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【摘要】 用有限时间热力学理论和方法研究基于有限活塞速度的内可逆卡诺热泵的循环性能,导出了牛顿传热规律下循环最佳供热率和供热系数与活塞速度比的解析关系式,发现供热率与供热系数呈抛物线关系,存在最大供热率及相应的供热系数,与没有考虑活塞速度影响的内可逆卡诺热泵的供热率与供热系数呈递减关系不同。同时通过数值计算分析了热源温比对最佳关系的影响。分析和优化中考虑了循环周期有无限制两种情况。 【Abstract】 Performance of an endoreversible Carnot heat pump cycle with finite speed of the piston is investigated by using finite time thermodynamics.The analytical formulae between the COP and speed ratio of the piston,as well as between the optimal heating load and speed ratio of the piston are derived.It is found that the heating load versus COP characteristic are parabolic-like,and there exist a maximum heating load and the corresponding COP.These are different from the monotonically decreasing characteristic of the endoreversible Carnot heat pump without considering the piston speed.At the same time,the effects of reservoir temperature ratio on the optimum relations are analyzed by numerical examples.In the analysis and optimization,two cases with and without limit of cycle period are included. 【关键词】 有限时间热力学; 往复式内可逆卡诺热泵循环; 供热率; 供热系数; 有限活塞速度 【Key words】 Finite time thermodynamics; Reciprocating endoreversible Carnot heat pump cycle; Heating load; COP; Finite speed of the piston