4.7 Article

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

Journal

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 51, Issue 25-26, Pages 6018-6023

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2008.04.004

Keywords

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

Funding

  1. National Basic Research Program of China [2007CB206900]
  2. CRCG
  3. Research Grants Council of Hong Kong [HKU7049/06P]

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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. (C) 2008 Elsevier Ltd. All rights reserved.

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