Crown behavior in drop impact on wet walls

Physics of Fluids

Volumn 19, Issue 5, 2007, Pages

  Mukherjee, Shiladitya ^a   Abraham, John ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DENSITY OF GASES; FILM THICKNESS; LIQUID FILMS; MATHEMATICAL MODELS; VISCOSITY OF GASES;

CROWN BEHAVIOR; DROP IMPINGEMENT; LATTICE-BOLTZMANN MODEL;

DROP BREAKUP;

BOLTZMANN EQUATION; COMPUTATIONAL FLUID DYNAMICS; DENSITY OF GASES; DROP BREAKUP; FILM THICKNESS; LIQUID FILMS; MATHEMATICAL MODELS; VISCOSITY OF GASES;

EID: 34250022423     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2736085     Document Type: Article

References (42)

1. A. M. Worthington, "On the forms assumed by drops of liquids falling vertically on a horizontal plate," Proc. R. Soc. London PRSLAZ0370-166210.1098/rspl.1876.0048 25, 261 (1876).
2. N. H. Oguz and A. Prosperetti, "Bubble entrainment by the impact of drops on liquid surfaces," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112090002890 219, 143 (1990).
3. S. Chandra and C. T. Avedisian, "On the collision of a droplet with a solid surface," Proc. R. Soc. London, Ser. A PRLAAZ1364-502110.1098/rspa.1991.0002 432, 13 (1991).
4. C. Mundo, M. Sommerfeld, and C. Tropea, "Droplet-wall collisions: Experimental studies of the deformation and breakup process," Int. J. Multiphase FlowI JMFBP0301-932210.1016/0301-9322(94)00069-V 21, 151 (1995).
5. G. E. Cossali, A. Coghe, and M. Marengo, "The impact of a single drop on a wetted solid surface," Exp. Fluids EXFLDU0723-486410.1007/ s003480050073 22, 463 (1997).
6. S. T. Thoroddsen, "The ejecta sheet generated by the impact of a drop," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002002434 451, 373 (2002).
7. R. Rioboo, C. Bauthier, J. Conti, M. Voue, and J. De Coninck, "Experimental investigation of splash and crown formation during single drop impact on wetted surfaces," Exp. Fluids EXFLDU0723-486410.1007/s00348-003-0719-5 35, 648 (2003).
8. A. Prosperetti and H. N. Oguz, "The impact of drops on liquid surfaces and the underwater noise of rain," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.25.1.577 25, 577 (1993).
9. M. Rein, "Phenomena of liquid drop impact on solid and liquid surfaces," Fluid Dyn. Res. FDRSEH0169-598310.1016/ 0169-5983(93)90106-K 12, 61 (1993).
10. A. L. Yarin, "Drop impact dynamics: Splashing, spreading, receding, bouncing...," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.38.050304.092144 38, 159 (2006).
11. A. L. Yarin and D. A. Weiss, "Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112095002266 283, 141 (1995).
12. M. F. Trujillo and C. F. Lee, "Modeling crown formation due to the splashing of a droplet," Phys. Fluids PHFLE61070-663110.1063/ 1.1388541 13, 2503 (2001).
13. I. V. Roisman and C. Tropea, "Impact of a drop onto a wetted wall: description of crown formation and propagation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002002434 472, 373 (2002).
14. G. E. Cossali, M. Marengo, M. A. Coghe, and S. Zhdanov, "The role of time in single drop splash on thin film," Exp. Fluids EXFLDU0723-486410.1007/s00348-003-0772-0 36, 888 (2004).
15. D. A. Weiss and A. L. Yarin, "Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation," J. Fluid Mech. JFLSA70022-112010.1017/S002211209800411X 385, 229 (1999).
16. M. Reiber and A. Frohn, "A numerical study on the mechanism of splashing," Int. J. Heat Mass TransferI JHMAK0017-9310 20, 455 (1999).
17. C. Josserand and S. Zaleski, "Droplet splashing on a thin liquid film," Phys. Fluids PHFLE61070-663110.1063/1.1572815 15, 1650 (2003).
18. N. Nikolopoulos, A. Theodorakakos, and G. Bergeles, "Normal impingement of a droplet onto a wall film: A numerical investigation," Int. J. Heat Mass TransferI JHMAK0017-9310 26, 119 (2005).
19. R. Benzi, S. Succi, and M. Vergassola, "The lattice Boltzmann equation: Theory and applications," Phys. Rep. PRPLCM0370-157310.1016/0370-1573(92)90090-M 222, 145 (1992).
20. X. Shan and H. Chen, "Lattice Boltzmann model for simulating flows with multiple phases and components," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.47.1815 47, 1815 (1993).
