Numerical analysis of a flow induced in a rarefied gas between noncoaxial circular cylinders with different temperatures for the entire range of the Knudsen number

DOI10.1063/1.857463zbMath0661.76079OpenAlexW2040062291MaRDI QIDQ3811942

Yoshio Sone, Takeru Yano, Kazuo Aoki

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857463

zbMATH Keywords

rarefied gasdiffuse reflection boundary conditionlinearized Boltzmann-Krook-Welander equation

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) Basic methods in fluid mechanics (76M99)

Related Items (9)

Rarefied gas flow over an in-line array of circular cylinders ⋮ A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between two coaxial elliptic cylinders with different uniform temperatures ⋮ A comprehensive review on micro- and nano-scale gas flow effects: slip-jump phenomena, Knudsen paradox, thermally-driven flows, and Knudsen pumps ⋮ Application of the integro-moment method to steady-state two-dimensional rarefied gas flows subject to boundary induced discontinuities ⋮ A rarefied gas flow caused by a discontinuous wall temperature ⋮ Solution of the linearized problem of heat and gas mass transfer in the gap between two cylindrical surfaces under a longitudinal temperature gradient ⋮ Rarefied gas flow through a slit ⋮ One-way flow of a rarefied gas induced in a channel with a periodic temperature distribution ⋮ Quasistationary hydrodynamics for the Boltzmann equation.

Cites Work

• Kinetic Theory of Slightly Strong Evaporation and Condensation–Hydrodynamic Equation and Slip Boundary Condition for Finite Reynolds Number–
• On the equations of motion of a rarefied gas
• Comparison of Kinetic Theory Analyses of Linearized Couette Flow
• Steady gas flows past bodies at small Knudsen numbers
• Motion of a sphere in a rarefied gas
• Flow of a Rarefied Gas past an Axisymmetric Body. II. Case of a Sphere
• Erratum: Flow of Rarefied Gas through a Circular Pipe
• Some Boundary Value Problems in the Kinetic Theory of Gases
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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