Initial stage of plate lifting from a water surface

Korobkin, Alexander ORCID: https://orcid.org/0000-0003-3605-8450, Khabakhpasheva, Tatyana ORCID: https://orcid.org/0000-0003-4058-0508 and Rodríguez-Rodríguez, Javier (2017) Initial stage of plate lifting from a water surface. Journal of Engineering Mathematics, 102 (1). 117–130. ISSN 0022-0833

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Abstract

This study deals with the flow induced by a rigid flat plate of finite length, initially touching a horizontal water surface, when it starts to move upwards with constant acceleration. In the present model, negative hydrodynamic pressures on the lower (wetted) surface of the plate are allowed, and thus, the water follows the plate due to the resulting suction force. The acceleration of the plate and the plate length are such that gravity, surface tension and viscous effects can be neglected during the early stages of the motion. Under these assumptions, the initial two-dimensional, potential flow caused by the plate lifting is obtained by using the small-time expansion of the velocity potential. This small-time solution is not valid close to the plate edges, as it predicts there singular flow velocities and unbounded displacements of the water-free surface. It is shown that close to the plate edges the flow is nonlinear and self-similar to leading order. This nonlinear flow is computed by the boundary-element method combined with a time-marching scheme. The numerical time-dependent solution approaches the self-similar local solution with time.

Item Type:	Article
Additional Information:	© The Author(s) 2015. This article is published with open access at Springerlink.com
Uncontrolled Keywords:	free-surface flows,matched asymptotics,numerical methods,water exit
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Centre for Interdisciplinary Mathematical Research (former - to 2017) Faculty of Science > Research Groups > Fluid and Solid Mechanics
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	Pure Connector
Date Deposited:	12 Jan 2016 12:01
Last Modified:	06 Mar 2024 04:33
URI:	https://ueaeprints.uea.ac.uk/id/eprint/56226
DOI:	10.1007/s10665-015-9832-8

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