Nonlinear forced waves in a vertical rivulet flow

This article presents the results of numerical simulations of three-dimensional waves on the surface of a rivulet flowing down a vertical plate. The Kapitza–Shkadov approach is used to describe the wave flow of the rivulet. Various characteristics of linear and nonlinear regular waves in the rivulet are obtained through numerical calculations as a function of the forcing frequency at different Reynolds numbers and contact wetting angles. The results of the simulations are compared with the authors’ previous experimental data. The comparison shows that the applied model adequately describes the shape of the wave surface of a rivulet, although the wave propagation velocity and wavelength are underestimated.