Navier-Stokes computation of some gas mixture problems in the slip

Several kinetic descriptions have already been utilized for the simulation of rareed gas mixture ows. Although such developments are important, Navier-Stokes computation can nd extended use in engineering applications. Recently, the authors have derived new velocity-slip and temperature-jump boundary conditions for slip ows of gas mixtures. Appealing to these new boundary conditions, Navier-Stokes computation of rareed 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 ow regime. Applications include low pressure ow in a converging-diverging nozzle, wall-cooling of a nozzle under rareed 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