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Hydroelastic waves on fluid sheets

2011; Cambridge University Press; Volume: 689; Linguagem: Inglês

10.1017/jfm.2011.451

1469-7645

M. G. Blyth, Emilian I. Părău, Jean‐Marc Vanden‐Broeck,

Fluid Dynamics and Turbulent Flows

Abstract Nonlinear travelling waves on a two-dimensional inviscid fluid sheet are investigated when the sheet is bounded above and below by two thin elastic plates. Symmetric and antisymmetric solution branches are identified, together with a pair of bifurcation branches. It is shown that far along the branches the solutions approach limiting configurations that correspond to static solutions valid in the absence of fluid forcing.