Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 264
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Brenn, Günter 2017. Analytical Solutions for Transport Processes.

    Ashoke Raman, Kuppa Jaiman, Rajeev K. Lee, Thong-See and Low, Hong-Tong 2016. Lattice Boltzmann study on the dynamics of successive droplets impact on a solid surface. Chemical Engineering Science, Vol. 145, p. 181.

    Baron, David Su, Haiyan and Vaidya, Ashwin 2016. Splash Dynamics of Paint on Dry, Wet, and Cooled Surfaces. Fluids, Vol. 1, Issue. 2, p. 12.

    Chai, Min Luo, Kun Shao, Changxiao Chen, Song and Fan, Jianren 2016. DNS Analysis of Incipient Drop Impact Dynamics Using an Accurate Level Set Method. Chinese Journal of Chemical Engineering,

    Charalampous, George and Hardalupas, Yannis 2016. 54th AIAA Aerospace Sciences Meeting.

    Coquerelle, Mathieu and Glockner, Stéphane 2016. A fourth-order accurate curvature computation in a level set framework for two-phase flows subjected to surface tension forces. Journal of Computational Physics, Vol. 305, p. 838.

    Guildenbecher, Daniel R. Cooper, Marcia A. and Sojka, Paul E. 2016. High-speed (20  kHz) digital in-line holography for transient particle tracking and sizing in multiphase flows. Applied Optics, Vol. 55, Issue. 11, p. 2892.

    Guo, Yisen Lian, Yongsheng and Sussman, Mark 2016. Investigation of drop impact on dry and wet surfaces with consideration of surrounding air. Physics of Fluids, Vol. 28, Issue. 7, p. 073303.

    Guo, Yisen and Lian, Yongsheng 2016. 8th AIAA Atmospheric and Space Environments Conference.

    Hann, D. B. Cherdantsev, A. V. Mitchell, A. McCarthy, I. N. Hewakandamby, B. N. and Simmons, K. 2016. A study of droplet impact on static films using the BB-LIF technique. Experiments in Fluids, Vol. 57, Issue. 4,

    Ishihara, Hidetaka Chen, Wenjun Chen, Yen-Chang Sarang, Som De Marco, Nicholas Lin, Oliver Ghosh, Sayantani and Tung, Vincent 2016. Electrohydrodynamically Assisted Deposition of Efficient Perovskite Photovoltaics. Advanced Materials Interfaces, Vol. 3, Issue. 9, p. 1500762.

    Josserand, C. and Thoroddsen, S.T. 2016. Drop Impact on a Solid Surface. Annual Review of Fluid Mechanics, Vol. 48, Issue. 1, p. 365.

    Kim, Inchul Bachchan, Nili and Peroomian, Oshin 2016. Supercooled Large Droplet Modeling for Aircraft Icing Using an Eulerian–Eulerian Approach. Journal of Aircraft, Vol. 53, Issue. 2, p. 487.

    Kuhlman, John M. and Hillen, Nicholas L. 2016. Droplet impact cavity film thickness measurements versus time after drop impact and cavity radius for thin static residual liquid layer thicknesses. Experimental Thermal and Fluid Science, Vol. 77, p. 246.

    Li, Long Jia, Xiaodong Liu, Yongwen and Su, Ming 2016. Simulation of double droplets impact on liquid film by a simplified lattice Boltzmann model. Applied Thermal Engineering, Vol. 98, p. 656.

    Liang, Gangtao Mu, Xingsen Guo, Yali and Shen, Shengqiang 2016. Crown and drop rebound on thin curved liquid films. International Journal of Heat and Mass Transfer, Vol. 98, p. 455.

    Liang, Gangtao and Mudawar, Issam 2016. Review of mass and momentum interactions during drop impact on a liquid film. International Journal of Heat and Mass Transfer, Vol. 101, p. 577.

    Liu, Hong Yan, Yan’an Jia, Ming Xie, Maozhao and Lee, Chia-fon F. 2016. Three-dimensional numerical investigation on wall film formation and evaporation in port fuel injection engines. Numerical Heat Transfer, Part A: Applications, Vol. 69, Issue. 12, p. 1405.

    Nouhou Bako, Amina Darboux, Frédéric James, François Josserand, Christophe and Lucas, Carine 2016. Pressure and shear stress caused by raindrop impact at the soil surface: Scaling laws depending on the water depth. Earth Surface Processes and Landforms, Vol. 41, Issue. 9, p. 1199.

    Qiu, Lu Dubey, Swapnil Choo, Fook Hoong and Duan, Fei 2016. The transitions of time-independent spreading diameter and splashing angle when a droplet train impinging onto a hot surface. RSC Adv., Vol. 6, Issue. 17, p. 13644.

  • Journal of Fluid Mechanics, Volume 283
  • January 1995, pp. 141-173

Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity

  • A. L. Yarin (a1) and D. A. Weiss (a2) (a3) (a4)
  • DOI:
  • Published online: 01 April 2006

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.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *