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Two-dimensional jet aimed vertically upwards

Published online by Cambridge University Press:  17 February 2009

Jean-Marc Vanden-Broeck
Jean-Marc Vanden-Broeck
Affiliation:
Department of Mathematics and Center for the Mathematical Sciences, University of Wisconsin-Madison, Madison, WI 53705U.S.A.
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Abstract

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A steady two-dimensional jet of an inviscid incompressible fluid rising and falling under gravity is considered. The jet is aimed vertically upwards and the flow is assumed to be bounded entirely by two free surfaces. The problem is solved numerically by finite differences. Accurate results for the free surface profiles are presented.

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 4 , April 1993 , pp. 393 - 400
Copyright
Copyright © Australian Mathematical Society 1993

References

[1] Dias, F. and Vanden-Broeck, J.-M., “Flows emerging from a nozzle and falling under gravity”, J. Fluid Mech. 123 (1990) 465.Google Scholar
[2] Vanden-Broeck, J.-M. and Keller, J. B., “Weir flows”, J. Fluid Mech. 176 (1987) 283.CrossRefGoogle Scholar
[3] Dagan, G. and Tulin, M. P., “Two-dimensional free-surface gravity flow past blunt bodies”, J. Fluid Mech. 51 (1972) 529.CrossRefGoogle Scholar
[4] Keller, J. B. and Geer, J., “Flows of thin streams with free boundaries”, J. Fluid Mech. 59 (1973) 417.Google Scholar
[5] Tuck, E. O. and Vanden-Broeck, J.-M., “Splashless bow flows in two dimensions?”, 15th Symp. Naval Hydrodynamics, Hamburg, (1985).Google Scholar