Comparison of 2D and 3D models of wave rivulet flow over an inclined plane
S.P. Aktershev, V.V. Guzanov, A.Z. Kwon, A.V. Bobylev, A.V. Cherdantsev
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Keywords: rivulet flow, inclined plate, nonlinear three-dimensional waves, laser-induced fluorescence technique, theoretical modeling
Abstract
The object of this study is a straight rivulet flowing over an inclined plate whose surface is covered with regular nonlinear waves. Such waves can be modeled in full three-dimensional statement, but it is also possible to use a simplified quasi-two-dimensional approach with self-similar shape of rivulet cross-section. In this study we directly compare the results of two- and three-dimensional approaches, where the shape of the wave rivulet surface is reconstructed experimentally using the laser-induced fluorescence technique. It is shown that the three-dimensional model reproduces well the wave surface of a rivulet, including such three-dimensional peculiarities as the wave front curvature and minor perturbations of its rear slope. Though the two-dimensional model is unable to reproduce such peculiarities, it describes well the parameters and shape of a wave in the central longitudinal cross-section of the rivulet.
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