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Numerical Simulation of Rarefied Gas Flows with Specified Heat Flux Boundary Conditions

Published online by Cambridge University Press:  03 June 2015

Jianping Meng ,
Yonghao Zhang  and
Jason M. Reese
Jianping Meng
Affiliation:
James Weir Fluids Laboratory, Department of Mechanical & Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom
Yonghao Zhang*
Affiliation:
James Weir Fluids Laboratory, Department of Mechanical & Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom
Jason M. Reese
Affiliation:
School of Engineering, University of Edinburgh, Edinburgh EH9 3JL, United Kingdom
*
*Corresponding author. Email addresses: jianping.meng@stfc.ac.uk (J. P. Meng), yonghao.zhang@strath.ac.uk (Y. H. Zhang), jason.reese@ed.ac.uk (J. M. Reese)
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Abstract

We investigate unidirectional rarefied flows confined between two infinite parallel plates with specified heat flux boundary conditions. Both Couette and force-driven Poiseuille flows are considered. The flow behaviors are analyzed numerically by solving the Shakhov model of the Boltzmann equation. We find that a zero-heat-flux wall can significantly influence the flow behavior, including the velocity slip and temperature jump at the wall, especially for high-speed flows. The predicted bimodal-like temperature profile for force-driven flows cannot even be qualitatively captured by the Navier-Stokes-Fourier equations.

Keywords

76P0582B40Thermal boundary conditionrarefied gas flowS modeldiscrete velocity method
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 5 , May 2015 , pp. 1185 - 1200
Copyright
Copyright © Global-Science Press 2015 

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