Early azimuthal instability during drop impact

被引:34
作者
Li, E. Q. [1 ,2 ]
Thoraval, M. -J. [1 ,3 ]
Marston, J. O. [1 ,4 ]
Thoroddsen, S. T. [1 ]
机构
[1] King Abdullah Univ Sci & Technol, Div Phys Sci & Engn, Thuwal 239556900, Saudi Arabia
[2] Univ Sci & Technol China, Dept Modern Mech, Hefei 230027, Anhui, Peoples R China
[3] Xi An Jiao Tong Univ, Int Ctr Appl Mech, Shaanxi Key Lab Environm & Control Flight Vehicle, State Key Lab Strength & Vibrat Mech Struct,Sch A, Xian 710049, Shaanxi, Peoples R China
[4] Texas Tech Univ, Dept Chem Engn, Lubbock, TX 79409 USA
基金
中国国家自然科学基金;
关键词
capillary flows; drops and bubbles; interfacial flows (free surface); SOLID-SURFACE; 3-DIMENSIONAL THEORY; BUBBLE ENTRAPMENT; WAGNER PROBLEM; EJECTA SHEET; LIQUID-FILMS; WATER IMPACT; AIR; EVOLUTION; SPHERE;
D O I
10.1017/jfm.2018.383
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
When a drop impacts on a liquid surface its bottom is deformed by lubrication pressure and it entraps a thin disc of air, thereby making contact along a ring at a finite distance from the centreline. The outer edge of this contact moves radially at high speed, governed by the impact velocity and bottom radius of the drop. Then at a certain radial location an ejecta sheet emerges from the neck connecting the two liquid masses. Herein, we show the formation of an azimuthal instability at the base of this ejecta, in the sharp corners at the two sides of the ejecta. They promote regular radial vorticity, thereby breaking the axisymmetry of the motions on the finest scales. The azimuthal wavenumber grows with the impact Weber number, based on the bottom curvature of the drop, reaching over 400 streamwise streaks around the periphery. This instability occurs first at Reynolds numbers (Re) of similar to 7000, but for larger Re is overtaken by the subsequent axisymmetric vortex shedding and their interactions can form intricate tangles, loops or chains.
引用
收藏
页码:821 / 835
页数:15
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