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Similarity solution for oblique water entry of an expanding paraboloid

Published online by Cambridge University Press:  19 March 2014

G. X. Wu  and
S. L. Sun
G. X. Wu*
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China
S. L. Sun
Affiliation:
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, PR China
*
†Permanent address: Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK. Email address for correspondence: [email protected]
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Abstract

Similarity solutions based on velocity potential theory are found to be possible in the case of an expanding paraboloid entering water when gravity is ignored. Numerical solutions are obtained based on the boundary element method. Iteration is used for the nonlinear boundary conditions on the unknown free surface, together with regular remeshing. Results are obtained for paraboloids with different slenderness (or bluntness). Flow features and pressure distributions are discussed along with the physical implications. It is also concluded that similarity solutions may be possible in more general cases.

JFM classification

Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 745 , 25 April 2014 , pp. 398 - 408
Copyright
© 2014 Cambridge University Press 

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