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Garcia, R. D. M.; Siewert, C. E.

The viscous-slip, diffusion-slip, and thermal-creep problems for a binary mixture of rigid spheres described by the linearized Boltzmann equation. (English) Zbl 1152.76462

Eur. J. Mech., B, Fluids 26, No. 6, 749-778 (2007).
Summary: An analytical version of the discrete-ordinates method (the ADO method) is used with recently established analytical expressions for the rigid-sphere scattering kernels to develop concise and particularly accurate solutions to the viscous-slip, the diffusion-slip, and the half-space thermal-creep problems for a binary gas mixture described by the linearized Boltzmann equation. In addition to a computation of the viscous-slip, the diffusion-slip, and the thermal-slip coefficients, for the case of Maxwell boundary conditions for each of the two species, the velocity, heat-flow, and shear-stress profiles are established for each species of particles. Numerical results are reported for two binary mixtures (Ne-Ar and He-Xe) with various molar concentrations.

Cited in 6 Documents

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics

Keywords:

rarefied gas dynamics; binary mixtures; rigid spheres; viscous slip; thermal creep; linearized Boltzmann equation

Software:

LINPACK; EISPACK
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Full Text: DOI

References:

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