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

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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