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190  HEAT TRANSFER  AND  HEAT  EXCHANGERS

                                     TABLE 8.10.  Recommended Individual Heat Transfer Coefficient Correlations’
                                                            A.  Single Phase Streams
                                                                             ~~~
                                     a.  Laminar Flow, Re c: 2300
                                     Inside tubes
                                        N~,=$3,66~+  1.6I3Pe(d/L),  0.1 <Pe(d/L)<lo4

                                     Between parallel plates of length L and separation distance s

                                        Nu,  = 3.78 +   0.0156[Pe(~/L)]’.’~   0.1 < Pe(s/L) .i io3
                                                1 + 0.058[Pe(~/L)]~.~  ‘

                                     In concentric  annuli with  d;.  inside,  do outside,  and  hydraulic  diameter  dh = do - 4. I,  heat
                                      transfer at inside wall;  II, at outside wall;  111,  at both walls at equal temperatures
                                        Nu,  = Nu,+  f(2)  0.19[Pe(dh/L)l0.*
                                                          (:r”
                                                  do  1 + 0.1 17[Pe(dh/L)10.467                   (3)
                                         Case I:  Nu;,   = 3.66 + 1.2  -                          (4)
                                        Case If:  Nu,,   = 3.66 + 1.2

                                                             0.102
                                                        [
                                        Case 111:   Nu,  = 3.66 +  4 -  (d;./do) + 0,21(2)   0.04
                                                           4  -0.5
                                         Case I:  f  - = 1 +O  14 -
                                                        ’  (d,)


                                        Case Ill:  f(2) = 1 +0.14(2)0”

                                     b.  Turbulent Flow,  Re > 2300
                                     Inside tubes

                                        Nu=0.0214(Re0~8-100)Pr0~4

                                        Nu=0.012(Re0.87-280)  ~4[1+ (az3], 1.5<Pr<500

                                     Concentric annuli:  Use dh for both Re and Nu. NbUbe from Eqs.  (IO) or (11)
                                                Nu.     2)
                                                        d.  -0.16
                                                   -
                                                     0.86(
                                         Case I:  2-
                                               W”b*
                                                Nu           0.6
                                                   -
                                                     1
                                                      -0.14(2)
                                        Case 11:   2-
                                               NUfube
                                                NU
                                        Case 111:  1- -  0.86(d;./d0)0’84  + I1 - 0.14~d;./do)o~61
                                                hu be        1 + d;./d,
                                     Across  one  row  of  long  tubes:  d = diameter,  s = center-to-center  distance,  a = s/d,
                                       q = 1 - n/4a,  L = nd/2



                                        ’Special  notation used in this table:  (Y = heat transfer coefficient (W/m2 K) (instead of h),
                                     q =viscosity  (instead of p), and (Y =thermal  conductivity (instead of k).
                                        (Based on HEDH,  1983).
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