Finite-Amplitude Interfacial Waves

摘要: The gravity waves at the interface between two uniform, unbounded fluids of different densities in presence a current or relative horizontal velocity have been considered. are supposed to be immiscible, incompressible, and inviscid; motion is assumed irrotational. This chapter discusses properties existence finite amplitude two-dimensional, periodic permanent form that propagate steadily without change shape. “Two-dimensional” means flow field depends only on direction propagation. In surface waves, which limit present study when density upper fluid zero, it has found three-dimensional exist observed experimentally. Such would also important for interfacial waves. For purpose calculating steady there no loss generality taking speed propagation parallel current, because an arbitrary constant transverse might linearly superposed any two-dimensional wave affecting its properties. can reduced rest by choosing frame reference moving with wave. problem then calculate irrotational solutions Euler equations satisfy continuity pressure across common streamline.