Flow past a porous spherical shell using the Brinkman model

B. S. Bhatt, N. C. Sacheti

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Slow motion of a Newtonian fluid past a porous spherical shell has been examined. The flow in the free fluid region (inside the core and outside the shell) is governed by the Navier-Stokes equations whereas the flow in the porous region (shell region) is governed by the Brinkman model. The exact solution has been found under Stokes' approximation. The drag experienced by the shell has been discussed numerically for a range of values of governing parameters. The streamlines for the flow outside of the inner core and around the spherical shell have been depicted graphically and compared with the corresponding streamlines around a non-porous sphere.

Original languageEnglish
Pages (from-to)37-41
Number of pages5
JournalJournal of Physics D: Applied Physics
Volume27
Issue number1
DOIs
Publication statusPublished - Jan 14 1994

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spherical shells
Fluids
Navier Stokes equations
Drag
Newtonian fluids
Navier-Stokes equation
drag
fluids
approximation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films
  • Electronic, Optical and Magnetic Materials

Cite this

Flow past a porous spherical shell using the Brinkman model. / Bhatt, B. S.; Sacheti, N. C.

In: Journal of Physics D: Applied Physics, Vol. 27, No. 1, 14.01.1994, p. 37-41.

Research output: Contribution to journalArticle

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