A strong-interaction theory for the motion of arbitrary three-dimensional clusters of spherical particles at low Reynolds number

DOI10.1017/S0022112088003155zbMath0655.76025OpenAlexW2106527756MaRDI QIDQ3802779

Peter Ganatos, Qaizar Hassonjee, Robert Pfeffer

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088003155

zbMATH Keywords

hydrodynamic interaction`exact' solutionboundary-collocation truncated-series solution techniquenon-symmetric multibody problemplanar symmetric Stokes flow problemsthree-dimensional finite cluster

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)

Related Items (9)

Thermocapillary migration of a small chain of bubbles ⋮ Thermocapillary migration of interfacial droplets ⋮ Motion of rigid aggregates under different flow conditions ⋮ Stokes drag on conglomerates of spheres ⋮ The Oseen problem for a finite collection of spheres settling in a viscous liquid ⋮ Integral equation methods for particle simulations in creeping flows ⋮ Inhomogeneous viscosity fluid flow in a wide-gap Couette apparatus: Shear-induced migration in suspensions ⋮ Hydrodynamic interaction of two neutrally-buoyant smooth spheres suspended in plane Poiseuille flow: the BEM simulations versus the MoR approximations ⋮ The three-dimensional fundamental solution to Stokes flow in the oblate spheroidal coordinates with applications to multiples spheroid problems

Cites Work

• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
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• Stokes flow through periodic arrays of spheres
• The resistance and mobility functions of two equal spheres in low-Reynolds-number flow
• Multipole expansion calculation of slow viscous flow about spheroids of different sizes
• A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 1. Perpendicular motion
• A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion
• Gravitational and zero-drag motion of a sphere of arbitrary size in an inclined channel at low Reynolds number
• The hydrodynamic interaction of two unequal spheres moving under gravity through quiescent viscous fluid
• Separation from the surface of two equal spheres in Stokes flow
• A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane
• The behaviour of clusters of spheres falling in a viscous fluid Part 1. Experiment
• A new technique for treating multiparticle slow viscous flow: axisymmetric flow past spheres and spheroids
• Axisymmetric slow viscous flow past an arbitrary convex body of revolution
• The behaviour of clusters of spheres falling in a viscous fluid Part 2. Slow motion theory

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