The deformation of a free surface due to the impact of a water droplet

Kwon, Sun-Hong;Park, Chang-Woo;Lee, Seung-Hun;Shin, Jae-Young;Choi, Young-Myung;Chung, Jang-Young;Isshiki, Hiroshi

  • 투고 : 2010.11.28
  • 심사 : 2011.02.08
  • 발행 : 2011.03.02


An attempt was made to compute the free surface deformation due to the impact of a water droplet. The Cauchy Poisson, i.e. the initial value problem, was solved with the kinematic and dynamic free surface boundary conditions linearized. The zero order Hankel transformation and Laplace transform were applied to the related equations. The initial condition for the free surface profile was derived from a captured video image. The effect of the surface tension was not significant with the water mass used in this investigation. The computed and observed free surface deformations were compared.


Free surface deformation;bubble generation;Hankel transformation;Laplace transformation;Surface tension effect


  1. Robert Dautray, Jacques-Louis Lions, Mathematical analysis and numerical methods for science and technology,vol.2, functional analysis and variational methods, Springer(1985)
  2. Lokenath Debnath, Nonlinear water waves, Academic Press, INC(1994)
  3. John W.Miles, The Cauchy-Poisson problem for a viscous liquid, J. Fluid Mech. Vol.34, part2, (1968) 359-370


연구 과제 주관 기관 : National Research Foundation of Korea(NRF)