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The lens of freshwater in a tropical island-2d withdrawal

journal contribution
posted on 2023-05-16, 14:14 authored by Hocking, GC, Lawrence ForbesLawrence Forbes
Steady solutions are found for the shape of the interface between salt and freshwater beneath a tropical island. A Green's function approach is used and proves to be much more robust than spectral methods. Computations of the surface shape during withdrawal through a line sink are described and the maximum pumping rate before critical breakthrough of the salt water is found for a range of different sink locations. The effects of density ratio, withdrawal depth and horizontal location are also calculated and found to be significant. Decreasing the density ratio between the layers, or increasing withdrawal height is shown to make a significant difference to the critical flow rate. Further, it is shown that for realistic densities, the island width can be a factor for quite substantial widths, whereas for higher, unrealistic density differences an increase in width quickly becomes irrelevant to the interface shape. © 2003 Elsevier Science Ltd. All rights reserved.

History

Publication title

Computers and Fluids

Volume

33

Pagination

19-30

ISSN

0045-7930

Department/School

School of Natural Sciences

Publisher

Pergamon-Elsevier Science Ltd

Place of publication

Oxford, England

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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