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Low-speed two-dimensional free-surface flow past a body

Published online by Cambridge University Press:  26 April 2006

S. L. Cole  and
T. D. Strayer
S. L. Cole
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA
T. D. Strayer
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA
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Abstract

This paper defines the linearized problem of free-surface flow past a shallow two-dimensional body in terms of complex variables and provides an asymptotic solution for the Froude number tending to zero. The simple case of flow past a rectangular box with a triangular extension in front is worked out as an example. The low-Froude-number solution for ‘double-body’ flow in a fully infinite fluid past the same box with its reflection in the upper half-plane is also calculated. The upstream free-surface height for the linear solution is compared to the equivalent free-surface height for the double-body flow. Experimental results for this body are also presented and compared.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 245 , December 1992 , pp. 437 - 447
Copyright
© 1992 Cambridge University Press

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References

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