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Laminar flow past a permeable sphere
Author(s) -
Nandakumar K.,
Masliyah Jacob H.
Publication year - 1982
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450600202
Subject(s) - laminar flow , reynolds number , drag , stokes flow , mechanics , dimensionless quantity , stokes' law , stokes number , spheres , mathematics , darcy's law , flow (mathematics) , hele shaw flow , fluid dynamics , physics , classical mechanics , porous medium , porosity , materials science , turbulence , astronomy , composite material
Flow past an isolated permeable sphere has been studied. The complete Navier‐Stokes equation governs the fluid motion outside the sphere, while Brinkman's extension of Darcy's Law is assumed to hold within the porous sphere. The Navier‐Stokes equation is solved using a finite difference scheme. The flow within the porous sphere is solved in two different ways, each being efficient over a particular range of Reynolds number. Drag Coefficients are presented for dimensionless permeability, β, of 5, 10, 15, and 30 and for Reynolds numbers up to 50. The computed drag coefficients are within 10% of the experimental values observed by Masliyah and Polikar for 15 < β > 33, the range covered in their work. Separation was observed only for β > 10. The onset of separation is delayed considerably in porous spheres.