Abstract
The two-dimensional steady potential free surface flow due to a pressure distribution
moving at a constant velocity at the surface of a fluid of infinite depth is considered.
The effects of gravity and surface tension are included in the dynamic boundary
condition. The fully nonlinear problem is solved numerically by a boundary integral
equation method and the results are compared with those of the linear theory of
Rayleigh (1883). It is found that for some values of the capillary number, the nonlinear
solutions do not approach the linear solution of Rayleigh as the magnitude of the
pressure distribution approaches zero. Appropriate linear and nonlinear solutions are
constructed.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
17 articles.
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