The McCormack model for gas mixtures: Plane Couette flow

An analytical version of the discrete-ordinates method is used to establish a concise and particularly accurate solution to the problem of plane Couette flow for a binary gas mixture described by the McCormack kinetic model. The solution yields, for the general sspecular-diffused case of Maxwell boundary conditions for each of the two species, the velocity, heat-flow, and shear-stress profiles for both types of particles, as well as the particle-flow and heat-flow rates associated with each of the two species of gas particles. Highly accurate numerical results are reported for the case of a helium–argon mixture confined between molybdenum and tantalum plates. The algorithm is considered especially easy to use, and the developed sFORTRANd code requires typically less than a second on a 2.2 GHz Pentium 4 machine to compute all quantities of interest with at least five figures of accuracy. © 2005 American Institute of Physics. fDOI: 10.1063/1.1845911g