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The effect of surface tension on free-surface flow induced by a point sink

journal contribution
posted on 2023-05-19, 02:42 authored by Hocking, GC, Nguyen, HHN, Lawrence ForbesLawrence Forbes, Stokes, TE
The steady, axisymmetric flow induced by a point sink (or source) submerged in an inviscid fluid of infinite depth is computed and the resulting deformation of the free surface is obtained. The effect of surface tension on the free surface is determined and is the new component of this work. The maximum Froude numbers at which steady solutions exist are computed. It is found that the determining factor in reaching the critical flow changes as more surface tension is included. If there is zero or a very small amount of surface tension, the limiting factor appears to be the formation of small wavelets on the free surface; but, as the surface tension increases, this is replaced by a tendency for the lowest point on the free surface to descend sharply as the Froude number is increased.

History

Publication title

ANZIAM Journal

Volume

57

Issue

4

Pagination

417-428

ISSN

1446-1811

Department/School

School of Natural Sciences

Publisher

Australian Mathematics Publ Assoc Inc

Place of publication

Mathematics Dept Australian National Univ, Canberra, Australia, Act, 0200

Rights statement

Copyright 2016 Australian Mathematical Society

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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