RT Journal Article
T1 Initial stage of plate lifting from a water surface
A1 Korobkin, Alexander
A1 Khabakhpasheva, Tatyana
A1 Rodríguez Rodríguez, Francisco Javier
AB 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.
PB Springer
SN 0022-0833
YR 2017
FD 2017-02
LK https://hdl.handle.net/10016/38494
UL https://hdl.handle.net/10016/38494
LA eng
NO Special Issue on Practical Asymptotics VI
NO This work has been supported by the NICOP research grant "Fundamental Analysis of the Water Exit Problem" N62909-13-1-N274, through Dr. Woei-Min Lin. The authors wish to acknowledge the support of the Spanish Ministry of Economy and Competitiveness through grant DPI2014-59292-C3-1-P. The authors also acknowledge the support of the London Mathematical Society that funded a research stay of J. R-R at the University of East Anglia in the summer of 2014. The authors are grateful to the referees for their careful readings and comments, which helped to improve an earlier version of this paper.
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RD 18 jul. 2024