The hydrodynamic interactions between two spheres in a Brinkman medium

DOI10.1017/S0022112085001513zbMath0587.76050MaRDI QIDQ3714705

Sangtae Kim, William B. Russel

Publication date: 1985

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

zbMATH Keywords

separationsboundary collocation techniquecollocation pointsmethod of reflectionsaccurate solutionsBrinkman mediumhydrodynamic interaction between two spheresscreening of interactions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)

Related Items (11)

Forces and torques on a sphere moving near a dihedral corner in creeping flow ⋮ Reciprocal swimming at intermediate Reynolds number ⋮ A pairwise interaction theory for determining the linear acoustic properties of dilute bubbly liquids ⋮ The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small-amplitude oscillatory motion ⋮ A study of linearized oscillatory flow past particles by the boundary-integral method ⋮ Oscillatory line singularities of Stokes' flows ⋮ A singularity method for unsteady linearized flow ⋮ The general motion of a circular disk in a Brinkman medium ⋮ Axisymmetric motion of a slip spherical particle in the presence of a Brinkman interface with stress jump ⋮ Non-equilibrium pair interactions in colloidal dispersions ⋮ Elastic interactions in particulate composites with perfect as well as imperfect interfaces

Cites Work

• Viscosity renormalization in the Brinkman equation
• A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion
• On the calculation of Stokes' flow past porous particles
• Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
• A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane
• A new technique for treating multiparticle slow viscous flow: axisymmetric flow past spheres and spheroids
• The hydrodynamic interaction of two small freely-moving spheres in a linear flow field

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