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394    CHAPTER 17 GAS TURBINES




             FIGURE 17.13
                                                              Maximum
             Tes diagram for gas turbine cycle with reheat and heat  temperature    3    5
                                                        Temperature, T    Q 1       4        Q 2
             exchange.


                                                                              2’         6



                                                                             Heat
                                                                           exchange


                                                              2
                                                                             6’
                                                                                             Q 3


                                                             p 1
                                                             i
                                                                                      Entropy, S




                                                     T 3   T 2
                                                 ε ¼
                                                     T 5   T 2
                Hence

                                             T 3 ¼ T 2 þ εðT 5   T 2 Þ                   (17.27)
                                              ¼ T 2 ð1   εÞþ εT 5                        (17.28)

                                                                  1
                                      ¼ T 2 ð1   εÞþ εT 4 1   h T  1                     (17.29)
                                                                 s r
                But
                                                       1

                                           T 2 ¼ T 1 1 þ  ðs r   1Þ                      (17.30)
                                                      h C
                Giving

                                          1                               1
                             T 3 ¼ T 1  1 þ  ðs r   1Þ ð1   εÞþ εg 1   h T  1            (17.31)
                                         h C                             s r
                The energy addition


                                              q 34 ¼ c p T 4   T 3                       (17.32)
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