The unsteady flow generated when a line sink is located at an arbitrary location beneath the free surface of a fluid of finite depth is considered. Interest is in the evolution to a steady state flow, splashing flows and the drawdown of the surface. The location of the sink away from, but near to, a vertical barrier leads to some interesting new surface flows due to interactions and reflection, some of which have a profound impact on the nature of the critical drawdown flow parameters. Interesting new solutions with a delayed drawdown that are initiated by a reflected wave are presented. A linearized solution and a fully nonlinear solution are presented and the results discussed. Regions of steady, unsteady and supercritical flow are identified.
Details
Title
Unsteady free surface flow due to a line sink at an arbitrary location with surface tension
Authors/Creators
W.F. Mansoor - Murdoch University, College of Science, Technology, Engineering and Mathematics
G.C. Hocking - Murdoch University, Centre for Animal Production and Health
D.E. Farrow - Mathematics and Statistics, Murdoch University, Perth, Western Australia, Australia