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A row of counter-rotating vortices (1993)

Mallier, R. ; Maslowe, S. A.

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 5 (1993), S. 1074-1075

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: In 1967, Stuart [J. Fluid Mech. 29, 417 (1967)] found an exact nonlinear solution of the inviscid, incompressible two-dimensional Navier–Stokes equations, representing an infinite row of identical vortices which are now known as Stuart vortices. In this Brief Communication, the corresponding result for an infinite row of counter-rotating vortices, i.e., a row of vortices of alternating sign, is presented. While for Stuart's solution, the streamfunction satisfied Liouville's equation, the streamfunction presented here satisfies the sinh–Gordon equation [Solitons: An Introduction (Cambridge U.P., London, 1989)]. The connection with Stuart's solution is discussed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.858622

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