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Flow due to a sink near a vertical wall, in infinitely deep fluid

journal contribution
posted on 2023-05-16, 16:02 authored by Lawrence ForbesLawrence Forbes, Hocking, GC
Flow caused by a point sink in an otherwise stagnant fluid is studied using numerical methods based on integral-equation techniques and an asymptotic solution for small Froude number. There is a vertical wall present on a plane close to the sink, so that the flow is fully three dimensional. The fluid is of infinite depth, but a free-surface bounds it above. Steady solutions are presented for various Froude numbers and distances of the source from the wall. It is shown that the numerical results and asymptotic formula are in good agreement for small Froude numbers, but the results suggest that the non-linear solution ultimately forms some limiting structure at sufficiently large Froude number. © 2004 Elsevier Ltd. All rights reserved.

Funding

Australian Research Council

History

Publication title

Computers and Fluids

Volume

34

Issue

6

Pagination

684-704

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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