Numerical simulation of rarefied gas flows with specified heat flux boundary conditions

Jianping Meng; Yonghao Zhang; Jason M. Reese

doi:10.4208/cicp.2014.m343

Numerical simulation of rarefied gas flows with specified heat flux boundary conditions

Jianping Meng, Yonghao Zhang^*, Jason M. Reese

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1185-1200
Number of pages	16
Journal	Communications in computational physics
Volume	17
Issue number	5
DOIs	https://doi.org/10.4208/cicp.2014.m343
Publication status	Published - 3 Jun 2015

Keywords

thermal boundary condition
rarefied gas flow
S model
discrete velocity method
Boltzmann equation

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10.4208/cicp.2014.m343

MengEtAlCommComputPhys2015Accepted author manuscript, 410 KB

The First Open-Source Software for Non-Continuum Flows in Engineering
Reese, J. & Borg, M.
EPSRC
1/10/13 → 31/03/18
Project: Research
Non-Equilibrium Fluid Dynamics for Micro/Nano Engineering Systems
Reese, J., Lockerby, D. A., Emerson, D. R. & Borg, M.
1/01/11 → 16/02/16
Project: Project from a former institution

Cite this

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title = "Numerical simulation of rarefied gas flows with specified heat flux boundary conditions",

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 = "thermal boundary condition, rarefied gas flow, S model, discrete velocity method, Boltzmann equation",

author = "Jianping Meng and Yonghao Zhang and Reese, {Jason M.}",

year = "2015",

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doi = "10.4208/cicp.2014.m343",

language = "English",

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pages = "1185--1200",

journal = "Communications in computational physics",

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T1 - Numerical simulation of rarefied gas flows with specified heat flux boundary conditions

AU - Meng, Jianping

AU - Zhang, Yonghao

AU - Reese, Jason M.

PY - 2015/6/3

Y1 - 2015/6/3

N2 - 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.

AB - 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.

KW - thermal boundary condition

KW - rarefied gas flow

KW - S model

KW - discrete velocity method

KW - Boltzmann equation

U2 - 10.4208/cicp.2014.m343

DO - 10.4208/cicp.2014.m343

M3 - Article

VL - 17

SP - 1185

EP - 1200

JO - Communications in computational physics

JF - Communications in computational physics

SN - 1815-2406

IS - 5

ER -

Numerical simulation of rarefied gas flows with specified heat flux boundary conditions

Abstract

Keywords

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The First Open-Source Software for Non-Continuum Flows in Engineering

Non-Equilibrium Fluid Dynamics for Micro/Nano Engineering Systems

Cite this