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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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 |
KEYWORDS and PACS
UNSTEADY FLOW,
BOUNDARY&minus,
VALUE PROBLEMS,
GRAVITY WAVES,
FROUDE NUMBER,
NONLINEAR PROBLEMS,
HYDRODYNAMICS,
SINKS
- 47.15.Hg
Fluid dynamics Laminar flows Potential flows - YEAR: 1992
PUBLICATION DATA
0899-8213 (print)
1089-7666 (online)
REFERENCES (16)
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