Chapman-Enskog solutions to arbitrary order in Sonine polynomials. III: Diffusion, thermal diffusion, and thermal conductivity in a binary, rigid-sphere, gas mixture

DOI10.1016/J.EUROMECHFLU.2008.12.002zbMath1167.76363OpenAlexW1973926151MaRDI QIDQ837951

E. L. Tipton, S. K. Loyalka, R. V. Tompson

Publication date: 21 August 2009

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2008.12.002

zbMATH Keywords

diffusionBoltzmann equationthermal diffusionrarefied gas dynamicskinetic theory of gasesthermal conductivitybinary gas mixturebracket integralsChapman-Enskog solutionsomega integralsrigid-sphere gassonine polynomialsthermal-diffusion ratio

Mathematics Subject Classification ID

Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (5)

Microscopic hydrodynamic modes in a binary hard sphere mixture ⋮ Recurrence relations between kernels of the nonlinear Boltzmann collision integral ⋮ \texttt{Maple} code for the calculation of the matrix elements of the Boltzmann collision operators for mixtures ⋮ Chapman-Enskog solutions to arbitrary order in Sonine polynomials. V: Summational expressions for the viscosity-related bracket integrals ⋮ Chapman-Enskog solutions to arbitrary order in Sonine polynomials. IV: Summational expressions for the diffusion- and thermal conductivity-related bracket integrals

Cites Work

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• Chapman-Enskog solutions to arbitrary order in Sonine polynomials. II: Viscosity in a binary, rigid-sphere, gas mixture
• Analytical methods for problems of molecular transport
• Boundary slip phenomena in a binary gas mixture
• Some solutions (linear in the spatial variables) and generalized Chapman--Enskog functions basic to the linearized Boltzmann equations for a binary mixture of rigid spheres
• SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTION
• Velocity Slip Coefficient and the Diffusion Slip Velocity for a Multicomponent Gas Mixture

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