Chapman-Enskog solutions to arbitrary order in Sonine polynomials. V: Summational expressions for the viscosity-related bracket integrals

DOI10.1016/J.EUROMECHFLU.2009.10.002zbMath1193.76125OpenAlexW1990896498MaRDI QIDQ990033

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

Publication date: 2 September 2010

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.2009.10.002

zbMATH Keywords

Boltzmann equationviscosityrarefied gas dynamicskinetic theory of gasesbracket integralsChapman-Enskog solutionsomega integralsarbitrary gas mixturesSonine polynomials

Mathematics Subject Classification ID

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

Related Items (3)

\textsc{Peng}: a program for transport properties of low-density binary gas mixtures ⋮ 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

Cites Work

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• Chapman-Enskog solutions to arbitrary order in Sonine polynomials. II: Viscosity in a binary, rigid-sphere, gas mixture
• Chapman-Enskog solutions to arbitrary order in Sonine polynomials. III: Diffusion, thermal diffusion, and thermal conductivity in a binary, rigid-sphere, gas mixture
• Analytical methods for problems of molecular transport
• Chapman-Enskog solutions to arbitrary order in Sonine polynomials. IV: Summational expressions for the diffusion- and thermal conductivity-related bracket integrals
• Boundary slip phenomena in a binary gas mixture
• 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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