Navier-Stokes computation of some gas mixture problemsin the slip flow regime

Several kinetic descriptions have already been utilized for the simulation of rarefied gas mixture flows. Although such developments are important, Navier-Stokes computation can find extended use in engineering applications. Recently, the authors have derived new velocity-slip and temperature-jump boundary conditions for slip flows of gas mixtures. Appealing to these new boundary conditions, Navier-Stokes computation of rarefied gas mixture problems has become feasible.In the present contribution, the proposed conditions in conjunction with the Navier-Stokes equations and an equation for the conservation of species are solved for some binary gas mixture problems in the slip flow regime. Applications include low pressure flow in a converging-diverging nozzle, wall-cooling of a nozzle under rarefied condition, and parallel mixing in a microchannel. Simulation results are presented in terms of the distributions of overall Knudsen number, Mach number, pressure, temperature, and concentration.