Page 426 - Mechanical Engineers' Handbook (Volume 4)
P. 426

3 Thermal Control Techniques  415

                                          700
                                                                              Pr = 20
                                                 t = 0.02
                                          600
                                                 H/O = 7
                                          500                                        15
                                                                                     10
                                          400
                                      Nu D  300                                      5


                                          200
                                                                                     0.7
                                          100
                                            0
                                             0     20000   40000   60000   80000  100000
                                                                   Re D
                                       Figure 19 Effect of Reynolds and Prandtl numbers on heat transfer.


                                                1       H/D      0.05     H/D     0.3
                                                            6
                                                     0.6/ƒ  0.5      0.6/ƒ  0.5                (126)
                                                                     0.5
                           and that the second term is not far different from 0.6ƒ . Reexpressing Eq. (126) with these
                           simplifications, the average heat-transfer coefficient, h, is found to approximately equal
                                                 Nu   0.5    0.3  0.35  0.667  0.42
                                                         H
                                                         D     ƒ   Re D  Pr                    (127)
                           This approximation falls within 30% of Eq. (124) throughout the parametric range indicated,
                           but is within 10% for H/D   3.




                                        200
                                            Pr = 20                     t = 0.02
                                                                             = 10,000
                                                                        Re D
                                                15
                                        150
                                               10
                                       Nu D  100  5




                                         50
                                               0.7

                                          0
                                           0      2     4     6      8    10    12     14
                                                                    H/D
                                            Figure 20 Effect of jet aspect ratio on heat transfer.
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