Green's function of the Brinkman equation in a 2D anisotropic case

M Kohr, GPR Sekhar, John Blake

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The purpose of this paper is to obtain the Green's function of the Brinkman equation in a 2D case of hydrodynamic anisotropy with respect to the permeability. The anisotropic nature of the permeability is assumed to be not space or time dependent. We use the method of Fourier transform which reduces the computation of the Green's function to the computation of the fundamental solution of a fourth-order partial differential equation. This research work has several applications in engineering and medicine to the motion of bodies in anisotropic porous media.
Original languageEnglish
Pages (from-to)374-392
Number of pages19
JournalIMA Journal of Applied Mathematics
Volume73
Issue number2
Early online date6 Dec 2007
DOIs
Publication statusPublished - 6 Dec 2007

Keywords

  • Green's function
  • Fourier transform method
  • Brinkman's equation
  • anisotropic case

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