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首页> 外文期刊>International journal of green energy >AN ASYMPTOTIC ANALYSIS OF A FALLING LIQUID FILM ON A VERTICAL LONG SINE-SHAPED WAVY PLANE
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AN ASYMPTOTIC ANALYSIS OF A FALLING LIQUID FILM ON A VERTICAL LONG SINE-SHAPED WAVY PLANE

机译：垂直长正弦波状平面上的下落液体膜的渐近分析

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摘要

The flow ofafreelyfalling liquid film of low Reynolds number down a vertical wavy plate with a small corrugation and a long period is researched theoretically. A model based on perturbation method and power series is presented. A dimensionless stream function is introduced into the Navier-Stokes equations. By perturbation expansion, two sets of equations describing the film flow separately at zeroth and first order are developed. The presented model is solved at leading approximation. Effects of parameters including Reynolds number Re, surface tension number M, nondimensional surface wavenumber X, and surface amplitude e on the film surface and on the shear stress at the wall surface are discussed.
机译：从理论上研究了低雷诺数自由降落的液膜向下流向垂直起伏的波纹板的波动。提出了一种基于摄动方法和幂级数的模型。无量纲流函数被引入到Navier-Stokes方程中。通过摄动展开，建立了分别描述膜流在零阶和一阶的两组方程。所提出的模型在超前近似下求解。讨论了包括膜表面上的雷诺数Re，表面张力数M，无量纲表面波数X和表面振幅e等参数对壁表面的剪应力的影响。

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