Chapman-Enskog solutions to arbitrary order in Sonine polynomials. IV: Summational expressions for the diffusion- and thermal conductivity-related bracket integrals

DOI10.1016/J.EUROMECHFLU.2009.05.002zbMath1176.76118OpenAlexW2045316608MaRDI QIDQ1043381

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

Publication date: 9 December 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.2009.05.002

zbMATH Keywords

diffusionBoltzmann equationthermal diffusionrarefied gas dynamicskinetic theory of gasesthermal conductivitybracket integralsChapman-Enskog solutionsomega integralsarbitrary gas mixturesSonine polynomialsthermal diffusion ratio

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (4)

\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 ⋮ Chapman-Enskog solutions to arbitrary order in Sonine polynomials. V: Summational expressions for the viscosity-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
• 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
• 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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