Curvature singularity and film-skating during drop impact

被引:64
作者
Duchemin, Laurent [1 ,2 ]
Josserand, Christophe [3 ,4 ]
机构
[1] CNRS, IRPHE, F-13013 Marseille, France
[2] Aix Marseille Univ, F-13013 Marseille, France
[3] CNRS, Inst DAlembert, F-75005 Paris, France
[4] Univ Paris 06, UPMC, UMR 7190, F-75005 Paris, France
关键词
aerodynamics; air; drops; flow instability; jets; liquid films; lubrication; surface tension; thin films; two-phase flow; viscosity; SURFACE; AIR;
D O I
10.1063/1.3640028
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the influence of the surrounding gas in the dynamics of drop impact on a smooth surface. We use an axisymmetric model for which both the gas and the liquid are incompressible; lubrication regime applies for the gas film dynamics and the liquid viscosity is neglected. In the absence of surface tension a finite time singularity whose properties are analysed is formed and the liquid touches the solid on a circle. When surface tension is taken into account, a thin jet emerges from the zone of impact, skating above a thin gas layer. The thickness of the air film underneath this jet is always smaller than the mean free path in the gas suggesting that the liquid film eventually wets the surface. We finally suggest an aerodynamical instability mechanism for the splash. (C) 2011 American Institute of Physics. [doi:10.1063/1.3640028]
引用
收藏
页数:4
相关论文
共 18 条
[1]   Maximal deformation of an impacting drop [J].
Clanet, C ;
Béguin, C ;
Richard, D ;
Quéré, D .
JOURNAL OF FLUID MECHANICS, 2004, 517 :199-208
[2]  
COANTIC M, 1980, PHYSICOCHEM HYDRODYN, V1, P249
[3]   Nonlinear dynamics and breakup of free-surface flows [J].
Eggers, J .
REVIEWS OF MODERN PHYSICS, 1997, 69 (03) :865-929
[4]   Air cushioning and bubble entrapment in three-dimensional droplet impacts [J].
Hicks, Peter D. ;
Purvis, Richard .
JOURNAL OF FLUID MECHANICS, 2010, 649 :135-163
[5]   Droplet impact on a dry surface: triggering the splash with a small obstacle [J].
Josserand, C ;
Lemoyne, L ;
Troeger, R ;
Zaleski, S .
JOURNAL OF FLUID MECHANICS, 2005, 524 :47-56
[6]   Droplet splashing on a thin liquid film [J].
Josserand, C ;
Zaleski, S .
PHYSICS OF FLUIDS, 2003, 15 (06) :1650-1657
[7]   Trapping of air in impact between a body and shallow water [J].
Korobkin, A. A. ;
Ellis, A. S. ;
Smith, F. T. .
JOURNAL OF FLUID MECHANICS, 2008, 611 (365-394) :365-394
[8]   Shape and stability of axisymmetric levitated viscous drops [J].
Lister, John R. ;
Thompson, Alice B. ;
Perriot, Antoine ;
Duchemin, Laurent .
JOURNAL OF FLUID MECHANICS, 2008, 617 (167-185) :167-185
[9]   Precursors to Splashing of Liquid Droplets on a Solid Surface [J].
Mandre, Shreyas ;
Mani, Madhav ;
Brenner, Michael P. .
PHYSICAL REVIEW LETTERS, 2009, 102 (13)
[10]   Events before droplet splashing on a solid surface [J].
Mani, Madhav ;
Mandre, Shreyas ;
Brenner, Michael P. .
JOURNAL OF FLUID MECHANICS, 2010, 647 :163-185