Author:
LONGUET-HIGGINS MICHAEL S.
Abstract
For two-dimensional flow there is a simple
relation between the vorticity at a stress-free
surface and the surface curvature. In this note the
relation is generalized to flow in three
dimensions. It is shown that in addition to a component
of vorticity perpendicular to
the flow there is also a component parallel to the direction
of flow. The latter vanishes
only at an umbilical point or when the flow is in one of
the two principal directions of curvature.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
32 articles.
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