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Abstract 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… Click to show full abstract
Abstract 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.
Keywords:
order approximations;
phase lag;
higher order;
heat conduction;
dual phase
Journal Title: International Journal of Thermal Sciences
Year Published: 2017
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Journal Title: International Journal of Thermal Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!