Author:
VANDEN-BROECK J.-M.,KELLER JOSEPH B.
Abstract
An axisymmetric flow due to a submerged sink in water of
infinite depth is considered,
with a stagnation point on the free surface above the sink.
Forbes & Hocking (1990)
calculated numerically a flow for each value of the Froude number
F smaller than a
critical value Fc. For F close to
Fc there is a ring-shaped bump on the free
surface.
At F=Fc, the crest of the bump
becomes a ring of stagnation points. We use the
numerical procedure of Hocking & Forbes to show that the bump is the
first crest
of a train of axisymmetric waves. The wave amplitude decreases with increasing
distance from the source. Then we give a local analysis of axisymmetric
free-surface
flows with a circular ring of stagnation points. We find flows in which
the surface
has a discontinuity in slope with an enclosed angle of 120°
all along the ring. This
behaviour is consistent with the numerical solution for
F=Fc near the crest of the bump.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
15 articles.
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