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
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
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.