Page 40 - Advanced Gas Turbine Cycles
P. 40

Chapter 2.  Reversibility and availability      17
          The  maximum  (reversible) work  obtained from  the  'inner'  control  volume CV  is
        therefore equal to




          For a real  (irreversible) flow process through the control volume CV between fluid
        states X and Y (Fig. 2.4), with the sum heat rejected at temperature T([Q]i  = [Q,,]:),
        the work output is [Wcv];.  Heat [eo]: may also be transferred from CV directly to the
        environment at TO. From the steady-flow energy equation,



          The entropy flux from the control volume associated with the heat transfer is

                -+-,  [Qol!
                dQ
                       TO
        so the entropy increase across it is given by


                                                                           (2.17)
        The lost work due to irreversibility   within the control volume CV is

            fR  = r(wcv)REvl;  - Kwkvl;

                                T-To
                = Bx - BY - Ix (7)dQ - (WX HY) - [el: - [Qol:}
                                                 -

                                                                           (2.18)





















                        TO
                Fig. 2.4. Actual process with heat transfers at temperatures T and To (after Ref. [5]).
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