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Extended Thermodynamic Approach for Non-Equilibrium Gas Flow

Published online by Cambridge University Press:  03 June 2015

G. H. Tang ,
G. X. Zhai ,
W. Q. Tao ,
X. J. Gu  and
D. R. Emerson
G. H. Tang*
Affiliation:
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China
G. X. Zhai
Affiliation:
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China
W. Q. Tao
Affiliation:
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China
X. J. Gu
Affiliation:
Computational Science and Engineering Department, STFC Daresbury Laboratory, Warrington WA4 4AD, UK
D. R. Emerson
Affiliation:
Computational Science and Engineering Department, STFC Daresbury Laboratory, Warrington WA4 4AD, UK
*
Email:ghtang@mail.xjtu.edu.cn
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Abstract

Gases in microfluidic structures or devices are often in a non-equilibrium state. The conventional thermodynamic models for fluids and heat transfer break down and the Navier-Stokes-Fourier equations are no longer accurate or valid. In this paper, the extended thermodynamic approach is employed to study the rarefied gas flow in microstructures, including the heat transfer between a parallel channel andpressure-driven Poiseuille flows through a parallel microchannel andcircular microtube. The gas flow characteristics are studied and it is shown that the heat transfer in the non-equilibrium state no longer obeys the Fourier gradient transport law. In addition, the bimodal distribution of streamwise and spanwise velocity and temperature through a long circular microtube is captured for the first time.

Keywords

76P0582B40Non-equilibriummoment methodmicrochannelfriction coefficient
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 5 , May 2013 , pp. 1330 - 1356
Copyright
Copyright © Global Science Press Limited 2013

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