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3.4 REVERSED HEAT ENGINES          53




                                         Temperature, T  T  2  Q  3  T






                                                        -W
                                           T                       T
                                                  1              4
                                                         Q


                                                            Specific entropy, s
               FIGURE 3.18
               T–s diagram for reversed heat engine (refrigerator or heat pump) operating on reversed Carnot cycle.



                (a)                                         (b)
                             System boundary                             System boundary
                    Evaporator                                  Evaporator
                                    Expander        W                      Throttle
                                     turbine         Expander               valve

                        Q in                                        Q
                     Ice box         Condenser    Q out          Ice box         Condenser     Q


               W Pump          Pump                        W Pump          Pump


               FIGURE 3.19
               Schematic diagrams of refrigerator (or heat pump) (a) with expander turbine and (b) with throttle.


               expander turbine. In most small, domestic, refrigeration plants, the expander turbine is replaced with a
               throttle, as shown in Fig. 3.19(b). This modifies the T–s diagram for the refrigerator to that given in
               Fig. 3.20(a). Many refrigeration plants operate with subcooling of the working fluid that further
               modifies the cycle to that in Fig. 3.20(b).
                  As described in Section 2.7.1, thermal efficiency is not the correct parameter to define the ‘effi-
               ciency’ of a reversed cycle, and the parameter used in this case is the coefficient of performance, which
               is defined as

                                           Q C      Q C
                                       b ¼     ¼         ;  for a refrigerator
                                           W net  Q H   Q C
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