Page 503 - Mechanical Engineers' Handbook (Volume 4)
P. 503

492   Cryogenic Systems



































                          Figure 26 End correction for regenerator heat-transfer calculation using symmetrical cycle theory 27
                          (Courtesy Plenum Press):
                                                    4HS(T   T )
                                                      0  c   w    reduced length
                                                       c
                                                      c
                                                     CT   CT w
                                                            w
                                                    12H (T   T )
                                                       0  c  w    reduced period
                                                        c  d
                                                         s
                                                U
                                                    1 1
                                                          0.1d
                                                 0
                                                    4 h    k
                          where T w , T c   switching times of warm and cold streams, respectively, hr
                                 S   regenerator surface area, m 2
                                                                                   2
                                 U 0   overall heat transfer coefficient uncorrected for hysteresis, kcal/m  hr  C
                                 U   overall heat transfer coefficient
                              C w , C c   heat capacity of warm and cold stream, respectively, kcal/hr  C
                                  c   specific heat of packing, kcal/kg  C
                                 d   particle diameter, m
                                   s   density of solid, kg/m 3
                             Cryogenic heat exchangers often are called on to condense or evaporate and two-phase
                          heat-transfer commonly occurs, sometimes on both sides of a given heat exchanger. Heat-
                          transfer coefficients and flow pressure losses are calculated using correlations taken from
                          high-temperature data. The distribution of multiphase processing streams into parallel chan-
                                           29
                          nels is, however, a common and severe problem in cryogenic processing. In heat exchangers
                          thousands of parallel paths may exist. Thus the designer must ensure that all possible paths
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