The splash of a solid sphere impacting on a liquid surface: Numerical simulation of the influence of wetting

Physics of Fluids

Volumn 21, Issue 2, 2009, Pages

  Do Quang, Minh ^a   Amberg, Gustav ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; LIQUIDS; NAVIER STOKES EQUATIONS; NUMERICAL MODELS; SPHERES; WETTING;

AIR WATER INTERFACES; CAHN-HILLIARD EQUATION; DYNAMIC WETTING; MACROSCOPIC BEHAVIORS; MICROSCOPIC PROPERTIES; NUMERICAL RESULTS; QUANTITATIVE DESCRIPTION; WETTING PROPERTY;

PHASE INTERFACES;

EID: 61849178629     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3073968     Document Type: Article

References (26)

1. A. M. Worthington, A Study of Splashes (Longmans, London, 1908).
2. D. Gilbarg and R. A. Anderson, "Influence of atmospheric pressure on the phenomena accompanying the entry of spheres into water," J. Appl. Phys. JAPIAU0021-897910.1063/1.1698377 19, 127 (1948).
3. E. G. Richardson, "The impact of a solid on a liquid surface," Proc. Phys. Soc. London PPSOAU0370-132810.1088/0959-5309/61/4/308 61, 352 (1948).
4. A. May, "Effect of surface condition of a sphere on its water-entry cavity," J. Appl. Phys. JAPIAU0021-897910.1063/1.1699831 22, 1219 (1951).
5. J. W. Glasheen and T. A. McMahon, "Vertical water entry of disks at low Froude numbers," Phys. Fluids PHFLE61070-663110.1063/1.869010 8, 2078 (1996).
6. E. G. Richardson, "The sounds of impact of a solid on a liquid surface," Proc. Phys. Soc. London, Sect. BPPSBAP0370-130110.1088/ 0370-1301/68/8/308 68, 541 (1955).
7. C. Duez, C. Ybert, C. Clanet, and L. Bocquet, "Making a splash with water repellency," Nat. Phys. ZZZZZZ1745-2473 3, 180 (2007).
8. T. von Kàrmàn, "The impact on seaplane floats during landing," NACA Technical Report No. 321, 1929.
9. H. Wagner, "Phenomena associated with impacts and sliding on liquid surfaces," Z. Angew. Math. Mech. ZAMMAX0044-226710.1002/ zamm.19320120402 12, 193 (1932).
10. M. Greenhow, "Water-entry and -exit of a horizontal circular cylinder," Appl. Ocean. Res. AOCRDS0141-118710.1016/ S0141-1187(88)80003-8 10, 191 (1988).
11. M. Greenhow and S. Moyo, "Water entry and exit of horizontal circular cylinders," Philos. Trans. R. Soc. London PTRMAD0962-842810.1098/rsta.1997.0024BASSEP 355, 551 (1997).
12. P. Lin, "A fixed-grid model for simulation of a moving body in free surface flows," Comput. Fluids CPFLBI0045-793010.1016/ j.compfluid.2006.03.004 36, 549 (2007).
13. W. Villanueva, K. Grönhagen, G. Amberg, and J. Ågren, "Multicomponent and multiphase simulations of liquid phase sintering," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.77.056313 77, 056313 (2008).
14. W. Villanueva and G. Amberg, "Some generic capillary-driven flows," Int. J. Multiphase FlowI JMFBP0301-932210.1016/ j.ijmultiphaseflow.2006.05.003 32, 1072 (2006).
15. D. M. Anderson, G. B. McFadden, and A. A. Wheeler, "Diffuse-interface methods in fluid mechanics," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.30.1.139 30, 139 (1998).
16. M. Do-Quang, M. Vergassola, and E. Aurell, "An inventory of lattice Boltzmann models of multiphase flows," Technical Report No. 00:03, Royal Institute of Technology, 2000.
17. G. Amberg, R. Tönhardt, and C. Winkler, "Finite element simulations using symbolic computing," Math. Comput. Simul. MCSIDR0378-475410.1016/S0378-4754(99)00054-3 49, 257 (1999).
18. T. A. Davis, "Algorithm 832: Umfpack, an unsymmetric-pattern multifrontal method," ACM Trans. Math. Softw.ACMSCU0098-350010.1145/ 992200.992206 30, 196 (2004).
19. M. Do-Quang, W. Villanueva, I. Singer-Loginova, and G. Amberg, "Parallel adaptive computation of some time-dependent materials-related microstructural problems," Bull. Pol. Ac.: Tech. BASSEP0239-7528 55, 229 (2007).
20. J.-L. Guermond and L. Quartapelle, "A projection fem for variable density incompressible flows," J. Comput. Phys.JCTPAH0021-999110.1006/jcph.2000.6609 165, 167 (2000).
21. J. Fuentes and R. L. Cerro, "Flow patterns and interfacial velocities near a moving contact line," Exp. Fluids EXFLDU0723-486410.1007/s00348-005-0941-4 38, 503 (2005).
22. T. Grumstrup, J. B. Keller, and A. Belmonte, "Cavity ripples observed during the impact of solid objects into liquids," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.99.114502 99, 114502 (2007).
23. L. Xu, W. W. Zhang, and S. R. Nagel, "Drop splashing on a dry smooth surface," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.94.184505 94, 184505 (2005).
24. C. Huh and L. E. Scriven, "Hydrodynamic model of the steady movement of a solid/liquid/fluid contact line," J. Colloid Interface Sci. JCISA50021-979710.1016/0021-9797(71)90188-3 35, 85 (1971).
25. E. B. Dussan V. and S. H. Davis, "On the motion of a fluid-fluid interface along a solid surface," J. Fluid Mech.JFLSA70022-112010.1017/S0022112074001261 65, 71 (1974).
26. J. Eggers, "Hydrodynamic theory of forced dewetting," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.93.094502 93, 094502 (2004).