Analytical solution of the velocity-slip and diffuslon-slip problems by a cauchy integral method

DOI10.1080/00411458808230879zbMath0667.76118OpenAlexW2017363763MaRDI QIDQ3820283

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Publication date: 1988

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458808230879

zbMATH Keywords

Riemann-Hilbert probleminverse Laplace transformationkinetic theory of gasesBoltzmann collision operatorbinary gas mixtureWiener-Hopf integral equationsone-dimensional boundary value problemsCauchy integral method(Bhatnagar-Gross-Krook) modelCI methoddiffusion slip problemssingular eigenfunctions expansions methods

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Partial differential equations of mathematical physics and other areas of application (35Q99) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall

Cites Work

• Elementary solutions of the transport equation and their applications
• A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis
• An analytical expression for the H-matrix relevant to Rayleigh scattering
• Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem
• Comparison of Kinetic Theory Analyses of Linearized Couette Flow
• Constructive solution of the linearized Boltzmann equation. Scalar BGK model equation
• 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
• Analytic solution of the temperature jump problem for the BGK model
• Boundary-value problems in the kinetic theory of gases Part I. Slip flow
• Model Dependence of the Slip Coefficient
• Some Boundary Value Problems in the Kinetic Theory of Gases
• Integral equations on a half-line with kernel depending upon the difference of the arguments
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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