Similarity solution for oblique water entry of an expanding paraboloid. (19th March 2014)

• Record Type: Journal Article
• Authors: Wu, G. X.; Sun, S. L.
• Is Part Of: Journal of fluid mechanics. Volume 745(2014:Apr.)
• Page Start: 398
• Page End: 408
• Publication Date: 2014-03-19
• Subjects: waves/free-surface flows, -- wave–structure interactions; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2014.111
• Languages: English
• ISSNs: 0022-1120

Abstract

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.