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Second-order Wagner theory for two-dimensional water-entry problems at small deadrise angles

Published online by Cambridge University Press:  23 January 2007

J. M. OLIVER
J. M. OLIVER*
Affiliation:
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK
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Abstract

The theory of Wagner from 1932 for the normal symmetric impact of a two-dimensional body of small deadrise angle on a half-space of ideal and incompressible liquid is extended to derive the second-order corrections for the locations of the higher-pressure jet-root regions and for the upward force on the impactor using a systematic matched-asymptotic analysis. The second-order predictions for the upward force on an entering wedge and parabola are compared with numerical and experimental data, respectively, and it is concluded that a significant improvement in the predictive capability of Wagner's theory is afforded by proceeding to second order.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 572 , February 2007 , pp. 59 - 85
Copyright
Copyright © Cambridge University Press 2007

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