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Thermodynamic Extremum Principles for Nonequilibrium Stationary State in Heat Conduction

机译：导热非平衡稳态的热力学极值原理

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摘要

Minimum entropy production principle (MEPP) is an important variational principle for the evolution of systems to nonequilibrium stationary state. However, its restricted validity in the domain of Onsager's linear theory requires an inverse temperature square-dependent thermal conductivity for heat conduction problems. A previous derivative principle of MEPP still limits to constant thermal conductivity case. Therefore, the present work aims to generalize the MEPP to remove these nonphysical limitations. A new dissipation potential is proposed, the minimum of which thus corresponds to the stationary state with no restriction on thermal conductivity. We give both rigorous theoretical verification of the new extremum principle and systematic numerical demonstration through ID transient heat conduction with different kinds of temperature dependence of the thermal conductivity. The results show that the new principle remains always valid while MEPP and its derivative principle fail beyond their scopes of validity. The present work promotes a clear understanding of the existing thermodynamic extremum principles and proposes a new one for stationary state in nonlinear heat transport.
机译：最小熵产生原理（MEPP）是将系统演化为非平衡稳态的重要变分原理。但是，其在Onsager线性理论领域的有限有效性要求解决导热问题的温度平方反比导热系数。 MEPP先前的派生原理仍然限于恒定的热导率情况。因此，本工作旨在概括MEPP，以消除这些非物理的局限性。提出了一种新的耗散电势，因此其最小值对应于固定状态，而对热导率没有限制。我们对新的极值原理进行了严格的理论验证，并通过ID瞬态热传导以及不同类型的导热系数对系统进行了数值模拟。结果表明，新原理始终有效，而MEPP及其派生原理超出了其适用范围。本工作促进了对现有热力学极值原理的清楚理解，并提出了一种用于非线性传热中稳态的新方法。

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  • 来源
    《Journal of Heat Transfer》 |2017年第7期|071303.1-071303.7|共7页
  • 作者

    Yangyu Guo; Ziyan Wang; Moran Wang;

  • 作者单位

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China;

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China;

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    minimum entropy production principle; nonequilibrium stationary state; variational principle; nonlinear heat conduction;

    机译：最小熵产生原理非平衡稳态变分原理非线性热传导;

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