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量子Lenoir循环有效功率的优化

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应用有限时间热力学和量子热力学理论,建立量子Lenoir热机循环模型,工质为囚禁于一维无限深势阱中的n个无相互作用的费米子.导出了循环的功率、无量纲功率、效率、有效功率的表达式,研究了势阱宽度比与热漏系数对无量纲功率、效率以及有效功率的影响.结果表明:热漏系数对无量纲功率没有影响,而效率和有效功率随热漏系数的增大而减小.在有效功率达到最大值时的效率,相较于无量纲功率最大时的效率提升了45.8%,但此时的无量纲功率却仅比最高值下降了13.6%.因此,以有效功率为优化目标时,系统可以在牺牲部分功率的情况下获得更高的效率,使循环的综合性能更优,研究结果为Lenoir热机的优化提供了一种新的设计方案.
Optimization of effective power of quantum Lenoir cycle
Based on the theory of finite time thermodynamics and quantum thermodynamics,a quantum Lenoir heat engine cycle model was established,and the working medium was n non-interacting fermions trapped in a one-dimensional infinite potential well.The expressions for power,dimensionless power,efficiency,and effective power of the cycle were derived.The study investigated the impact of the potential well width ratio and thermal leakage coefficient on dimensionless power,efficiency,and effective power.Results indicate that the thermal leakage coefficient does not affect dimensionless power,whereas efficiency and effective power decrease as the thermal leakage coefficient increases.At the point of maximum effective power,efficiency increases by 45.8%compared to the maximum dimensionless power,while the dimensionless power only decreases by 13.6%.Consequently,optimization based on effective power demonstrates that the system attains higher efficiency by sacrificing some power,achieving the optimal performance of the cycle.The research findings offer a novel design approach for optimizing the Lenoir heat engine.

finite time thermodynamicsLenoir cycleone-dimensional infinite potential welleffective power

尹博今、殷勇、魏轩宇、廖宇新、张敬帅

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武汉工程大学光电信息与能源工程学院、数理学院,湖北 武汉 430205

武汉工程大学热科学与动力工程研究所,湖北 武汉 430205

有限时间热力学 Lenoir循环 一维无限深势阱 有效功率

2024

武汉工程大学学报
武汉工程大学

武汉工程大学学报

影响因子:0.463
ISSN:1674-2869
年,卷(期):2024.46(6)