Hydrodynamic interaction of two unequal-sized spheres in a slightly rarefied gas: resistance and mobility functions

DOI10.1017/S0022112089002612zbMath0687.76079OpenAlexW2108330235MaRDI QIDQ4206503

Ruoxian Ying, Michael H. Peters

Publication date: 1989

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112089002612

zbMATH Keywords

Stokes equationsslightly rarefied gasLamb's solutionstick boundary conditions`slip' boundary conditionsHilbert regionhydrodynamic interaction of two unequal-sized sphereslinearized BGKW transport equationsingular perturbation schemetwin multipole expansion method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Basic methods in fluid mechanics (76M99)

Related Items (4)

Thermophoretic motion of an aerosol sphere in a spherical cavity ⋮ Analytical (perturbation) solution to the problem of free-molecule gas flows in two-body systems: Results for flows over two unequal-size cylinders ⋮ Drag force on spherical particle moving near a plane wall in highly rarefied gas ⋮ Non-continuum tangential lubrication gas flow between two spheres

Cites Work

• Asymmetrical slow viscous fluid motions caused by the translation or rotation of two spheres. I: The determination of exact solutions for any values of the ratio of radii and separation parameters. II. Asymptotic forms of the solution when the minium clearance between the spheres approaches zero
• The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres
• Calculation of the resistance and mobility functions for two unequal rigid spheres in low-Reynolds-number flow
• The resistance and mobility functions of two equal spheres in low-Reynolds-number flow
• Note on the direct calculation of mobility functions for two equal-sized spheres in Stokes flow
• Axisymmetric thermal-creep flow of a slightly rarefied gas induced around two unequal spheres
• Flow of Rarefied Gas through a Circular Pipe
• Asymptotic Theory of the Boltzmann Equation
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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