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Unsteady free-surface flow due to a line source

Phys. Fluids A 4, 671 (1992); doi:10.1063/1.858285

Issue Date: April 1992

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Peder A. Tyvand
Department of Agricultural Engineering, Agricultural University of Norway, Box 65, 1432 Ås-NLH, Norway
The initial development of the free-surface flow due to a submerged two-dimensional source (or sink) is studied analytically. The source is turned on at time zero. The fluid depth is infinite. The nonlinear initial/boundary-value problem is solved to second order in a Taylor expansion in time. A critical sink strength is found, for the formation of a surface dip. Its Froude number is equal to 1/3. The leading gravity wave is considered in the context of classical Cauchy–Poisson problems. Physics of Fluids A: Fluid Dynamics is copyrighted by The American Institute of Physics.
History: Received 11 June 1990; accepted 22 November 1991
Permalink: http://dx.doi.org/10.1063/1.858285
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KEYWORDS and PACS

Keywords
PACS
  • 47.15.Hg
    Fluid dynamics Laminar flows Potential flows
  • YEAR: 1992

PUBLICATION DATA

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

REFERENCES (16)

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