eCite Digital Repository

A note on steady flow into a submerged point sink


Hocking, GC and Forbes, LK and Stokes, TE, A note on steady flow into a submerged point sink, The ANZIAM Journal, 56, (2) pp. 150-159. ISSN 1446-1811 (2014) [Refereed Article]

Copyright Statement

Copyright 2014 Australian Mathematical Society

DOI: doi:10.1017/S1446181114000303


The steady, axisymmetric flow induced by a point sink (or source) submerged in an unbounded inviscid fluid is computed. The resulting deformation of the free surface is obtained, and a limit of steady solutions is found that is quite di erent to those obtained in past work. More accurate solutions indicate that the old limiting flow rate was too high and, in fact, the breakdown of steady solutions at a lower flow rate is characterized by the appearance of spurious wavelets at the free surface.

Item Details

Item Type:Refereed Article
Keywords:selective withdrawal, point sink, axisymmetric flow, free-surface flow
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:98247
Year Published:2014
Web of Science® Times Cited:6
Deposited By:Mathematics and Physics
Deposited On:2015-02-06
Last Modified:2017-11-01

Repository Staff Only: item control page