Note on the direct calculation of mobility functions for two equal-sized spheres in Stokes flow

DOI10.1017/S0022112087003240zbMath0634.76030OpenAlexW2171277898MaRDI QIDQ3773568

Byung-Jun Yoon, Sangtae Kim

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0022112087003240

zbMATH Keywords

Stokes flowdirect calculation of mobility functionstwo equal-sized spheresunbounded low-Reynolds-number flow

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items (5)

The load transfer between two rigid spherical inclusions in an elastic medium ⋮ Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities ⋮ The transverse shear-induced liquid and particle tracer diffusivities of a dilute suspension of spheres undergoing a simple shear flow ⋮ Normal stress and diffusion in a dilute suspension of hard spheres undergoing simple shear ⋮ Hydrodynamic interaction of two unequal-sized spheres in a slightly rarefied gas: resistance and mobility functions

Cites Work

• The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations
• 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
• The motion of suspended particles almost in contact
• A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane
• Slow motion of two spheres in a shear field
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• The hydrodynamic interaction of two small freely-moving spheres in a linear flow field
• On the creeping motion of two arbitrary-sized touching spheres in a linear shear field

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