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A non-linear theory for symmetric, supercavitating flow in a gravity field

Published online by Cambridge University Press:  28 March 2006

Charles W. Lenau  and
Robert L. Street
Charles W. Lenau
Affiliation:
University of Missouri
Robert L. Street
Affiliation:
Stanford University
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Abstract

An analysis is made of the effect of a longitudinal gravity field on two-dimensional supercavitating flow past wedges. Under the assumption that the flow is both irrotational and incompressible, a non-linear theory is developed for steady flow. By utilizing conformal mapping in combination with the Schwarz reflexion principle, the mathematical problem is reduced to a three-parameter, non-linear integral equation with one constraint. The equation is derived by reflecting the flow about the rigid boundaries; the constraint is obtained by requiring the net singularity strength inside the cavity-wedge system to be zero. A successive-approximation procedure is used to obtain a numerical solution of the integral equation. Typical results are presented in graphs and tables, and the results of the present work are compared to those of Acosta's linear theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 2 , February 1965 , pp. 257 - 280
Copyright
© 1965 Cambridge University Press

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References

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