Abstract

Two-dimensional free-surface flow produced by a submerged source in a fluid of finite depth is considered. It is assumed that there is a stagnation point on the free surface immediately above the source. The shape of the free surface and the flow of the fluid are determined numerically by series truncation for various values of the Froude number F. It is found that there is a flow for each value of F ≥1.22. In addition, a local solution is constructed to describe the flow near the stagnation point as F→∞.

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