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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The work was financially supported by the Russian Science Foundation (Project No. 23-29-00254).
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Aktershev, S.P., Alekseenko, S.V. & Bobylev, A.V. Two-dimensional steady-state traveling waves on the surface of a vertical rivulet. Thermophys. Aeromech. 30, 695–707 (2023). https://doi.org/10.1134/S0869864323040091
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DOI: https://doi.org/10.1134/S0869864323040091