J Austral Math Soc Ser B 34 pp368--376, 1993.

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

Hocine Mekias and Jean-Marc Vanden-Broeck

(Received 9 July 1991; revised 2 January 1992)

Abstract

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.

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Authors

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

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Last Modified: Mon Jul 10 11:17:56 2000