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Source below the free surface of a heavy liquid
Authors:O. M. Kiselev
Abstract:The problem of the motion of a source under the free surface of an infinitely deep heavy liquid has been studied by Keldysh [1] under the assumptions used in the theory of small amplitude waves. However, these assumptions are no longer valid [2] for large Froude numbers F.A method using only one of the four assumptions of small amplitude wave theory (the assumption that the absolute value of the velocity at the free surface is nearly constant) was described in [2], In the following, this method is used to construct a solution of the problem which becomes exact as F rarr infin. When F is not large our results are close to those of Keldysh if the source intensity is low. For F=0, both methods lead to exact results.
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