Abstract
Long nonlinear two-dimensional traveling waves on a liquid film driven by laminar flow of a gas with much smaller density and viscosity are investigated. The gas flow is assumed to be pressure driven. The method of particles for incompressible flow is used to solve Navier–Stokes equations. The influence of layer depth ratio, gas Reynolds number, and wavelength on wave amplitude and phase speed is studied and compared to the corresponding characteristics of gravity-capillary waves. The waves with equal amplitude but different phase speeds have been revealed, i.e., the phase speed of the gas driven waves is not always a single valued function of their amplitude. Self-similarity of velocity profiles in shear driven waves has also been demonstrated.
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