Numerical simulation of oscillating flow field including a droplet


  • T Watanabe



The oscillating flow field including a droplet is simulated numerically by solving the Navier-Stokes equations using the arbitrary Lagrangian-Eulerian and level set coupled method. The oscillating pressure and velocity fields are shown to be simulated well. Parallel computations with a fine grid system are performed, and it is found that the surface-layer flow on the droplet is oscillating with a different timing and reversed before the reversal of the bulk flow. The acoustic streaming with large vortices is shown to appear in the average flow field.


Herview, E., Coutris, N. and Boichon, C., Oscillations of a drop in aerodynamic levitation, Nuclear Engineering and Design., 2001, 204, 167-175.

Lee, J, Bradsaw, R. C., Hyers, R. W., Rogers, J. R., Tathz, T. J., Wall, J. J., Choo, H. And Liaw, P. K., Non-contact measurement of creep resistance of ultra-high-temperature materials, Materials Science and Engineering A, 2007, 463, 185-196.

Okada, J., Ishikawa, T., Watanabe, Y. And Paradis, P., Surface tension and viscosity of molten vanadium measured with an electrostatic levitation furnace, Journal of Chemical Thermodynamics, 2010, 42, 856-859.

Egry, I., Lohoefer, G. and Jacobs, G., Surface tension of liquid metals: results from measurements on ground and in space, Physical Review Letters, 1995, 75, 4043-4046.

Shatrov, V., Priede, J. and Gerbeth, G., Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field, Physics of Fluid, 2003, 15, 668-678.

Rhim, W. K. and Chung, S. K., Isolation of cystallizing droplets by eectrostatic lvitation, Methods: A Companion to Methods in Enzymology, 1990, 1, 118-127.

Yarin, A. L., Weiss, D. A., Brenn, G. and Rensink, D., Acoustically levitated drops: drop oscillation and break-up driven by ultrasound modulation, Journal of Multiphase Flow, 2002, 28, 887-910.

Tanaka, R., Matsumoto, S., Kaneko, A. and Abe, Y., The effect of rotation on resonant frequency of interfacial oscillation of a droplet using electrostatic levitator, Journal of Physics: Conference Series, 2011, 327, 012021.

Trinh, E. H. and Robey, J. L., Experimental study of streaming flows associated with ultrasonic levitators, Physics of Fluid, 1994, 6, 3567-3579.

Yarin, L. L., Brenn, G., Keller, J., Pfaffenlehner, M, Ryssel, E. and Tropea, C., Flowfield characteristics of an aerodynamic acoustic levitator, Physics of Fluid, 1997, 9, 3300-3314.

Rednikov, A. Y., Zhao, H., Sadhal, S. S. and Trinh, E. H., Steady streaming around a spherical drop displaced from the velocity antinode in an acoustic levitation field, Journal of Acoustic Society of America, 1999, 106, 3289-3295.

Sussman, M. and Smereka, P., Axisymmetric free boundary problems, Journal of Fluid Mechanics, 1997, 341, 269-294.

Hirt, C. W., Amsden, A. A. and Cook, J. L., An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, 1974, 14, 227-253.

Chang, Y. C., Hou, T. Y., Merriman, B. and Osher, S., A level set formulation of Eulerian interface capturing methods for incompressible fluid flows, Journal of Computational Physics, 1996, 142, 449-464.

Watanabe, T., Nonlinear oscillations and rotations of a liquid droplet, International Journal of Geology, 2010, 4, 5-13.

Amsden, A. A. and Harlow, F. H., A simplified MAC technique for incompressible fluid flow calculations, Journal of Computational Physics, 1970, 6, 322-325.

Watanabe, T., Flow field and oscillation frequency of a rotating liquid droplet, WSEAS Transactions on Fluid Mechanics, 2008, 3, 164-174.

Watanabe, T., Parallel computations of droplet oscillations, Lecture Note in Computational Science and Engineering, 2009, 67, 163-170.

Xie, W. J. and Wei, B., Sound field inside acoustically leveitated spherical drop, Applied physics letters, 2007, 90, 204104.

Schlichting, H., Boundary-Layer Theory, seventh ed., McGraw Hill, Inc. New York, 1979, 431.



How to Cite

Watanabe, T. (2013) “Numerical simulation of oscillating flow field including a droplet”, The International Journal of Multiphysics, 7(1), pp. 19-30. doi: 10.1260/1750-9548.7.1.19.




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