线性唯象传热热机系统最大效率时的最优构型  

Optimal Configuration of Linear Phenomenological Heat Transfer Law Heat Engine System for Maximum Cycle Efficiency

作　　者：宋汉江[1] 陈林根[1] 李俊[1] 孙丰瑞[1] 王胜兵[1] 

机构地区：[1]海军工程大学研究生院,湖北武汉430033

出　　处：《应用基础与工程科学学报》2007年第2期244-250,共7页Journal of Basic Science and Engineering

基　　金：教育部新世纪优秀人才支持计划项目(NCET-04-1006);全国优秀博士学位论文作者专项资金资助项目(200136)

摘　　要：对内可逆热机在线性唯象传热条件下给定输入能和循环周期的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八分支结构,其中包括两个等温分支、四个最大效率分支和两个绝热分支.利用数值计算方法求解了最优构型,给出了数值算例,并与牛顿传热规律下最大效率的最优构型进行了比较.Optimal configuration of a class of endoreversible heat engines with fixed duration, input energy and linear phenomenological heat transfer law [q∝Δ（ T^-1） ] had been determined. The optimal cycle that maximized the efficiency of the engine had been obtained using optimalcontrol theory and numerical method. It was shown that the optimal cycle had eight branches including two isothermal branches, four maximum-efficiency branches and two adiabatic branches. The interval of each branch had been obtained, as well as the solutions of the temperatures of heat reservoirs and working fluid. A numerical example was given. The obtained results were compared with those obtained with the Newton＇ s heat transfer law [ q∝Δ （T） ] for maximum-efficiency objective.

关 键 词：线性唯象传热定律 内可逆热机 最优控制 最大效率 最优构型 广义热力学优化 

分 类 号：TK123[动力工程及工程热物理—工程热物理]