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Flows emerging from a nozzle and falling under gravity

Published online by Cambridge University Press:  26 April 2006

Frédéric Dias  and
Jean-Marc Vanden-Broeck
Frédéric Dias
Affiliation:
Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609, USA
Jean-Marc Vanden-Broeck
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, WI 53705, USA
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Abstract

Steady two-dimensional free-surface flows of an inviscid and incompressible fluid emerging from a nozzle and falling under gravity are calculated numerically. The nozzle is aimed at an angle β above the horizontal. It is shown that there are flows for which the fluid falls down along the underside of the nozzle and other flows which split into two sheets. The latter flows occur for each value of β when the Froude number F is greater than a critical value. Local solutions are constructed to describe the limiting behaviour of the flows as F → 0 and as F → ∞.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 213 , April 1990 , pp. 465 - 477
Copyright
© 1990 Cambridge University Press

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