NUMERICAL-ANALYSIS OF THE SHEAR AND THERMAL CREEP FLOWS OF A RAREFIED-GAS OVER THE PLANE WALL OF A MAXWELL-TYPE BOUNDARY ON THE BASIS OF THE LINEARIZED BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES

Citation
M. Wakabayashi et al., NUMERICAL-ANALYSIS OF THE SHEAR AND THERMAL CREEP FLOWS OF A RAREFIED-GAS OVER THE PLANE WALL OF A MAXWELL-TYPE BOUNDARY ON THE BASIS OF THE LINEARIZED BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES, European journal of mechanics. B, Fluids, 15(2), 1996, pp. 175-201
Citations number
41
Categorie Soggetti
Mechanics
ISSN journal
09977546
Volume
15
Issue
2
Year of publication
1996
Pages
175 - 201
Database
ISI
SICI code
0997-7546(1996)15:2<175:NOTSAT>2.0.ZU;2-B
Abstract
Shear flow and thermal creep flow (how induced by the temperature grad ient along the boundary wall) of a rarefied gas over a plane wall are considered on the basis of the linearized Boltzmann equation for hard- sphere molecules and the Maxwell-type boundary condition. The problems are analyzed numerically by the finite difference method developed in Ohwada T. et al., Phys. Fluids A, 1, 1588-1599 (1989). The velocity d istribution functions, as well as the slip coefficients and the Knudse n-layer structures of the macroscopic variables, are obtained accurate ly for the whole range of the accommodation coefficient.