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Numerical simulation of water exit of an initially fully submerged buoyant spheroid in an axisymmetric flow

Ni, BY; Wu, GX; (2017) Numerical simulation of water exit of an initially fully submerged buoyant spheroid in an axisymmetric flow. Fluid Dynamics Research , 49 (4) , Article 045511. 10.1088/1873-7005/aa747b. Green open access

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Abstract

The free water exit of an initially fully submerged buoyant spheroid in an axisymmetric flow, which is driven by the difference between the vertical fluid force and gravity, is investigated. The fluid is assumed to be incompressible and inviscid, and the flow to be irrotational. The velocity potential theory is adopted together with fully nonlinear boundary conditions on the free surface. The surface tension is neglected and the pressure is taken as constant on the free surface. The acceleration of the body at each time step is obtained as part of the solution. Its nonlinear mutual dependence on the fluid force is decoupled through the auxiliary function method. The free-surface breakup by body penetration and water detachment from the body are treated through numerical conditions. The slender body theory based on the zero potential assumption on the undisturbed flat free surface is adopted, through which a condition for full water exit of a spheroid is obtained. Comparison is made between the results from the slender body theory and from the fully nonlinear theory through the boundary-element method, and good agreement is found when the spheroid is slender. Extensive case studies are undertaken to investigate the effects of body density, dimensions and the initial submergence.

Type: Article
Title: Numerical simulation of water exit of an initially fully submerged buoyant spheroid in an axisymmetric flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1873-7005/aa747b
Publisher version: http://doi.org/10.1088/1873-7005/aa747b
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: water exit, submerged buoyant body, free motion, critical body density
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/1565163
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