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The Burnett equations in cylindrical coordinates and their solution for flow in a microtube

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Title The Burnett equations in cylindrical coordinates and their solution for flow in a microtube
 
Creator SINGH, N
AGRAWAL, A
 
Subject micro-/nano fluid dynamics
non-continuum effects
rarefied gas flow
PLANE POISEUILLE FLOW
NAVIER-STOKES
GAS-FLOW
TRANSITION REGIME
RAREFIED-GAS
COUETTE-FLOW
MICROCHANNEL
REGULARIZATION
HYDRODYNAMICS
SIMULATIONS
 
Description The Burnett equations constitute a set of higher-order continuum equations. These equations are obtained from the Chapman-Enskog series solution of the Boltzmann equation while retaining second-order-accurate terms in the Knudsen number Kn. The set of higher-order continuum models is expected to be applicable to flows in the slip and transition regimes where the Navier-Stokes equations perform poorly. However, obtaining analytical or numerical solutions of these equations has been noted to be particularly difficult. In the first part of this work, we present the full set of Burnett equations in cylindrical coordinates in three-dimensional form. The equations are reported in a generalized way for gas molecules that are assumed to be Maxwellian molecules or hard spheres. In the second part, a closed-form solution of these equations for isothermal Poiseuille flow in a microtube is derived. The solution of the equations is shown to satisfy the full Burnett equations up to Kn
 
Publisher CAMBRIDGE UNIV PRESS
 
Date 2014-12-28T12:06:07Z
2014-12-28T12:06:07Z
2014
 
Type Article
 
Identifier JOURNAL OF FLUID MECHANICS, 751121-141
0022-1120
1469-7645
http://dx.doi.org/10.1017/jfm.2014.290
http://dspace.library.iitb.ac.in/jspui/handle/100/16437
 
Language English