Page 128 - Mechanical Engineers' Handbook (Volume 4)
P. 128

Mechanical Engineers’ Handbook:  Energy and Power, Volume 4, Third Edition.





                                                                                     Edited by Myer Kutz


                                                                   Copyright   2006 by John Wiley & Sons, Inc.





                           CHAPTER 4
                           EXERGY ANALYSIS, ENTROPY
                           GENERATION MINIMIZATION,
                           AND CONSTRUCTAL THEORY
                           Adrian Bejan
                           Department of Mechanical Engineering and Materials Science
                           Duke University
                           Durham, North Carolina

                           1  INTRODUCTION                118    6  STORAGE SYSTEMS             129
                           2  EXERGY ANALYSIS             120    7  SOLAR ENERGY
                                                                    CONVERSION                  130
                           3  ENTROPY GENERATION
                             MINIMIZATION                 124    8  POWER PLANTS                131
                           4  CRYOGENICS                  126    9  CONSTRUCTAL THEORY          133
                           5  HEAT TRANSFER               127       REFERENCES                  143




            1   INTRODUCTION
                           In this chapter, we review three methods that account for much of the newer work in engi-
                           neering thermodynamics and thermal design and optimization. The method of exergy analysis
                           rests on thermodynamics alone. The first law, the second law, and the environment are used
                           simultaneously to determine (1) the theoretical operating conditions of the system in the
                           reversible limit and (2) the entropy generated (or exergy destroyed) by the actual system,
                           that is, the departure from the reversible limit. The focus is on analysis. Applied to the
                           system components individually, exergy analysis shows us quantitatively how much each
                           component contributes to the overall irreversibility of the system. 1,2
                              Entropy generation minimization (EGM) is a method of modeling and optimization. The
                           entropy generated by the system is first developed as a function of the physical characteristics
                           of the system (dimensions, materials, shapes, constraints). An important preliminary step is
                           the construction of a system model that incorporates not only the traditional building blocks
                           of engineering thermodynamics (systems, laws, cycles, processes, interactions), but also the
                           fundamental principles of fluid mechanics, heat transfer, mass transfer and other transport
                           phenomena. This combination makes the model ‘‘realistic’’ by accounting for the inherent
                                                                                                  )
                           irreversibility of the actual device. Finally, the minimum entropy generation design (S gen,min
                                                                                      ) to the limit of
                           is determined for the model, and the approach of any other design (S gen
                                                         is monitored in terms of the entropy generation num-
                           realistic ideality represented by S gen,min
                                  S   /S      1.
                           ber N S
                                    gen  gen,min
                                            and minimize it, the analyst does not need to rely on the concept of
                              To calculate S gen
                           exergy. The EGM method represents an important step beyond thermodynamics. It is a self-
                           standing method that combines thermodynamics, heat transfer, and fluid mechanics into a
                                        3
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