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 language | English |
|---|---|
| Pages (from-to) | 374-392 |
| Number of pages | 19 |
| Journal | IMA Journal of Applied Mathematics |
| Volume | 73 |
| Issue number | 2 |
| Early online date | 6 Dec 2007 |
| DOIs | |
| Publication status | Published - 6 Dec 2007 |
Keywords
- Green's function
- Fourier transform method
- Brinkman's equation
- anisotropic case