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

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• 作者：Sergey A. Rukolaine ^{rukol@ammp.ioffe.ru}
• 关键词：Heat conduction ; Dual-phase-lag model
• 刊名：International Journal of Thermal Sciences
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：113
• 期：Complete
• 页码：83-88
• 全文大小：550 K
• 卷排序：113

文摘

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.