Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 55, Issue 4, Pages 1291-1303Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2011.09.012
Keywords
Kinetic theory of gases; Rarefied gas flow; Poiseuille flow; Annular micro-channel; Knudsen boundary layer; Grad's moment method
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Funding
- Natural Sciences and Engineering Research Council (NSERC)
- Laboratory for Alternative Energy Conversion (LAEC) at Simon Fraser University
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In this study, rarefaction effects in pressure-driven gas flows in annular micro-channels are investigated. The influence of gas rarefaction, aspect ratio of the annulus, and surface accommodation coefficient on wall friction, mass flow rate, and thermal energy flow rate is studied. For this, the linearized Navier-Stokes-Fourier (NSF) and regularized 13-moment (R13) equations are solved analytically. The results are compared to available solutions of the Boltzmann equation to highlight the advantages of the R13 over the NSF equations in describing rarefaction effects in the process. Moreover, a second-order slip boundary condition is proposed to improve the accuracy of the classical NSF equations. (c) 2011 Elsevier Ltd. All rights reserved.
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