Nu = a₁ + ( ) Nu == Nusselt number hmheat transfer coefficient D₁ = tube diameter Dp solid particle diameter L=heated fulidized bed length void fraction of fluid bed G gas mass velocity 1- P.C.)" (D-9)" ()

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2. Dow and Jacob proposed the following dimensionless equation as a suitable representation for experimental data dealing with heat transfer between a vertical tube and a fluidized solid mixture:
1- P₂C₂)
()*(()*
where
Nu = t = Nusselt number
hm = heat transfer coefficient
D₁ = tube diameter
Dp solid particle diameter
L =
heated fulidized bed length
€ = void fraction of fluid bed
G gas mass velocity
Nu = a₁
Kg. Pg. Cg.lg
Cs. Ps= properties of solid phase
hm De
kg
469
913
1120
234
487
709
581
650
885
672
986
1310
1190
1890
2460
properties of gas phase
Use the following data to calculate the parameter values a₁, a, a, a, a, using linear regression on log(Nu) and
non-linear regression on Nu.
915
1260
Dt
L
0.636
0.636
0.641
0.285
0.285
0.283
0.518
0.521
0.524
0.455
0.451
0.455
0.944
0.974
0.985
0.602
0.602
1690
0.617
Dow, W.M., and Jacob, M., Chem. Eng. Progr. 47, 637 (1951).
as
Dt
D₂
309
309
309
309
309
309
683
683
683
1012
1012
1012
1130
1130
1130
1130
1130
1130
1-8 Ps Cs
€ Pq Cq
833
868
800
800
800
767
795
795
795
867
867
867
1608
1608
1608
1673
1673
1673
D₁G
Mg
256
555
786
255
555
850
254
300
440
338
565
811
343
573
814
343
485
700
Transcribed Image Text:2. Dow and Jacob proposed the following dimensionless equation as a suitable representation for experimental data dealing with heat transfer between a vertical tube and a fluidized solid mixture: 1- P₂C₂) ()*(()* where Nu = t = Nusselt number hm = heat transfer coefficient D₁ = tube diameter Dp solid particle diameter L = heated fulidized bed length € = void fraction of fluid bed G gas mass velocity Nu = a₁ Kg. Pg. Cg.lg Cs. Ps= properties of solid phase hm De kg 469 913 1120 234 487 709 581 650 885 672 986 1310 1190 1890 2460 properties of gas phase Use the following data to calculate the parameter values a₁, a, a, a, a, using linear regression on log(Nu) and non-linear regression on Nu. 915 1260 Dt L 0.636 0.636 0.641 0.285 0.285 0.283 0.518 0.521 0.524 0.455 0.451 0.455 0.944 0.974 0.985 0.602 0.602 1690 0.617 Dow, W.M., and Jacob, M., Chem. Eng. Progr. 47, 637 (1951). as Dt D₂ 309 309 309 309 309 309 683 683 683 1012 1012 1012 1130 1130 1130 1130 1130 1130 1-8 Ps Cs € Pq Cq 833 868 800 800 800 767 795 795 795 867 867 867 1608 1608 1608 1673 1673 1673 D₁G Mg 256 555 786 255 555 850 254 300 440 338 565 811 343 573 814 343 485 700
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