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Modeling of Navier-Stokes equations for high Knudsen number gas flows

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Title Modeling of Navier-Stokes equations for high Knudsen number gas flows
 
Creator DONGARI, N
AGRAWAL, A
 
Subject Knudsen diffusion
Micro-channel flow
Micro-capillary flow
Thermal transpiration
GASEOUS SLIP-FLOW
2 PARALLEL PLATES
THERMAL TRANSPIRATION
LONG MICROCHANNELS
RAREFIED-GAS
MOLECULES
CHANNELS
PIPES
 
Description The possibility of modeling the Navier-Stokes equations and together with the conventional second order slip boundary condition at high Knudsen numbers is explored in this paper by incorporating the Knudsen diffusion phenomenon in rarefied gases. An effective mean free path (MFP) model is augmented to the governing equation and the slip boundary condition, as gas transport properties can be related to the MFP. This simple modification is shown to implicitly take care of the complexities associated in the transitional flow regime, without necessitating dependency of the slip coefficients on the Knudsen number. Unique analytical model with fixed values of slip coefficients is proposed and rigorous comparisons with the experimental and simulation data for pressure driven and thermally driven rarefied gas flows support this conjecture. First and second order slip coefficients have been proposed as 1.1466 and 0.9756 for rectangular channels and 11466 and 0.14 for the capillaries, from the continuum to the transition flow regime. The current work is significant from the numerical simulation point of view because simulation tools are better developed for Navier-Stokes equations. (C) 2012 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2014-10-16T14:20:00Z
2014-10-16T14:20:00Z
2012
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 55(15-16)4352-4358
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.04.002
http://dspace.library.iitb.ac.in/jspui/handle/100/15768
 
Language en