Articles Information
International Journal of Modern Physics and Applications, Vol.1, No.3, Jul. 2015, Pub. Date: Jul. 16, 2015
Numerical Simulation of Water Droplet Falling onto a Liquid Pool Under Zero Gravity Conditions Using Level Set Method
Pages: 106-111 Views: 3940 Downloads: 1428
Authors
[01]
Ashraf Balabel, Mechanical Engineering Dept., Faculty of Engineering, Taif University, Al-Haweiah, Taif, Saudi Arabia.
Abstract
The present paper presents a numerical simulation of a water droplet falling under a constant velocity onto a liquid pool. The governing equations are solved using the control volume approach on a non-staggered grid system. The topological changes of the liquid droplet and the liquid surface are predicted by means of the level set method. The obtained results showed that the numerical method developed is capable to predict the resulting dynamics of such complex phenomenon in a simplified and accurate way. The remarkable capability of the developed numerical method in predicting two-phase flow dynamics enables us to predict further a wide range of two-phase flow industrial and engineering applications.
Keywords
Droplet Dynamics, Level Set Method, Zero Gravity, Numerical Simulation, Two-Phase Flows
References
[01]
Fuster, D., Agbaglah, G., Josserand, C., Popinet, S. and Zaleski, S., Numerical simulation of droplets, bubbles and waves: state of the art, Fluid Dyn. Res. 41: 1-24, 2009.
[02]
Lefebvre, A. H., Atomization and sprays, Hemisphere Publishing Corporation, 1989.
[03]
Kolev N.I., Multiphase flow dynamics: Thermal and Mechanical Interaction", Springer, 2007.
[04]
Yang V., Habiballah M., Hulka J. and Popp M., Liquid Rocket Thrust Chambers: Aspects of Modeling, Analysis, and Design", American Institute of Aeronautics and Astronautics, Inc., 2004.
[05]
Linne M., Paciaroni M., Hall T., and Parker T., Ballistic imaging of the near field in a dense spray", Exp. Fluids., 49(4): 911-923, 2006
[06]
Menard T., Tanguy S. and Berlemont A., Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet, Int. J. Multiphase Flow, 33: 510-524, 2007.
[07]
Desjardins, O., Moureau, V. and Pitsch, H., An accurate conservative level set/ghost fluid method for simulating turbulent atomization, Journal of Computational Physics, 227: 8395–8416, 2008.
[08]
Sussman, M. , Smereka, P. and Osher, S., A level set approach for computing solutions to incompressible two-phase flows, J. Comp. Physics, 114, 146-159, 1994.
[09]
Eggers, J., Nonlinear Dynamics and Breakup of Free-Surface Flow, Rews. Modern Phys., 69(3): 865–929, 1997.
[10]
Crowe C. T., Troutt T. R. and Chung J. N., Numerical models for two-phase turbulent flows", Annu. Rev. Fluid Mech., 28:11-43, 1996.
[11]
Shinjo J. and Umemura A., Simulation of liquid primary breakup: Dynamics of ligament and droplet formation", Int. J. Multiphase Flow, 36(7): 513-532, 2010.
[12]
Osher, S. and Fedkiw, R. P.., Level set methods: An overview and some recent results, J. Comp. Phys., 169, 463-502, 2001.
[13]
Sethian, J. A. and Smereka, P., Level set methods for fluid interfaces, Annu. Rev. Fluid, Mech., 35, 341-372, 2003.
[14]
Nichols B. D. and Hirt C. W., Methods for calculating multi-dimensional, transient free surface flows past bodies, Proc. First Int. Conf. Num. Ship Hydrodynamics Gaithersburg, 20–23, 1975.
[15]
Osher S. and Sethian J. A., Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations, Journal of Computational Physics, 79: 12–49, 1988.
[16]
Li, Z., Jaberi, F. A. and Shih, T., A hybrid Lagrangian–Eulerian particle-level set method for numerical simulations of two-fluid turbulent flows, Int. J. Num. Methods in Fluids, 56: 2271-2300, 2008.
[17]
Scardovelli, R. and Zaleski, S., Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech., 31: 567–603, 1999.
[18]
Peters N., Turbulent combustion", Cambridge University Press, Cambridge, UK, 2000.
[19]
Balabel, A., Binninger,B., Herrmann, M., and Peters, N., Calculation of Droplet Deformation by Surface Tension Effects using the Level Set Method, Combust. Sci. Technology , 174(11-12): 257–278, 2002.
[20]
Balabel A., Numerical prediction of droplet dynamics in turbulent flow, using the level set method, International Journal of Computational Fluid Dynamics, 25(5): 239-235, 2011.
[21]
Balabel, A., Numerical simulation of two-dimensional binary droplets collision outcomes using the level set method, International Journal of Computational Fluid Dynamics, vol. 26, no. 1, pp. 1-21, 2012.
[22]
Balabel, A., Numerical modeling of turbulence-induced interfacial instability in two-phase flow with moving interface Applied Mathematical Modelling, vol. 36, pp. 3593–3611, 2012.
[23]
Balabel, A., Numerical Modelling of Turbulence Effects on Droplet Collision Dynamics using the Level Set Method. Computer Modeling in Engineering and Sciences (CMES), vol. 89, no.4, pp. 283-301, 2012.
[24]
Balabel, A., Numerical modeling of turbulence-induced interfacial instability in two-phase flow with moving interface, Applied Mathematical Modelling, vol. 36, no. 8, pp. 3593-3611, 2012.
[25]
Balabel, A., Numerical prediction of droplet dynamics in turbulent flow, using the level set method. International Journal of Computational Fluid Dynamics, vol. 25, no. 5, pp. 239-253, 2012.
[26]
Balabel, A., Numerical Modelling of Liquid Jet Breakup by Different Liquid Jet/Air Flow Orientations Using the Level Set Method, Computer Modeling in Engineering and Sciences (CMES), vol. 95, no.4, pp. 283-302, 2013.
[27]
Balabel, A., A Generalized Level Set-Navier Stokes Numerical Method for Predicting Thermo-Fluid Dynamics of Turbulent Free Surface. Computer Modeling in Engineering and Sciences (CMES), vol. 83, no. 6, pp. 599-638, 2012.
[28]
Bahni R., Gautam B. and Ashutosh S., Regimes during liquid drop impact on a liquid pool, J. Fluid Mech., vol. 768, pp. 492-523, 2015.