A note on withdrawal from a two-layer fluid through a line sink in a porous medium
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Hocking, G.C. and Zhang, H. (2008) A note on withdrawal from a two-layer fluid through a line sink in a porous medium. ANZIAM Journal, 50 (01). pp. 101-110.
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Link to Published Version: http://dx.doi.org/10.1017/S144618110800028X
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Abstract
The steady response of the free surface of a fluid in a porous medium is considered during extraction of the fluid through a line sink. A conformal-mapping approach is used to derive exact solutions to a family of problems in which the line sink is placed at the apex of a wedge-shaped impermeable base, including the limiting cases of an unbounded aquifer and a flat-bottomed aquifer of finite depth. Both critical cusp solutions and sub-critical solutions are computed exactly as Fourier sine series.
| Publication Type: | Journal Article |
|---|---|
| Murdoch Affiliation: | School of Chemical and Mathematical Science |
| Publisher: | Australian Mathematical Society |
| Copyright: | © Australian Mathematical Society 2009 |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/4571 |
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