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DELAYED THERMAL MODELS: STABILITY AND THERMODYNAMICS

机译:延迟热模型:稳定性和热力学

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摘要

In this article, for a rigid medium, we investigate the constitutive equations for the heat conduction given by a single and double phase-lag patterns, suggested by Tzou. Moreover, this research is extended to some Taylor expansions. Within this work, the thermodynamic compatibility of these systems is studied. In particular, we find that the models considered by Tzou are not in agreement with the laws of thermodynamics. We have observed that this compatibility can be proved for the first-order Taylor expansions of the SPL equation. In the following, we have investigated other models obtained by different order expansions of the phase lag patterns. Also, for these new differential systems we have studied the relationships between instability and thermodynamic incompatibility. Sufficient conditions for the onset of temperature instability are given. A uniqueness result for the ill-posed problem is obtained.
机译:在本文中,对于刚性介质,我们研究了由Tzou提出的单相和双相滞后模式给出的热传导本构方程。而且,这项研究扩展到某些泰勒展开式。在这项工作中,研究了这些系统的热力学兼容性。特别是,我们发现Tzou考虑的模型与热力学定律不一致。我们已经观察到,对于SPL方程的一阶泰勒展开式可以证明这种兼容性。在下文中,我们研究了通过相位滞后模式的不同阶数展开获得的其他模型。同样,对于这些新的差分系统,我们研究了不稳定性与热力学不相容性之间的关系。给出了引起温度不稳定的充分条件。获得不适定问题的唯一性结果。

著录项

  • 来源
    《Journal of thermal stresses》 |2014年第3期|160-173|共14页
  • 作者

    Mauro Fabrizio; Franca Franchi;

  • 作者单位

    Department of Mathematics, University of Bologna, Bologna, Italy,Department of Mathematics, Piazza di Porta San Donato 5, Bologna 40126, Italy;

    Department of Mathematics, University of Bologna, Bologna, Italy;

  • 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

    Heat conduction; Phase-lag; Stability; Thermodynamics;

    机译:导热;相位滞后稳定性;热力学;

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