Flow of a viscous fluid at small Reynolds number past a porous sphere with a solid core

DOI10.1007/s00707-006-0345-4zbMath1106.76071OpenAlexW2049193894MaRDI QIDQ857534

Abinash Chandra Srivastava, Neetu Srivastava

Publication date: 18 December 2006

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-006-0345-4

zbMATH Keywords

Brinkman equationStokes solutionOseen solution

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (8)

Expansions at small Reynolds numbers for the flow past a porous circular cylinder ⋮ Flow of a viscous fluid past a heterogeneous porous sphere at low Reynolds numbers ⋮ Stokes flow past an assemblage of axisymmetric porous spherical shell-in-cell models: effect of stress jump condition ⋮ Fluid flow past a rotating sphere in the presence of a toroidal magnetic field ⋮ Layer potential analysis for a Dirichlet‐transmission problem in Lipschitz domains in ℝⁿ ⋮ Creeping motion of a porous approximate sphere with an impermeable core in a spherical container ⋮ Boundary integral equations for two-dimensional low Reynolds number flow past a porous body ⋮ Drift-diffusive liquid migration in partly saturated sheared granular media

Cites Work

• A Cartesian-tensor solution of the Brinkman equation
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• Flow past a porous sphere at small Reynolds number
• Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder
• Boundary conditions for darcy's flow through porous media
• Unsteady flow past a sphere at low Reynolds number
• On the calculation of Stokes' flow past porous particles
• The Effect of Permeability on the Slow Motion of a Porous Sphere in a Viscous Liquid
• Creeping flow past and within a permeable spheroid

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