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

作　　者：SONG HanJiang CHEN LinGen SUN FengRui 

机构地区：[1]Postgraduate School,Naval University of Engineering,Wuhan 430033,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第9期1272-1286,共15页中国科学：物理学、力学、天文学（英文版）

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.Optimal configuration of a class of endoreversible heat engines with fixed duration, input energy and radiative heat transfer law (q ∝ Δ(T 4)) is determined. The optimal cycle that maximizes the efficiency of the heat engine is obtained by using optimal-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 phenomenological 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 

分 类 号：O551[理学—热学与物质分子运动论]