301
300	44.41	0.03819	0.02566
412	50.92	0.04378	0.02942
500	55.79	0.04797	0.03224
600	61.14	0.05257	0.03533
700	66.32	0.05702	0.03832
800	71.35	0.06135	0.04122
900	76.26	0.06557	0.04406
1000	81.08	0.06971	0.04685
1100	85.83	0.07380	0.04959

 Havanın Prandtl Sayısı

Sıcaklık	Pr	Sıcaklık	Pr
[°C]	[-]	[°F]	[-]
-100	0.734	-150	0.733
-50	0.720	-50	0.719
0	0.711	0	0.714
25	0.707	60	0.709
50	0.705	75	0.708
100	0.701	100	0.706
150	0.699	200	0.701
200	0.698	300	0.699
250	0.699	400	0.698
300	0.702	500	0.700

Havanın Dinamik ve Kinematik Özellikleri

Sıcaklık	Dinamik Viskozite				Kinematik Vskozite
[°C]	[μPa s],[N s/m2 *10-6]	[cP], [mPa s]	[lbf s/ft2 *10-6]	[lbm /ft h]	[cSt], [m2/s *10-6]	[ft2/s*10-4]
-75	13.18	0.01318	0.2753	0.03188	7.40	0.796
-50	14.56	0.01456	0.3041	0.03523	9.22	0.992
-25	15.88	0.01588	0.3317	0.03842	11.18	1.203
-15	16.40	0.01640	0.3425	0.03966	12.01	1.292
-10	16.65	0.01665	0.3477	0.04028	12.43	1.338
-5	16.90	0.01690	0.3530	0.04089	12.85	1.383
0	17.15	0.01715	0.3582	0.04149	13.28	1.430
5	17.40	0.01740	0.3633	0.04209	13.72	1.477
10	17.64	0.01764	0.3685	0.04268	14.16	1.524
15	17.89	0.01789	0.3735	0.04327	14.61	1.573
20	18.13	0.01813	0.3786	0.04385	15.06	1.621
25	18.37	0.01837	0.3836	0.04443	15.52	1.671
30	18.60	0.01860	0.3885	0.04500	15.98	1.720
40	19.07	0.01907	0.3983	0.04614	16.92	1.822
50	19.53	0.01953	0.4080	0.04725	17.88	1.925
60	19.99	0.01999	0.4175	0.04835	18.86	2.030
80	20.88	0.02088	0.4361	0.05051	20.88	2.248
100	21.74	0.02174	0.4541	0.05260	22.97	2.473
125	22.79	0.02279	0.4760	0.05513	25.69	2.765
150	23.80	0.02380	0.4971	0.05758	28.51	3.069
175	24.78	0.02478	0.5176	0.05995	31.44	3.384
200	25.73	0.02573	0.5374	0.06225	34.47	3.710
225	26.66	0.02666	0.5567	0.06448	37.60	4.047
300	29.28	0.02928	0.6115	0.07083	47.54	5.117
412	32.87	0.03287	0.6865	0.07952	63.82	6.869
500	35.47	0.03547	0.7409	0.08581	77.72	8.366
600	38.25	0.03825	0.7988	0.09252	94.62	10.19
700	40.85	0.04085	0.8532	0.09883	112.6	12.12
800	43.32	0.04332	0.9047	0.1048	131.7	14.17
900	45.66	0.04566	0.9535	0.1104	151.7	16.33
1000	47.88	0.04788	1.000	0.1158	172.7	18.59
1100	50.01	0.05001	1.045	0.1210	194.6	20.95

Diyagram Olarak Tablolar :