A note on withdrawal from a two-layer fluid through a line sink in a porous medium

G.C. Hocking; H. Zhang

doi:10.1017/S144618110800028X

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A note on withdrawal from a two-layer fluid through a line sink in a porous medium

Journal article

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A note on withdrawal from a two-layer fluid through a line sink in a porous medium

G.C. Hocking and H. Zhang

ANZIAM Journal, Vol.50(01), pp.101-110

2008

DOI: https://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.

Details

Title: A note on withdrawal from a two-layer fluid through a line sink in a porous medium
Authors/Creators: G.C. Hocking (Author/Creator) - Murdoch University
H. Zhang (Author/Creator) - Griffith University
Publication Details: ANZIAM Journal, Vol.50(01), pp.101-110
Publisher: Australian Mathematical Society
Identifiers: 991005540475307891
Murdoch Affiliation: School of Chemical and Mathematical Science
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration
Citation topics: 8 Earth Sciences; 8.205 Ocean Dynamics; 8.205.2114 Hydraulic Flows
Web Of Science research areas: Mathematics, Applied
ESI research areas: Mathematics