Unphysical effects of the dual-phase-lag model of heat conduction: higher-order approximations

被引：35
|
作者：
Rukolaine, Sergey A. [1 ]
机构：
[1] Ioffe Inst, 26 Polytekhnicheskaya, St Petersburg 194021, Russia
来源：
INTERNATIONAL JOURNAL OF THERMAL SCIENCES | 2017年 / 113卷
关键词：
Heat conduction; Dual-phase-lag model; STABILITY;
D O I：
10.1016/j.ijthermalsci.2016.11.016
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Two models of heat conduction, based on higher-order approximations to the dual-phase-lag constitutive relation, are considered. Initial value problems for equations, describing the models, are studied. Stable solutions to the problems manifest clear unphysical behavior with negative values of temperature. This implies that the equations cannot serve as appropriate models of heat conduction. (C) 2016 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：83 / 88
页数：6
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