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12                               TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT - ĐẠI HỌC ĐÀ NẴNG

                                                              13.34%, 13.55% respectively with Reh = 5000. Thus,
                                                              the  thermal  effectiveness  in  case  1  has  the  smallest
                                                              value in three cases with Reynolds numbers of the hot
                                                              fluid flow  Reh from 5000  to 17000.  For  example,  at
                                                              Reh = 17000, the thermal effectiveness in case 2, case
                                                              3  are  higher  than  that  in  case  1  by  4.76%,  5.17%
                                                              respectively.
                                                                 5. CONCLUSION

                                                                 In this study, CFD simulations were conducted to
                 Fig.8. Effects of Reynolds numbers of the hot fluid   investigate  heat  transfer  process  in  a  double  pipe
               flow on mean Nusselt numbers of the hot fluid flow for   longitudinal fined heat exchanger with the aim to shed
                               the three cases                light  on  design  of  an  efficient  double  pipe  heat
                                                              exchanger. Longitudinal rectangular fins of inner pipe
                                                              were designed by changing the ratio of the fin height
                                                              to  the  thickness  of  the  space  between  the  two  pipes
                                                              (annulus) but must ensure that the heat transfer area of
                                                              the inner tube remained constant. These configurations
                                                              consist of case 1 (x =75%), case 2 (x=50%) and case 3
                                                              (x=37.5%)  respectively.  After  validating  the  CFD
                                                              predictions  using  analytical  data,  effects  of
                                                              longitudinal  rectangular  fin  geometric  parameters  on
                                                              temperature   distribution,   heat   transfer   rate,
                                                              effectiveness were studied. The main findings are:
                 Fig.9. Effects of Reynolds numbers of the hot fluid    - Temperature at outlet of the hot and cold fluid
                flow on mean Nusselt numbers of the cold fluid flow   flow increases with Reynolds numbers of the hot fluid
                              for the three cases             flow increases in all cases. The maximum temperature
                  C. Effectiveness                            at  outlet  of  the  cold  fluid  flow  for  case  1,  2,  3  are
                                                              294.55K,  294.62K,  294.63K  respectively  with  Reh  =
                                                              17000 and the minimum temperature at outlet of the
                                                              hot fluid flow for case 1, 2, 3 are 330.95K, 330.88K,
                                                              330.84K respectively with Reh = 5000. Additionally,
                                                              the hot and  cold fluid  flow  temperature and velocity
                                                              distribution are evenly distributed concentrically.
                                                                  -  Friction  coefficient  of  the  hot  fluid  flow
                                                              decreases with Reynolds numbers of the hot fluid flow
                                                              increases  in  all  cases.  For  Reh  <  9000,  the  friction
                                                              coefficient  of  the  hot  fluid  flow  in  case  3  has  the
                                                              largest value, but at Reh > 9000 the friction coefficient
                                                              of the hot fluid flow in case 3 has the smallest value in
                Fig.10. Effects of Reynolds numbers of the hot fluid   three cases.
                  flow on thermal effectiveness for the three cases   •  Mean  Nusselt  numbers  of  the  hot  fluid  flow
                  Fig. 10 shows effects of Reynolds numbers of the   increase with Reynolds numbers of the hot fluid flow
               hot  fluid  flow  on  thermal  effectiveness  for  the  three   increases in all cases, but mean Nusselt numbers of the
               cases.  It  can  be  seen  that  the  thermal  effectiveness   cold  fluid  flow  has  decreased  trend.  In  there,  the
               increases with Reynolds numbers of the hot fluid flow   Nu and  Nu of  case  1  have  smallest  value  in  three
               increases in all cases. This is because the increase of   h  c
               Reynolds numbers of the hot fluid flow leads to mean   cases. The  Nu and  Nu of case 1 have smallest value
                                                                                 c
                                                                          h
               heat  transfer  rate  Q  increases  while  maximum  mean   in  three  cases.  For  example,  at  Reh  =  17000,  Nu in
                                                                                                       h
               heat  transfer  rate  Qmax  remains  unchanged,  so  the   case 2, case 3 are higher than that in case 1 by 11.89%,
               thermal effectiveness increases (Based on Eq. (7)). As
               seen  in  Fig.  10,  the  maximum  thermal  effectiveness   6.16%  respectively,  and  Nu in  case  2,  case  3  are
                                                                                      c
               for  case  1,  2,  3  are  15.54%,  16.28%,  16.35%   higher  than  that  in  case  1  by  0.75%,  4.84%
               respectively  with  Reh  =  17000  and  the  minimum   respectively.
               thermal  effectiveness  for  case  1,  2,  3  are  12.92%,
               ISBN: 978-604-80-9779-0
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