Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas-Wall Interactions

Interest in some basic problems of linearized kinetic theory has been maintained over recent years by the possibility of applications to the micromachines and other devices with very tiny air gaps. These problems require accurate solutions of the Boltzmann equation under possibly various boundary conditions. Therefore, in the current paper, plane Poiseuille flow between parallel plates is investigated using a numerical technique that applies to the integral form of the Boltzmann equation. In order to gain a better insight into the role played by different boundary conditions on the flux in microchannels, the bulk velocity profiles of the gas are reported for Maxwell's scattering kernel as well as for Cercignani-Lampis's model.