Simulation of three-dimensional waves in a liquid film

摘要

A model describing long-wave dimensional perturbations in a liquid film is developed that takes into account the presence of shear stress on the interfacial surface. This model is based on the decomposition of the liquid velocity vector components in a series in linearly independent basis functions (harmonics) and does not use the assumption of self-similarity of the velocity profile. A linear analysis of the stability of film flow with respect to three-dimensional perturbations, and a numerical simulation of nonlinear waves were performed.