A hydrodynamic model of thin, laminar, gravity-driven, wavy-film flow over a vertical plate was considered. To make advantage of the cyclic boundary conditions and due to the nature of the wavy flow, a solution based on a Fourier series was implemented. Two representative cases of practical importance were studied; Re = 25, Re = 100. This range of Reynolds numbers is of the most practical importance in the process industry. Multiple solutions were obtained. Most of these solutions are mathematically correct but physically are not. It is observed that realistic wave profiles are always obtained once we approach the Froude number corresponding to thin film.
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机译：考虑了薄的，层状的，重力驱动的，垂直板上波浪状流动的流体动力学模型。为了利用循环边界条件并由于波浪流动的性质，实施了基于傅立叶级数的解决方案。研究了两个具有实际重要性的代表性案例; Re = 25，Re =100。在过程工业中，此雷诺数范围最重要。获得了多种解决方案。这些解决方案中的大多数在数学上都是正确的，但在物理上却不是。可以观察到，一旦我们接近对应于薄膜的弗劳德数，就总是可以获得逼真的波轮廓。
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