具有热阻、热漏和内不可逆性的联合卡诺热机生态学优化

Ecological optimization of a universal combined Carnot power engine with finite-rate heat transfer,heat leakage and internal irreversibility

用有限时间热力学的方法分析具有热阻、热漏、内不可逆性的定常流联合卡诺型热机循环.导出了在傅立叶导热定律下联合循环功率、效率和生态学指标的性能,并进行优化;得到功率、效率和生态学指标之间的优化关系,并由数值计算分析了功率、效率和循环熵产率之间的关系.所得的结果表明,最大生态学指标下的效率十分接近于联合循环可以达到的最大效率;相应的熵产率也要低于以输出功率为优化目标时的熵产率.

This paper analyzed and optimized the power output, efficiency and ecological criterion of a universal irreversible combined Carnot cycle by using finite-time thermodynamics. The analytical formulae about power, efficiency and ecological criterion of irreversible combined Carnot heat engine cycle were derived under the linear heat transfer law. And the relations between optimal output powers, optimal efficiency and optimal ecological criterionare were studied by detailed numerical examples. The result indicates that the corresponding efficiency under the maximized ecological criterion is very close to the theoretic maximized efficiency the mode can get; and the corresponding entropy generation is lower than the corresponding entropy generation under maximized output power.