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A model for the free-surface flow due to a submerged source in water of infinite depth

Published online by Cambridge University Press:  17 February 2009

J.-M. Vanden-Broeck
J.-M. Vanden-Broeck
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin Madison, WI 53706, USA
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Abstract

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We consider a free-surface flow due to a source submerged in a fluid of infinite depth. It is assumed that there is a stagnation point on the free surface just above the source. The free-surface condition is linearized around the rigid-lid solution, and the resulting equations are solved numerically by a series truncation method with a nonuniform distribution of collocation points. Solutions are presented for various values of the Froude number. It is shown that for sufficiently large values of the Froude number, there is a train of waves on the free surface. The wavelength of these waves decreases as the distance from the source increases.

Type
Research Article
Information
The ANZIAM Journal , Volume 39 , Issue 4 , April 1998 , pp. 528 - 538
Copyright
Copyright © Australian Mathematical Society 1998

References

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