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physics.flu-dyn2023
Nonlinear viscous gravity-capillary surface waves at arbitrary wavelengths
Arash Ghahraman, Gyula Bene
This paper presents the second-order perturbation theory of the Navier-Stokes equations for free surface flows, with the wave amplitude considered as the perturbation parameter. Gr…
physics.flu-dyn2023
Bifurcation Analysis and Propagation Conditions of Free-Surface Waves in Incompressible Viscous Fluids in Finite Depth
Arash Ghahraman, Gyula Bene
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 propaga…