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对辐射传热条件下给定循环周期和输入能的内可逆热机最优构型进行了研究,利用最优控制理论得出了最大效率时热机的最优构型为8分支循环,其中包括2个等温分支、4个最大功率分支和2个绝热分支.利用泰勒级数展开的方法得出了各分支过程的时间和热源及工质温度的计算方法,并与牛顿传热规律和线性唯象传热规律下最大效率优化的结果,以及辐射传热条件下最大功率优化的结果进行了比较.
The optimal configuration of the endoreversible heat engine for a given cycle and input energy under radiative heat transfer conditions is studied. The optimal configuration of the heat engine is obtained by the optimal control theory. The optimal configuration of the heat engine is 8-branch cycle, including 2 One isothermal branch, four maximum power branches and two adiabatic branches. The method of Taylor series expansion was used to calculate the time, heat source and working fluid temperature of each branch process. The results were compared with Newton’s heat transfer law and linear phenomenology The results of maximum efficiency optimization under heat transfer and the results of maximum power optimization under radiative heat transfer are compared.