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Free-surface flow due to a source submerged in a fluid of infinite depth with two stagnant regions

Published online by Cambridge University Press:  17 February 2009

Hocine Mekias  and
Jean-Marc Vanden-Broeck
Hocine Mekias
Affiliation:
Dept. of Math, and Center for Math. Sciences, University of Wisconsin-Madison, WI 53705.
Jean-Marc Vanden-Broeck
Affiliation:
Dept. of Math, and Center for Math. Sciences, University of Wisconsin-Madison, WI 53705.
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Abstract

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Two-dimensional free-surface flows produced by a submerged source in a fluid of infinite depth are considered. It is assumed that the point on the free surface just above the source is a stagnation point and that the fluid outside two shear layers is at rest. The free-surface profile and the shape of the shear layers are determined numerically by using a series-truncation method. It is shown that there is a solution for each value of the Froude number F > 0. When F tends to infinity, the flow also describes a thin jet impinging in a fluid at rest.

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 3 , January 1993 , pp. 368 - 376
Copyright
Copyright © Australian Mathematical Society 1993

References

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