2.5 Heat Transfer Correlations from Dimensional Analysis
100 29
Re	Pr	Mu	Nu	lnRe=ln(Re)	lnPr=ln(Pr)	lnMu=ln(Mu)	lnNu=ln(Nu)	calclin1=exp(-0.412045+0.539538*lnRe+0.245353*lnPr)	calclin2=exp(-0.6260+0.5588*lnRe+0.2524*lnPr-0.06772*lnMu)	calcnon1=0.165641*Re^0.663548*Pr^0.341377	calcnon2=0.149154*Re^0.673289*Pr^0.328567*Mu^(-0.177693)	s2lin1=(Nu-calclin1)^2	s2rlin1=((Nu-calclin1)/Nu)^2	s2lin2=(Nu-calclin2)^2	s2rlin2=((Nu-calclin2)/Nu)^2	s2non1=(Nu-calcnon1)^2	s2rnon1=((Nu-calcnon1)/Nu)^2	s2non2=(Nu-calcnon2)^2	s2rnon2=((Nu-calcnon2)/Nu)^2
49000	2.3	0.947	277	10.7995755770928	0.832909122935104	-0.0544561857960589	5.62401750618734	275.63930904415	276.639957418303	284.98607218696	284.804342168925	1.85147987733192	2.41301186947819e-05	0.129630660635022	1.68946109860707e-06	63.7773489753356	0.000831202660993049	60.9077566896612	0.000793803603457118
68600	2.28	0.954	348	11.136047813714	0.824175442966349	-0.0470916075338506	5.85220247977448	329.801145281381	332.964022555664	355.21538071886	355.728304010669	331.1983130694	0.00273482554721066	226.080617706582	0.00186683030871467	52.0617189180965	0.000429892645313916	59.7266828813222	0.000493185054839825
84800	2.27	0.959	421	11.34805082178	0.819779831493311	-0.0418642040986989	6.04263283368238	369.368608803089	374.292760236181	408.257426641966	409.334805248539	2665.80055692846	0.0150405411667078	2181.56624635488	0.0123084740345342	162.373175784878	0.000916115209149565	136.076768589513	0.00076774994831621
34200	2.32	0.943	223	10.4399809230507	0.841567185678218	-0.0586889963486796	5.40717177146012	227.511880946635	226.840542863435	225.154686048934	224.368142316324	20.3570696766078	0.000409360125411889	14.7497694858814	0.000296602977857617	4.6426719694708	9.33594475953829e-05	1.87181339771639	3.76402782625106e-05
22900	2.36	0.936	177	10.0388921895423	0.858661619037519	-0.066139802504545	5.17614973257383	184.010720293595	182.169602604626	173.55276583058	172.46256281729	49.1501990350248	0.0015688403407394	26.7247910897558	0.000853036837746364	11.8834234188168	0.000379310652073695	20.5883361870392	0.000657165443743471
1321	246	0.592	114.8	7.18614430452232	5.50533153593236	-0.524248644098131	4.74319148388547	123.458187267811	123.305527051852	127.716474176971	126.166384025706	74.9642067644846	0.00568813864776832	72.3439904297862	0.00548932171309793	166.835305164359	0.0126591394490311	129.194685819824	0.0098030422413032
931	247	0.583	95.9	6.83625927727707	5.50938833662798	-0.539568092631645	4.56330598188939	102.32168391759	101.617000768044	101.3958486494	100.091312413754	41.2380243374339	0.00448394871019776	32.6840977818156	0.00355385158351815	30.2043523771117	0.00328422054789777	17.5670997496883	0.00191012968080109
518	251	0.579	68.3	6.24997524225948	5.52545293913178	-0.546452801409142	4.22390976657674	74.8690507285692	73.5610939326324	69.0954330655617	67.8870954782719	43.1524274745157	0.00925047053081973	27.6791093679815	0.00593349668866394	0.6327137617889	0.000135633157864151	0.170490144063507	3.65475164609469e-05
346	273	0.29	49.1	5.84643877505772	5.60947179518496	-1.23787435600162	3.89385903480048	61.4750632626549	62.8436263878757	54.4022180605707	60.1364347891916	153.142190754711	0.063523127394822	188.887266289513	0.0783501255965892	28.1135163618421	0.0116614400810691	121.802892856079	0.0505236384684312
122.9	1518	0.294	56	4.81137101657199	7.32514895795558	-1.22417551164346	4.02535169073515	53.576994444763	54.2912399315011	49.169843962525	52.5096450254073	5.87095592070935	0.00187211604614456	2.91986097169636	0.000931078115974603	46.6510314962562	0.0148759666761021	12.182577848664	0.00388475058949745
54	1590	0.279	39.9	3.98898404656427	7.37148929521428	-1.27654349716077	3.68637632389582	34.770888090831	34.8152569553332	28.9452699596125	30.9330161372219	26.3077889767792	0.0165248892763106	25.8546118302874	0.016240232052743	120.006110257768	0.0753802490296972	80.4067995953228	0.0505064664137303
84.6	1521	0.267	47	4.43793426661218	7.32712329225929	-1.32050662058189	3.85014760171006	43.8213376389643	44.376422139447	38.4039873617945	41.568059687602	10.103894405465	0.00457396758961749	6.88316079038385	0.00311596233154543	73.8914332761887	0.0334501735066495	29.5059755574545	0.0133571641274126
1249	107.4	0.724	94.2	7.13009851012558	4.67656018207476	-0.322963886596421	4.54542018158232	97.7411013861422	95.6345304305921	92.7307570069393	89.2813587317358	12.5393990269382	0.00141310657485972	2.05787755629473	0.000231909065084309	2.15867497265797	0.000243268261125984	24.1930319258716	0.00272639321922814
1021	186	0.612	99.9	6.92853781816466	5.2257466737132	-0.491022996469811	4.60416968565451	100.315183159338	99.2753666767856	97.8498979839646	96.1963683544534	0.172377055797883	1.72722327731017e-05	0.390166788469879	3.90948294109804e-05	4.20291827615245	0.00042113367382923	13.7168873658943	0.00137443623462244
465	414	0.512	83.1	6.14203740558736	6.02586597382532	-0.669430653942629	4.4200447018614	79.8605406841121	79.2361724906438	76.3017750275982	76.0540384334082	10.4940966592929	0.00151964803388736	14.9291630220577	0.00216188910495347	46.2158627753874	0.006692509825401	49.6455743978888	0.00718916567803406
54.8	1302	0.273	35.9	4.00369019395397	7.17165682276851	-1.29828348379718	3.58073729549423	33.3709418327865	33.4251302569102	27.3016415076907	29.3687232086344	6.3961352131493	0.00496282245881806	6.12498024526136	0.00475243072699728	73.9317687622674	0.0573643661689989	42.6575765254309	0.0330984214317323
*
Nu=d2*Re^e2*Pr^f2*Mu^g2
d2=0.53	e2=0.56	f2=0.25	g2=-0.067