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用有限时间热力学理论和方法,建立了恒温热源条件中冷回热式不可逆空气制冷机模型,研究其有限时间经济性能,导出了利润率解析式。用数值算例分析了利润率与压比;利润率与换热器、回热器及中冷器侧的热导率分配的关系。通过优化中间压比及总压比,得到最优压比条件下的最大经济性能;优化高、低温换热器及中冷器侧的热导率分配,得最优热导率分配条件下的最大经济性能。对以上5个变量同时优化,可得双重最大经济性能。通过数值计算还分析了其他参数对利润率与压比、利润率与热导率分配关系的影响。通过价格比,将有限时间经济性能目标与制冷率、熵产率及生态学目标建立了联系。
With the theory and method of finite-time thermodynamics, the model of cold-recuperative irreversible air refrigerator in constant temperature and heat source condition is established, the finite time and economic performance is studied, and the analytic formula of profit rate is derived. The numerical example is used to analyze the relationship between profitability and pressure ratio. The relationship between profitability and thermal conductivity distribution on the heat exchanger, regenerator and intercooler is discussed. By optimizing the middle pressure ratio and the total pressure ratio, the maximum economic performance under optimal pressure ratio is obtained. The optimal thermal conductivity distribution is optimized for the high and low temperature heat exchangers and the intercooler. The maximum economic performance. The above five variables simultaneously optimized, can be double maximum, economic performance. The effects of other parameters on the distribution of profit and pressure ratio, profit rate and thermal conductivity were also analyzed by numerical calculation. Through the price ratio, the objective of economic performance is related to the cooling rate, entropy yield rate and ecological goal.