Numerical Simulation of Droplet Motion and Two-Phase Flow Field in an Oscillating Container
DOI:
https://doi.org/10.1260/1750-9548.5.1.35Abstract
The dynamic motion of the droplet in the oscillating flow field is simulated numerically using the arbitrary Lagrangian-Eulerian and level set coupled method. It is shown that radiating flows are generated from the droplet surface in the oscillating direction and the droplet moves toward the pressure node. The translational motion of the droplet is caused by the density variation, while the radiating flows are by the pressure variation. The flow field around the droplet in the oscillating container is found to be similar to that around the oscillating droplet in the stationary container.
References
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. https://doi.org/10.1103/physrevlett.75.4043
V. 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. https://doi.org/10.1063/1.1535410
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. https://doi.org/10.1016/s0301-9322(02)00012-5
Trinh, E. H. and Robey, J. L., Experimental Study of Streaming Flows Associated with Ultrasonic Levitators, Physics of Fluid, 1994, 6, 3567-3579. https://doi.org/10.1063/1.868415
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. https://doi.org/10.1063/1.869444
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. https://doi.org/10.1093/qjmam/hbl007
Sussman, M. and Smereka, P., Axisymmetric free boundary problems, Journal of Fluid Mechanics, 1997, 341, 269-294. https://doi.org/10.1017/s0022112097005570
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. https://doi.org/10.1016/0021-9991(74)90051-5
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. https://doi.org/10.1006/jcph.1996.0072
Amsden, A. A. and Harlow, F. H., A simplified MAC technique for incompressible fluid flow calculations, Journal of Computational Physics., 1970, 6, 322-325. https://doi.org/10.1016/0021-9991(70)90029-x
Benzi, M., Preconditioning techniques for large linear systems: a survey, Journal of Computational Physics., 2002, 182, 418-477. https://doi.org/10.1006/jcph.2002.7176
Liu, D. and Lin, P. A Numerical Study of Three-Dimensional Liquid Sloshing in Tanks, Journal of Computational Physics, 2008, 227, 3921-3939. https://doi.org/10.1016/j.jcp.2007.12.006
Schlichting, H., Boundary-Layer Theory, 7th edn., McGraw Hill, New York, 1979, 428-432.
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