BIFURCATION ANALYSIS AND PROPAGATION CONDITIONS OF FREE-SURFACE WAVES IN INCOMPRESSIBLE VISCOUS FLUIDS OF FINITE DEPTH

Bifurcation Analysis and Propagation Conditions of Free-Surface Waves in Incompressible Viscous Fluids of Finite Depth

Viscous linear surface waves are studied at arbitrary wavelength, layer thickness, viscosity, and surface tension.We find that in shallow enough fluids no surface waves can propagate.This layer thickness is determined for some fluids, water, glycerin, and mercury.Even in any thicker fluid layers, propagation of very short and very long waves is for

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