Journal Article10.1017/S0022112095002266
Impact of drops on solid surfaces : self-similar capillary waves, and splashing as a new type of kinematic discontinuity
Alexander L. Yarin,D. A. Weiss +1 more
TL;DR: In this paper, the impact of drops impinging one by one on a solid surface is studied experimentally and theoretically, and it is shown that the splashing threshold corresponds to the onset of a velocity discontinuity propagating over the liquid layer on the wall.
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Abstract: The impact of drops impinging one by one on a solid surface is studied experimentally and theoretically. The impact process is observed by means of a charge-coupled-device camera, its pictures processed by computer. Low-velocity impact results in spreading and in propagation of capillary waves, whereas at higher velocities splashing (i.e. the emergence of a cloud of small secondary droplets, absent in the former case) sets in. Capillary waves are studied in some detail in separate experiments. The dynamics of the extension of liquid lamellae produced by an impact in the case of splashing is recorded. The secondary-droplet size distributions and the total volume of these droplets are measured, and the splashing threshold is found as a function of the impact parameters.The pattern of the capillary waves is predicted to be self-similar. The calculated wave profile agrees well with the experimental data. It is shown theoretically that the splashing threshold corresponds to the onset of a velocity discontinuity propagating over the liquid layer on the wall. This discontinuity shows several aspects of a shock. In an incompressible liquid such a discontinuity can only exist in the presence of a sink at its front. The latter results in the emergence of a circular crown-like sheet virtually normal to the wall and propagating with the discontinuity. It is predicted theoretically and recorded in the experiment. The crown is unstable owing to the formation of cusps at the free rim at its top edge, which results in the splashing effect. The onset velocity of splashing and the rate of propagation of the kinematic discontinuity are calculated and the theoretical results agree fairly well with the experimental data. The structure of the discontinuity is shown to match the outer solution.
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References
Linear and Nonlinear Waves
G. B. Whitham,T. C. T. Ting +1 more
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for the purpose of ondes ; chocs ; onde de : choc reference record.
5.2K
The formation of emulsions in definable fields of flow
TL;DR: The physical and chemical condition of emulsions of two fluids which do not mix has been the subject of many studies, but very little seems to be known about the mechanics of the stirring processes which are used in making them.
2.6K
•Book
The Mathematical Theory of Combustion and Explosions
Ia.B. Zeldovich,Grigory Isaakovich Barenblatt,V.B. Librovich,G.M. Makhviladze +3 more
- 01 Jan 1985
TL;DR: In this paper, various topics in the area of combustion and explosives are discussed, including basic physical concepts of the science of combustion, the time-independent theory of thermal explosions, time-dependent statement of the problem of the initiation of chemical reaction waves in fuel mixtures, laminar flames, complex and chain reactions in flames, the gas dynamics of combustion dynamics, and diffusional combustion of gases.
1.9K
•Book
The Theory of Turbulent Jets
G N. Abramovich
- 17 Mar 2003
TL;DR: In this paper, the authors present the theory of the boundary layer of a two-dimensional Turbulent Jet of Incompressible Fluid and its application to heat and diffusion problems, and determine the temperature profile in a Jet on the basis of the New Prandtl-Gortler Theory of Turbulence.
1.2K