Journal article
Extraction of density-layered fluid from a porous medium
ANZIAM Journal, Vol.61, pp.C137-C151
2020
Abstract
We consider axisymmetric flow towards a point sink from a stratified fluid in a vertically confined aquifer. We present two approaches to solve the equations of flow for the linear density gradient case. Firstly, a series method results in an eigenfunction expansion in Whittaker functions. The second method is a simple finite difference method. Comparison of the two methods verifies the finite difference method is accurate, so that more complicated nonlinear, density stratification can be considered. Such nonlinear profiles cannot be considered with the eigenfunction approach. Interesting results for the case where the density stratification changes from linear to almost two-layer are presented, showing that in the nonlinear case there are certain values of flow rate for which a steady solution does not occur.
Details
- Title
- Extraction of density-layered fluid from a porous medium
- Authors/Creators
- J. Jose (Author/Creator)G. Hocking (Author/Creator)D. Farrow (Author/Creator)
- Publication Details
- ANZIAM Journal, Vol.61, pp.C137-C151
- Publisher
- Australian Mathematical Society
- Identifiers
- 991005542373107891
- Copyright
- © Austral. Mathematical Soc. 2020
- Murdoch Affiliation
- Information Technology, Mathematics and Statistics
- Language
- English
- Resource Type
- Journal article
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