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TECHNICAL BRIEFS

Capturing the Pinch-Off of Liquid Jets by the Level Set Method

J. Fluids Eng 125(5), 922-927 (Oct 07, 2003) (6 pages) doi:10.1115/1.1598986 History: Received August 21, 2002; Revised March 28, 2003; Online October 07, 2003
Copyright © 2003 by ASME
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References

Cohen,  I., Brenner,  M. P., Eggers,  J., and Nagel,  S. R., 1999, “Two Fluid Drop Snap-Off Problem: Experiments and Theory,” Phys. Rev. Lett., 83(6), pp. 1147–1150.
Wilkes,  E. D., Phillips,  S. D., and Basaran,  O. A., 1999, “Computational and Experimental Analysis of Drop Formation,” Phys. Fluids, 11(12), pp. 3577–3598.
Zhang,  W., and Lister,  J. R., 1999, “Similarity Solution for Capillary Pinch-Off in Fluids of Differing Viscosity,” Phys. Rev. Lett., 83(6), pp. 1151–1154.
Longmire,  E. K., Norman,  T. L., and Gefroh,  D. L., 2001, “Dynamics of Pinch-Off in Liquid/Liquid Jets With Surface Tension,” Int. J. Multiphase Flow, 27, pp. 1735–1752.
Chang,  Y. C., Hou,  T. Y., Merriman,  B., and Osher,  S., 1996, “A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows,” J. Comput. Phys., 124, pp. 449–464.
Osher,  S., and Fedkiw,  R. P., 2001, “Level Set Methods: An Overview and Some Recent Results,” J. Comput. Phys., 169, pp. 463–502.
Son,  G., Ramanujapu,  N., and Dhir,  V. K., 2002, “Numerical Simulation of Bubble Merger Process on a Single Nucleation Site During Pool Nucleate Boiling,” ASME J. Heat Transfer, 124, pp. 51–62.
Chung,  M., 2001, “A Level Set Approach for Computing Solutions to Inviscid Compressible Flow With Moving Solid Boundary Using Fixed Cartesian Grids,” Int. J. Multiphase Flow, 36, pp. 373–389.
Sussman,  M., Smereka,  P., and Osher,  S., 1994, “A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow,” J. Comput. Phys., 114, pp. 146–464.
Kashiwa, B. A., and Rauenzahn, R. M., 1994, “A Multi-Material Formulation,” Numerical Methods in Multiphase Flows, ASME, New York, ASME-FED-185 , pp. 149–157.
Kashiwa, B. A., Padial, N. T., Rauenzahn, R. M., and VanderHeyden, W. B., 1994, “A Cell-Centered ICE Method for Multiphase Flow Simulations,” ASME, New York, ASME-FED-185 , pp. 159–167.
Brackbill,  J. U., Kothe,  D. B., and Zemach,  C., 1992, “A Continuum Method for Modelling Surface Tension,” J. Comput. Phys., 100, pp. 335–354.

Figures

Grahic Jump Location
The iso-surface of liquid density from instantaneous flow field by numerical simulations. Mesh: Δx/D=Δy/D=Δz/D=3.125×10−2; domain: 52Δx×52Δy×400Δz. The jet diameter D is resolved by 32 grid points. (a) Case I (μio=0.17, Re=34) (b) Case II (μio=1.72, Re=35.2).
Grahic Jump Location
One cycle of jet disintegration for Case I (μio=0.17, Re=34). The time interval between the images is 1/9T. The pinchoff (t=0) is the second in each series. The images from computation show the iso-surface (three-dimensional) of zero level set function θ=0. (a) Experiment (reprinted from 4, copyright(2001), with permission from Elsevier Science). (b) Computation: Δx/D=Δy/D=Δz/D=6.667×10−2. (c) Computation: Δx/D=Δy/D=Δz/D=3.125×10−2.
Grahic Jump Location
One cycle of jet disintegration for Case II (μio=1.72, Re=35.2). The time interval between the images is 1/9T. The pinchoff (t=0) is the second in each series. The plots from computation show the contours (two-dimensional) of zero level set function θ=0 projected onto an azimuthal plane cutting through the axis of the jet. (a) Experiment (reprinted from 4, copyright (2001), with permission from Elsevier Science). (b) Computation: Δx/D=Δy/D=Δz/D=6.667×10−2. (c) Computation: Δx/D=Δy/D=Δz/D=3.125×10−2.
Grahic Jump Location
The axial velocity along the centerline of the jet for Case I (μio=0.17, Re=34), at different time during one cycle of disintegration. Symbols and lines represent the experimentally measured data and numerically calculated values, respectively. The phase corresponds to pinch is ϕ=0.
Grahic Jump Location
The radial profiles of axial velocity at an axial location (z/D=6.15) for Case I (μio=0.17, Re=34) at different time during one cycle of disintegration. Symbols and lines represent the experimentally measured data and numerically calculated values, respectively. The phase corresponds to pinch is ϕ=0.
Grahic Jump Location
The axial velocity along the centerline of the jet for Case II (μio=1.72, Re=35.2), at different time during one cycle of disintegration. Symbols and lines represent the experimentally measured data and numerically calculated values, respectively. The time corresponds to pinch is t=0 and the phases 0T,7/9T, respectively, correspond to ϕ=0, 280.
Grahic Jump Location
The radial profiles of axial velocity at a axial location (z/D=6) for Case II (μio=1.72, Re=35.2) at different time during one cycle of disintegration. Symbols and lines represent the experimentally measured data and numerically calculated values, respectively. The time corresponds to pinch off is t=0 and the phases 17/18T,1/18T,1/6T, respectively, correspond to ϕ=340, 20, 60.

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