Generalized heat conduction model in moving media emanating from Boltzmann Transport Equation

•A generalized heat conduction for moving media is derived.•The proposed model achieves Galilean invariance in all the inertial frameworks.•Fundamental physics of the heat conduction process in moving media is illustrated from Boltzmann Transport Equation. In this work, we start with several concern...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2018-04, Vol.119, p.148-151
Main Authors: Xue, Tao, Zhang, Xiaobing, Tamma, Kumar K.
Format: Article
Language:English
Subjects:
Boltzmann Transport Equation
Conduction heating
Conduction model
Conductive heat transfer
Emission
Flow control
Generalized heat conduction
Heat conductivity
Heat transfer
Mathematical analysis
Moving media
Transport equations
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Summary:•A generalized heat conduction for moving media is derived.•The proposed model achieves Galilean invariance in all the inertial frameworks.•Fundamental physics of the heat conduction process in moving media is illustrated from Boltzmann Transport Equation. In this work, we start with several concerns regarding Galilean variance, pointed out by Christov and Jordan (2005), of the Cattaneo-Vernotte heat conduction in moving media. We then describe a generalized heat transport model in moving media and its underlying theory emanating from the Boltzmann Transport Equation, which achieves the Galilean invariance in all the inertial frameworks. The resulting model recovers heat transport characteristics of different scales with respect to both space (from ballistic to diffusive limits) and time (from finite to infinite heat propagation speeds).
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2017.11.078