Volume 13, Issue 5
Extended Thermodynamic Approach for Non-Equilibrium Gas Flow

G H. Tang, G. X. Zhai, W. Q. Tao, X. J. Gu & D. R. Emerson

Commun. Comput. Phys., 13 (2013), pp. 1330-1356.

Published online: 2013-05

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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 and pressure-driven Poiseuille flows through a parallel microchannel and circular 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.

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@Article{CiCP-13-1330, author = {}, title = {Extended Thermodynamic Approach for Non-Equilibrium Gas Flow}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {5}, pages = {1330--1356}, 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 and pressure-driven Poiseuille flows through a parallel microchannel and circular 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301011.180512a}, url = {http://global-sci.org/intro/article_detail/cicp/7277.html} }
TY - JOUR T1 - Extended Thermodynamic Approach for Non-Equilibrium Gas Flow JO - Communications in Computational Physics VL - 5 SP - 1330 EP - 1356 PY - 2013 DA - 2013/05 SN - 13 DO - http://doi.org/10.4208/cicp.301011.180512a UR - https://global-sci.org/intro/article_detail/cicp/7277.html KW - AB -

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 and pressure-driven Poiseuille flows through a parallel microchannel and circular 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.

G H. Tang, G. X. Zhai, W. Q. Tao, X. J. Gu & D. R. Emerson. (2020). Extended Thermodynamic Approach for Non-Equilibrium Gas Flow. Communications in Computational Physics. 13 (5). 1330-1356. doi:10.4208/cicp.301011.180512a
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