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Volume 31 (2024)
Volume 31, Issue 2 (In progress)
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Pg 1 - 61 (June 2024)
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Advances and Applications in Fluid Mechanics
Advances and Applications in Fluid Mechanics
Volume 5, Issue 1, Pages 27 - 40 (January 2009)
THE EFFECT OF HIGHER HARMONICS ON THE BENJAMIN-FEIR INSTABILITY
David L. Ross (USA)
Abstract:
Interactions of higher harmonics that lead to resonance are explored for a fully nonlinear representation of the Stokes wave on deep water. Laplace’s equation is used to model the inviscid fluid, with nonlinearities captured in the boundary conditions. A disturbance is introduced, represented by a pair of sideband modes, and a perturbation analysis conducted. The interaction between higher harmonics of the primary wave and the sidebands is specified and the contribution of this interaction to unbounded growth is characterized.
Keywords and phrases:
higher harmonics, Benjamin-Feir instability, Stokes wave, inviscid fluid.
Communicated by K. K. Azad
Number of Downloads:
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P-ISSN: 0973-4686
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