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Optimal configuration of a class of endoreversible heat engines for maximum efficiency with radiative heat transfer law

查看全文 作  者:SONG [1]HanJiang;CHEN [1]LinGen;SUN [1]FengRui 高影响力作者 机构地区:[1]Postgraduate School,Naval University of Engineering,Wuhan 430033,China高影响力机构 出  处:《Science China(Physics,Mechanics & Astronomy)》索引2008年第51卷第9期,共15页高影响力期刊 基  金:the Program for New Century Excellent Talents in University of China (Grant No 20041006);the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200136) 摘  要:Optimal configuration of a class of endoreversible heat engines with fixed duration,input energy and radiative heat transfer law (q∝Δ(T4)) is determined. The optimal cycle that maximizes the efficiency of the heat engine is obtained by using opti-mal-control theory,and the differential equations are solved by the Taylor series expansion. It is shown that the optimal cycle has eight branches including two isothermal branches,four maximum-efficiency branches,and two adiabatic branches. The interval of each branch is obtained,as well as the solutions of the temperatures of the heat reservoirs and the working fluid. A numerical example is given. The obtained results are compared with those obtained with the Newton’s heat transfer law for the maximum efficiency objective,those with linear phe-nomenological heat transfer law for the maximum efficiency objective,and those with radiative heat transfer law for the maximum power output objective. 关 键 词:RADIATIVE HEAT transfer LAW ENDOREVERSIBLE HEAT engine OPTIMAL control theory OPTIMAL configuration gen-eralized THERMODYNAMIC optimization
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