Dual-phase-lagging heat conduction based on Boltzmann transport equation

Mingtian Xu; Liqiu Wang

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Dual-phase-lagging heat conduction based on Boltzmann transport equation

机译：基于玻尔兹曼输运方程的双相滞后导热

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摘要

In this work, the dual-phase-lagging model of the microscale heat conduction is re-derived analytically from the Boltzmann transport equation. Based on this model, the delay/advanced partial differential equations governing the microscale heat conduction are established. The method of separation of variables is applied to solve such delay/ advanced partial differential equations. Finally, the oscillation of the microscale heat conduction is investigated.

机译：在这项工作中，从玻耳兹曼输运方程解析地推导了微尺度热传导的双相滞后模型。基于此模型，建立了控制微尺度热传导的延迟/高级偏微分方程。应用变量分离方法来求解此类延迟/高级偏微分方程。最后，研究了微尺度热传导的振荡。

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来源
《International Journal of Heat and Mass Transfer》 |2005年第26期|p.5616-5624|共9页
作者
Mingtian Xu; Liqiu Wang;
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作者单位

Forschungszentrum Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany;

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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
中图分类热力工程理论;热学;
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3. Numerical Method for Solving the Time-Fractional Dual-Phase-Lagging Heat Conduction Equation with the Temperature-Jump Boundary Condition [J] . Ji Cui-cui, Dai Weizhong, Sun Zhi-zhong Journal of Scientific Computing . 2018,第3期

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6. SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION [O] . Chaim L. Pekeris, Zipora Alterman 1957

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Dual-phase-lagging heat conduction based on Boltzmann transport equation

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