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Salt-water up-coning during extraction of fresh water from a tropical island


Forbes, LK and Hocking, GC and Wotherspoon, SJ, Salt-water up-coning during extraction of fresh water from a tropical island, Journal of Engineering Mathematics, 48, (1) pp. 69-91. ISSN 0022-0833 (2004) [Refereed Article]

DOI: doi:10.1023/B:ENGI.0000009517.28682.6f


Rainwater can collect in a lens-shaped region within the rock of a tropical island, and may be separated from the underlying salt water by a sharp interface. This paper presents a nonlinear theory for determining the shape of this interface. The island is assumed to be saturated with rain, and provision is made for the outflow of rain-water through the sides of the island. The effect of a bore well on the shape of the interface is investigated, and the problem is solved using a spectral method. An integral-equation method is also presented for the case when the island has infinite width.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
UTAS Author:Wotherspoon, SJ (Dr Simon Wotherspoon)
ID Code:27232
Year Published:2004
Web of Science® Times Cited:6
Deposited By:Mathematics
Deposited On:2004-08-01
Last Modified:2005-04-26

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