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Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension

Published online by Cambridge University Press:  20 April 2006

Lawrence K. Forbes
Lawrence K. Forbes
Affiliation:
Applied Mathematics Department, University of Adelaide, South Australia 5000 Present address: Institute of Hydraulic Research, The University of Iowa, Iowa City, Iowa 52242, U.S.A.
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Abstract

A previous study by Forbes & Schwartz (1982) on flow under gravity of a fluid over a submerged semicircular disturbance is generalized to include the effects of surface tension. A linearized theory is presented, in which the existence of three different branches of solution is predicted. The solution of the fully nonlinear problem by a boundary-integral technique supports this prediction. The wave resistance experienced by the obstacle is computed for the linearized and nonlinear theories.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 283 - 297
Copyright
© 1983 Cambridge University Press

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