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不可逆两级组合热布朗热机的建模与性能优化

Modeling and Performance Optimization of an Irreversible Two-Stage Combined Thermal Brownian Heat Engine.

作者信息

Qi Congzheng, Ding Zemin, Chen Lingen, Ge Yanlin, Feng Huijun

机构信息

Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China.

School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China.

出版信息

Entropy (Basel). 2021 Mar 31;23(4):419. doi: 10.3390/e23040419.

Abstract

Based on finite time thermodynamics, an irreversible combined thermal Brownian heat engine model is established in this paper. The model consists of two thermal Brownian heat engines which are operating in tandem with thermal contact with three heat reservoirs. The rates of heat transfer are finite between the heat engine and the reservoir. Considering the heat leakage and the losses caused by kinetic energy change of particles, the formulas of steady current, power output and efficiency are derived. The power output and efficiency of combined heat engine are smaller than that of single heat engine operating between reservoirs with same temperatures. When the potential filed is free from external load, the effects of asymmetry of the potential, barrier height and heat leakage on the performance of the combined heat engine are analyzed. When the potential field is free from external load, the effects of basic design parameters on the performance of the combined heat engine are analyzed. The optimal power and efficiency are obtained by optimizing the barrier heights of two heat engines. The optimal working regions are obtained. There is optimal temperature ratio which maximize the overall power output or efficiency. When the potential filed is subjected to external load, effect of external load is analyzed. The steady current decreases versus external load; the power output and efficiency are monotonically increasing versus external load.

摘要

基于有限时间热力学,本文建立了一个不可逆联合热布朗热机模型。该模型由两个串联运行且与三个热库热接触的热布朗热机组成。热机与热库之间的热传递速率是有限的。考虑到热泄漏以及粒子动能变化引起的损失,推导了稳态电流、功率输出和效率的公式。联合热机的功率输出和效率小于在相同温度热库之间运行的单个热机的功率输出和效率。当势场无外部负载时,分析了势的不对称性、势垒高度和热泄漏对联合热机性能的影响。当势场无外部负载时,分析了基本设计参数对联合热机性能的影响。通过优化两个热机的势垒高度获得了最优功率和效率。得到了最优工作区域。存在使总功率输出或效率最大化的最优温度比。当势场受到外部负载作用时,分析了外部负载的影响。稳态电流随外部负载减小;功率输出和效率随外部负载单调增加。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0c2e/8065476/3cae932fb0b1/entropy-23-00419-g001.jpg

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