Short-term dynamics of a density interface following an impact

被引:90
作者
Antkowiak, A. [1 ]
Bremond, N. [1 ]
Le Dizes, S. [1 ]
Villermaux, E. [1 ]
机构
[1] Aix Marseille Univ, CNRS, IRPHE, F-13384 Marseille 13, France
关键词
D O I
10.1017/S0022112007005058
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A tube filled with a perfectly wetting liquid falls axially under its own weight. In its gravity-free reference frame, the liquid interface is deformed by surface tension into a hemispherical shape. On impact of the tube on a rigid floor, the interface curvature reverses violently, forming a concentrated jet. If the contact angle at the tube wall is such that the interface is flat, the liquid rebounds as a whole with the tube, with no deformation. We analyse this phenomenon using an impulse pressure description, providing an exact description of the initial liquid velocity field at the impact, supported by high-speed image velocimetry measurements. This initial dynamics is insensitive to liquid surface tension and viscosity.
引用
收藏
页码:241 / 250
页数:10
相关论文
共 11 条
[1]  
Batchelor David., 2000, An Introduction to Fluid Dynamics
[2]   COLLAPSE OF CAVITATION BUBBLES AND PRESSURES THEREBY PRODUCED AGAINST SOLID BOUNDARIES [J].
BENJAMIN, TB ;
ELLIS, AT .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 260 (1110) :221-&
[3]   EXPLOSIVES WITH LINED CAVITIES [J].
BIRKHOFF, G ;
MACDOUGALL, DP ;
PUGH, EM ;
TAYLOR, G .
JOURNAL OF APPLIED PHYSICS, 1948, 19 (06) :563-582
[4]  
Blanchard D. C., 1967, RAINDROPS VOLCANOES
[5]   PRESSURE-IMPULSE THEORY FOR LIQUID IMPACT PROBLEMS [J].
COOKER, MJ ;
PEREGRINE, DH .
JOURNAL OF FLUID MECHANICS, 1995, 297 :193-214
[6]  
Knight R.C., 1936, QUART J MATH, V7, P124
[7]  
Lavrentiev M., 1980, Effets Hydrodynamiques et Modeles Mathematiques
[8]   BUBBLES, BREAKING WAVES AND HYPERBOLIC JETS AT A FREE-SURFACE [J].
LONGUETHIGGINS, MS .
JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) :103-121
[9]   Analysis and treatment of errors due to high velocity gradients in particle image velocimetry [J].
Meunier, P ;
Leweke, T .
EXPERIMENTS IN FLUIDS, 2003, 35 (05) :408-421
[10]   Granular jets [J].
Thoroddsen, ST ;
Shen, AQ .
PHYSICS OF FLUIDS, 2001, 13 (01) :4-6