The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: basic flow problems in a plane channel

DOI10.1016/j.euromechflu.2008.12.001zbMath1167.76360OpenAlexW2123527246MaRDI QIDQ837952

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

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.2008.12.001

zbMATH Keywords

rarefied gas dynamicspoiseuille flowlinearized Boltzmann equationthermal-creep flowCercignani-Lampis boundary conditioncouette flow

Mathematics Subject Classification ID

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

Related Items (13)

Rarefied gas flow around a sharp edge induced by a temperature field ⋮ A fast spectral method for the Boltzmann equation for monatomic gas mixtures ⋮ Solution of the problem of the Couette flow for a Fermi gas with almost specular boundary conditions ⋮ Regularity of Boltzmann Equation with Cercignani--Lampis Boundary in Convex Domain ⋮ Local well-posedness of Vlasov-Poisson-Boltzmann equation with generalized diffuse boundary condition ⋮ Heat transfer through rarefied gases between coaxial cylindrical surfaces with arbitrary temperature difference ⋮ Assessment and development of the gas kinetic boundary condition for the Boltzmann equation ⋮ Simulation of transport processes in the Couette flow problem under incomplete accommodation of the tangential momentum of gas molecules by channel walls ⋮ Cercignani-Lampis boundary in the Boltzmann theory ⋮ Numerical simulation of microflows using moment methods with linearized collision operator ⋮ Viscous-slip, thermal-slip, and temperature-jump coefficients based on the linearized Boltzmann equation (and five kinetic models) with the Cercignani-Lampis boundary condition ⋮ Continuum analysis of rarefaction effects on a thermally induced gas flow ⋮ Symmetry of the linearized Boltzmann equation and its application

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