21. M. Swift, W. Osborn, and J. Yeomans, "Lattice Boltzmann simulations of nonideal fluids," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.75.830 75, 830 (1995).
22. S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.30.1.329 30, 329 (1998).
23. X. He, S. Chen, and R. Zhang, "A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor Instability," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1999.6257 152, 642 (1999).
24. R. Nourgaliev, T. Dinh, T. Theofanous, and D. Joseph, "The lattice-Boltzmann equation method: Theoretical interpretation, numerics and implications," Int. J. Multiphase FlowI JMFBP0301-932210.1016/ S0301-9322(02)00108-8 29, 117 (2003).
25. T. Inamuro, T. Ogata, S. Tajima, and N. Konishi, "A lattice Boltzmann method for incompressible two-phase flows with large density differences," J. Comput. Phys. JCTPAH0021-999110.1016/ j.jcp.2004.01.019 198, 628 (2004).
26. K. N. Premnath and J. Abraham, "Simulations of binary drop collisions with a multiple-relaxation-time lattice-Boltzmann model," Phys. Fluids PHFLE61070-663110.1063/1.2148987 17, 122105 (2005).
27. M. E. McCracken and J. Abraham, "Simulations of liquid break up with an axisymmetric, multiple relaxation time, index-function lattice-Boltzmann model," Int. J. Mod. Phys. C IJMPEO0129-183110.1142/S0129183105008291 16, 1671 (2005).
28. T. Lee and C. L. Lin, "A table discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio," J. Comput. Phys. JCTPAH0021-999110.1016/ j.jcp.2004.12.001 206, 16 (2005).
29. D. d'Humières, in Rarefied Gas Dynamics: Theory and Simulations. Progress in Astronautics and Aeronautic (American Institute of Aeronautics and Astronautics, Washington, D.C., 1992), Vol. 159, pp. 450-458.
30. P. Lallemand and L. S. Luo, "Theory of the lattice Boltzmann method: Dispersion, isotropy, Galilean invariance and stability," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.61.6546 61, 6546 (2002).
31. M. E. McCracken and J. Abraham, "Multiple-relaxation-time lattice-Boltzmann model for multiphase flow," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.71.036701 71, 036701 (2005).
32. S. Wolfram, "Cellular automaton fluids I: Basic theory," J. Stat. Phys. JSTPBS0022-471510.1007/BF01021083 45, 471 (1986).
33. U. Frisch, B. Hasslacher, and Y. Pomeau, "Lattice-gas automata for the Navier-Stokes equation," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.56.1505 56, 1505 (1986).
34. G. McNamara and G. Zanetti, "Use of the Boltzmann equation to simulate lattice-gas automata," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.61.2332 61, 2332 (1988).
35. S. Hou, Q. Zou, S. Chen, G. Doolen, and A. Cogley, "Simulation of cavity flow by the lattice Boltzmann method," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1995.1103 118, 329 (1995).
36. X. He and L. S. Luo, "Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.56.6811 56, 6811 (1997).
37. S. Mukherjee and J. Abraham, "Lattice-Boltzmann simulations of two-phase flow with high density ratio in axially symmetric geometry" Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.75.026701 75, 026701 (2007).
38. S. Mukherjee, "Numerical simulation of wall impinging drops," Ph.D. thesis, Purdue University, West Lafayette, IN, 2006.
39. K. N. Premnath and J. Abraham, "Lattice Boltzmann model for axisymmetric multiphase flows," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.71.056706 71, 056706 (2005).
40. K. N. Premnath and J. Abraham, "Lattice Boltzmann simulations of drop-drop interactions in two-phase flows," Int. J. Mod. Phys. C IJMPEO0129-183110.1142/S0129183105006930 16, 25 (2005).
41. M. E. McCracken, "Development and evaluation of lattice Boltzmann models for investigations of liquid breakup," Ph.D. thesis, Purdue University, West Lafayette, IN, 2004.
42. D. Morton, M. Rudman, and L. Jong-Leng, "An investigation of the flow regimes resulting from splashing drops," Phys. Fluids PHFLE61070-663110.1063/1.870332 12, 747 (2000).