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<p>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 to the shape of the wave rivulet surface 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 section of the rivulet.</p>

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Comparison of two-dimensional and three-dimensional models of wave rivulet flow over an inclined plane

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • S. P. Aktershev,
  • V. V. Guzanov,
  • A. Z. Kvon,
  • A. V. Bobylev,
  • A. V. Cherdantsev

摘要

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 to the shape of the wave rivulet surface 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 section of the rivulet.