Kinetic theory based nonlinear treatment for motions of a binary gas mixture involving slightly strong evaporation and condensation processes - A system of macroscopic equations, the boundary conditions and the Knudsen-layer corrections

DOI10.1007/BF00913412zbMath0773.76061MaRDI QIDQ1201308

Yoshimoto Onishi

Publication date: 17 January 1993

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

small parameterasymptotic analysissingular perturbation methodmacroscopic equationsBhatnagar-Gross-Krook modeldiffusive boundary conditions

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (3)

Slow flows of a vapor-gas mixture with large density and temperature variations in the near-continuum regime ⋮ Vapor flows in the continuum limit in the presence of a small amount of noncondensable gas ⋮ Kinetic theory based nonlinear treatment for motions of a binary gas mixture involving slightly strong evaporation and condensation processes. II: A system of macroscopic equations, the boundary conditions and the Knudsen-layer corrections

Cites Work

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• On the behavior of a slightly rarefied gas mixture over plane boundaries
• The Boltzmann equation and its applications
• Kinetic Theory of Slightly Strong Evaporation and Condensation–Hydrodynamic Equation and Slip Boundary Condition for Finite Reynolds Number–
• Kinetic analysis of evaporation and condensation in a vapor-gas mixture
• The spherical-droplet problem of evaporation and condensation in a vapour-gas mixture
• A kinetic theory of steady condensation
• Velocity Slip Coefficient and the Diffusion Slip Velocity for a Multicomponent Gas Mixture
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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