The velocity slip problem: Accurate solutions of the BGK model integral equation

DOI10.1016/j.euromechflu.2008.08.001zbMath1156.76438OpenAlexW1978032173MaRDI QIDQ1007810

S. K. Loyalka, R. V. Tompson

Publication date: 24 March 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.2008.08.001

zbMATH Keywords

Fredholm integral equationrarefied gas dynamicskinetic theory of gasesGauss-Kronrod quadraturessingularity subtraction techniqueAbramowitz functionsBGK model integral equationKramer's problemvelocity slip coefficient

Mathematics Subject Classification ID

Related Items (7)

Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow ⋮ Kramers' problem and the Knudsen minimum: a theoretical analysis using a linearized 26-moment approach ⋮ High frequency oscillatory flows in a slightly rarefied gas according to the Boltzmann–BGK equation ⋮ Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ Sphere oscillating in a rarefied gas ⋮ Flow generated by oscillatory uniform heating of a rarefied gas in a channel ⋮ High accuracy numerical solutions of the Boltzmann Bhatnagar-Gross-Krook equation for steady and oscillatory Couette flows

Cites Work

• Analytical methods for problems of molecular transport
• The temperature-jump problem for a variable collision frequency model
• Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients
• Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients
• Thermophoresis of a spherical particle in a rarefied gas of a transition regime
• Strong evaporation in half-space: Integral transport solutions for one-dimensional Bhatnagar–Gross–Krook model
• Some numerical results for the BGK model: Thermal creep and viscous slip problems with arbitrary accomodation at the surface
• Velocity profile in the Knudsen layer for the Kramer’s problem
• Motion of a sphere in a rarefied gas
• Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects
• Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas‐Wall Interactions
• Flow of a Rarefied Gas past an Axisymmetric Body. II. Case of a Sphere
• Unified solutions to classical flow problems based on the BGK model
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