Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
2 (1990), S. 1624-1634
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The initial motion of a pair of strong vortices suddenly created close to a free surface is calculated analytically by means of a Taylor expansion in time. While weak vortices moving toward a free surface repel each other [see Hydrodynamics (Cambridge U.P., Cambridge, 1932)], strong vortices attract each other to the leading order. But, they cannot merge and annihilate each other because of nonlinear free-surface effects. Several features of the solution depend on whether or not the vortices are below a critical depth. At the critical depth the two vortex points span an angle of 120° with respect to the surface center. The dominating gravitational effects are investigated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.857570
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