Unsteady pressure fields which precede the launch of free-surface liquid jets

Cooker, Mark J. (2002) Unsteady pressure fields which precede the launch of free-surface liquid jets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458 (2018). pp. 473-488. ISSN 1364-5021

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Abstract

An inviscid, incompressible fluid in irrotational flow, with a prescribed free surface, responds to a specified initial velocity. The initial free surfaces treated are a horizontal plane indented by either a semicircular trench or a hemispherical crater. A paraboloidal cavity is also treated. Surface tension is neglected, but the effect of a uniform gravitational field is included, where relevant. The initial pressure field is calculated for several simple initial velocity fields, all of which direct fluid into the interior of the indentation. It is shown that a maximum in the instantaneous pressure field occurs in the fluid, just below the lowest point, B, on the free–surface indentation. This maximum in pressure is associated with a large local pressure gradient, and hence a large initial acceleration of the surface particles, especially at B, where the acceleration is directed vertically upward. By comparison with results for a flat free surface, it is shown by how much the indentation in the free surface adds to the violence with which the fluid initially moves.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Vishal Gautam
Date Deposited: 10 Mar 2011 12:52
Last Modified: 14 Dec 2022 15:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/19879
DOI: 10.1098/rspa.2001.0886

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