Two-dimensional steady-state traveling waves on the surface of a vertical rivulet
S.P. Aktershev, S.V. Alekseenko, A.V. Bobylev
Kutateladze Institute of Thermophysics RAS SB, Novosibirsk, Russia
Keywords: rivulet flow, steady-state traveling nonlinear waves, theoretical model
Abstract
Nonlinear waves in a rectilinear rivulet flowing down a vertical plate are investigated on the basis of the developed semi-analytical model. The characteristics of nonlinear quasi-two-dimensional steady-state traveling waves are obtained numerically. Another wave family (the family of double-humped waves), branching off from the first family by doubling the spatial period, is found for small values of the wave number. It is shown that steady-state traveling waves do not exist in a certain narrow range of the excitation frequency, but a pulsating wave mode is realized.
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