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 which correspond to static solutions valid in the absence of fluid forcing.
|Number of pages||11|
|Journal||Journal of Fluid Mechanics|
|Publication status||Published - 25 Dec 2011|