A Numerical Study of a Droplet Impinging on a Liquid Surface

The Navier–Stokes equations for unsteady, incompressible, viscous fluids in the axisymmetric coordinate system are solved using a control volume method. The volume-of-fluid (VOF) technique is used to track the free-surface of the liquid. Model predictions are in good agreement with experimental measurements. It is found that the dynamic processes after impact are sensitive to the initial droplet velocity and the liquid pool depth. The time evolution of the crown height and diameter are obtained by numerical simulation. The critical We number for splashing (Wecr) is studied for Oh (Ohnesorge) numbers in the range of 0.01~0.1; the results compares well with those of the experiments.


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References:
[1] C. Josserand, and S. Zaleski, "Droplet splashing on a thin liquid film,"
Phys. Fluids, 15 (6), p.1650, 2003.
[2] H. Xie, S. Koshizuka, and Y. Oka, "Modeling of a single drop impact
onto liquid film using particle method," Int. J. Numer. Meth. Fluids, 45,
p.1009, 2004.
[3] M. Pasandideh-Fard, V. Pershin, S. Chandra, and J. Mostaghimi, "Splat
shapes in a thermal spray coating process: simulations and experiments,"
J. Thermal Spray Technology, 11, p.206, 2002.
[4] M. Bussman, J. Mostaghimi, and S. Chandra, "On a three-dimensional
volume tracking model of droplet impact," Phys. Fluids, 11 (6), p.1406,
1999.
[5] J. U. Brackbill, D. B. Kothe, and C. Zemach, "A continuum method for
modeling surface tension," J. Comput. Phys., 100, p.335, 1992.
[6] A. -B. Wang, and C. -C. Chen, "Splashing impact of a single drop onto
very thin liquid films," Phys. Fluids, 12, p.2155, 2000.