Pyramidal and toroidal water drops after impact on a solid surface

被引:203
作者
Renardy, Y
Popinet, S
Duchemin, L
Renardy, M
Zaleski, S
Josserand, C
Drumright-Clarke, MA
Richard, D
Clanet, C
Quéré, D
机构
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
[2] Virginia Tech, ICAM, Blacksburg, VA 24061 USA
[3] Natl Inst Water & Atmospher Res, Wellington, New Zealand
[4] Univ Paris 06, CNRS UMR 7607, Modelisat Mecan Lab, F-75015 Paris, France
[5] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[6] Inst Rech Phenomenes Hors Equilibre, UMR 6594 CNRS, F-13384 Marseille, France
[7] Coll France, URA 792 CNRS, Phys Mat Condensee Lab, F-75231 Paris 05, France
关键词
D O I
10.1017/S0022112003004142
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Superhydrophobic surfaces generate very high contact angles as a result of their microstructure. The impact of a water drop on such a surface shows unusual features, such as total rebound at low impact speed. We report experimental and numerical investigations of the impact of approximately spherical water drops. The axisymmetric free surface problem, governed by the Navier-Stokes equations, is solved numerically with a front-tracking marker-chain method on a square grid. Experimental observations at moderate velocities and capillary wavelength much less than the initial drop radius show that the drop evolves to a staircase pyramid and eventually to a torus. Our numerical simulations reproduce this effect. The maximal radius obtained in numerical simulations precisely matches the experimental value. However, the large velocity limit has not been reached experimentally or numerically. We discuss several complications that arise at large velocity: swirling motions observed in the cross-section of the toroidal drop and the appearance of a thin film in the centre of the toroidal drop. The numerical results predict the dry-out of this film for sufficiently high Reynolds and Weber numbers. When the drop rebounds, it has a top-heavy shape. In this final stage, the kinetic energy is a small fraction of its initial value.
引用
收藏
页码:69 / 83
页数:15
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