Hydrodynamic drag force exerted on a highly porous sphere moving towards an impermeable plate

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Original languageEnglish
Pages (from-to)3571-3578
Journal / PublicationChemical Engineering Science
Issue number20
Publication statusPublished - Oct 1998
Externally publishedYes


This study numerically evaluates the hydrodynamic drag force exerted on a porous sphere moving through a Newtonian fluid towards an impermeable flat plate at a Reynolds number ranging from 0.1 to 40. The sphere is assumed to be highly porous, whose interior flow field is modeled by the combined Darcy-Brinkman model. The surrounding fluid flow field is governed by steady-state Navier-Stokes equations. When the floc permeability is rather high, which is common for sludge flocs, no boundary layer separation occurs in the after-sphere region at large Reynolds numbers. The drag force thereby adheres to a Stokes' law like relationship.

Research Area(s)

  • Drag, Numerical, Plate, Porous

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