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The Initial Stage of Liquid Drop Impingement onto a Curved Surface
Lobachevskii Journal of Mathematics Pub Date : 2021-10-01 , DOI: 10.1134/s1995080221090146
T. S. Guseva 1
Affiliation  

Abstract

The simplified analysis of the initial jetless stage of high-speed drop impingement onto a convex solid surface recently proposed by Burson-Thomas et al. (2019) has been extended to a concave surface with the radius of curvature larger than the drop radius. An approximate approach has also been proposed to incorporate the surface curvature into Heymann’s analysis (1969) based on the Rankine–Hugoniot equations. It has been shown that the simplified analysis predicts a significantly longer initial stage than Heymann’s analysis. As opposed to the convex surface, the duration of the initial jetless stage and the corresponding size of the contact area for the concave surface are larger than for the flat one. For both convex and concave surfaces, the effect of the surface curvature is significant when the radii of curvature of the surface and the drop are nearly equal, and is almost absent if the ratio of the radii is more than 10.



中文翻译:

液滴撞击曲面的初始阶段

摘要

Burson-Thomas 等人最近提出的对高速液滴撞击凸形固体表面的初始无喷射阶段的简化分析。(2019) 已经扩展到曲率半径大于液滴半径的凹面。还提出了一种近似方法,将表面曲率纳入基于 Rankine-Hugoniot 方程的 Heymann 分析 (1969)。已经表明,简化分析预测的初始阶段明显长于海曼的分析。与凸面相反,初始无喷射阶段的持续时间和凹面的相应接触面积比平面大。对于凸面和凹面,

更新日期:2021-10-02
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