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Nonlinear transient free-surface flow and dip formation due to a point sink

Phys. Fluids A 5, 1368 (1993); doi:10.1063/1.858572

Issue Date: June 1993

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Touvia Miloh
Department of Fluid Mechanics and Heat Transfer, Tel Aviv University, Tel Aviv 69978, Israel

Peder A. Tyvand
Department of Agricultural Engineering, Agricultural University of Norway, P.O. Box 5065, 1432 Ås, Norway
The early free-surface flow due to an impulsively started point sink in a semi-infinite fluid is analytically studied by employing a power series expansion in time. The full surface elevation to second order is calculated, as well as the third-order elevation at the surface center just above the sink. Gravity enters into the problem only in the third-order surface elevation. A Froude number is defined here with respect to the sink strength and the initial submergence depth. A critical value for the Froude number is analytically determined which is related to dip formation at the free surface. Its value is 15−1/2=0.2582. This critical value is shown to be in good agreement with experimental data and earlier works on dip formation in a container that is drained by a hole in the bottom. Physics of Fluids A: Fluid Dynamics is copyrighted by The American Institute of Physics.
History: Received 15 September 1992; accepted 12 January 1993
Permalink: http://dx.doi.org/10.1063/1.858572
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KEYWORDS and PACS

Keywords
PACS
  • 47.35.+i
    Fluid dynamics Hydrodynamic waves
  • 47.20.Ky
    Fluid dynamics Hydrodynamic stability Nonlinearity (including bifurcation theory)
  • YEAR: 1993

PUBLICATION DATA

ISSN:
0899-8213 (print)   1089-7666 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (23)
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