Abstract

A diffusion problem in a gaseous dilute solution in a steady state with both temperature and velocity gradients is studied. The results are obtained from the Gross-Krook model [Phys. Rev. 102, 593 (1956)] of the Boltzmann equation for a binary mixture. A perturbation expansion around a nonequilibrium state with both arbitrary velocity and temperature gradients is applied to get the diffusion tensor of the solute particles. This tensor is given in terms of the shear rate, the mass ratio, and the force constant ratio. In addition, the velocity distribution function corresponding to the tracer species is explicitly written.

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