From Boltzmann transport equation to single-phase-lagging heat conduction

Lin Cheng; Mingtian Xu; Liqiu Wang

doi:10.1016/j.ijheatmasstransfer.2008.04.004

From Boltzmann transport equation to single-phase-lagging heat conduction

Lin Cheng, Mingtian Xu, Liqiu Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

51 Citations (Scopus)

Abstract

In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media. Based on this model, the governing equation of the microscale heat conduction is established, which is formulated into a delay partial differential equation. The corresponding initial and boundary conditions are prescribed. The thermal oscillation of the single-phase-lagging heat conduction is investigated.

Original language	English
Pages (from-to)	6018-6023
Number of pages	6
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	25-26
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2008.04.004
Publication status	Published - Dec 2008
Externally published	Yes

Keywords

Boltzmann transport equation
Microscale heat conduction
Single-phase-lagging heat conduction
Thermal oscillation

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

More information

10.1016/j.ijheatmasstransfer.2008.04.004

Cite this

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abstract = "In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media. Based on this model, the governing equation of the microscale heat conduction is established, which is formulated into a delay partial differential equation. The corresponding initial and boundary conditions are prescribed. The thermal oscillation of the single-phase-lagging heat conduction is investigated.",

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author = "Lin Cheng and Mingtian Xu and Liqiu Wang",

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AU - Xu, Mingtian

AU - Wang, Liqiu

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N2 - In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media. Based on this model, the governing equation of the microscale heat conduction is established, which is formulated into a delay partial differential equation. The corresponding initial and boundary conditions are prescribed. The thermal oscillation of the single-phase-lagging heat conduction is investigated.

AB - In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media. Based on this model, the governing equation of the microscale heat conduction is established, which is formulated into a delay partial differential equation. The corresponding initial and boundary conditions are prescribed. The thermal oscillation of the single-phase-lagging heat conduction is investigated.

KW - Boltzmann transport equation

KW - Microscale heat conduction

KW - Single-phase-lagging heat conduction

KW - Thermal oscillation

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U2 - 10.1016/j.ijheatmasstransfer.2008.04.004

DO - 10.1016/j.ijheatmasstransfer.2008.04.004

M3 - Journal article

AN - SCOPUS:55549097425

SN - 0017-9310

VL - 51

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EP - 6023

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 25-26

ER -

From Boltzmann transport equation to single-phase-lagging heat conduction

Abstract

Keywords

ASJC Scopus subject areas

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