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Thin liquid film resulting from a distributed source on a vertical wall
Physical Review Fluids ( IF 2.7 ) Pub Date : 2020-06-24 , DOI: 10.1103/physrevfluids.5.064004
Yadong Ruan , Ali Nadim , Marina Chugunova

We examine the dynamics of a thin film formed by a distributed liquid source on a vertical solid wall. The model is derived using the lubrication approximation and includes the effects of gravity, upward airflow, and surface tension. When surface tension is neglected, a critical source strength is found below which the film flows entirely upward due to the airflow, and above which some of the flow is carried downward by gravity. In both cases, a steady state is established over the region where the finite source is located. Shock waves that propagate in both directions away from the source region are analyzed. Numerical simulations are included to validate the analytical results. For models including surface tension, further numerical simulations are carried out. The presence of surface tension, even when small, causes a dramatic change in the film profiles and the speed and structure of the shock waves.

中文翻译:

垂直壁上的分布式源产生的液体薄膜

我们研究了由分布的液体源在垂直固体壁上形成的薄膜的动力学。该模型是使用润滑近似法得出的,包括重力,向上气流和表面张力的影响。当忽略表面张力时,发现临界源强度,在该临界源强度以下,薄膜由于气流而完全向上流动,并且在该临界强度以上,一些流动由于重力而向下流动。在这两种情况下,都会在有限源所在的区域上建立稳态。分析在远离源区域的两个方向上传播的冲击波。包括数值模拟以验证分析结果。对于包括表面张力的模型,将进行进一步的数值模拟。表面张力的存在,即使很小,
更新日期:2020-06-24
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