Early post-impact time dynamics of viscous drops onto a solid dry surface

Physics of Fluids

Volumn 21, Issue 3, 2009, Pages

  Mongruel, Anne ^a   Daru, V ^b,c   Feuillebois, F ^a   Tabakova, S ^d,e  

^a ESPCI   (France)

^b DYNFLUID LABORATORY   (France)

^c CNRS   (France)

^d INSTITUTE OF MECHANICS   (Bulgaria)

^e TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

DROPS; LIQUIDS; PHASE INTERFACES; TWO PHASE FLOW;

ARTIFICIAL COMPRESSIBILITY METHOD; CHARACTERISTIC LENGTH; GAS-LIQUID INTERFACE; IMPACT VELOCITIES; NUMERICAL RESULTS; SCALING ANALYSIS; SPREADING DYNAMICS; SURFACE TENSION EFFECTS;

NAVIER STOKES EQUATIONS;

EID: 64249100327     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3079095     Document Type: Article

References (40)

1. F. Feuillebois, S. Radev, A. Stoilova and S. Tabakova, "Modeling the impact and spreading of a drop on a dry surface," J. Theoretical and Appl. Mech., B.A.S. 35, 39 (2005).
2. A. L. Yarin, "Drop impact dynamics: Splashing, spreading, receding, bouncing," Annu. Rev. Fluid Mech. 38, 159 (2006).
3. S. Chandra and C. T. Avedisian, "On the collision of a droplet with a solid surface," Proc. R. Soc. London, Ser. A 432, 13 (1991).
4. K. Range and F. Feuillebois, "Influence of surface roughness on liquid drop impact," J. Colloid Interface Sci. 203, 16 (1998).
5. R. Rioboo, M. Marengo, and C. Tropea, "Time evolution of liquid drop impact onto solid, dry surfaces," Exp. Fluids 33, 112 (2002).
6. S. Sikalo and E. N. Ganic, "Phenomena of droplet-surface interactions," Exp. Therm. Fluid Sci. 31, 97 (2006).
7. S. Tabakova, F. Feuillebois, S. Radev, and A. Mongruel, "Initial stages of viscous drop impact on solid surface," AIP Conf. Proc. 946, 135 (2007).
8. C. Clanet, C. Béguin, D. Richard, and D. Quéré, "Maximal deformation of an impacting drop," J. Fluid Mech. 517, 199 (2004).
9. F. H. Harlow and J. P. Shannon, "The splash of a liquid drop," J. Appl. Phys. 38, 3855 (1967).
10. H. Fujimoto, Y. Shiotani, A. Y. Tong, T. Hama, and H. Takuda, "Threedimensional numerical analysis of the deformation of droplets impinging onto a solid substrate," Int. J. Multiphase Flow 33, 317 (2007).
11. C. Josserand, L. Lemoyne, R. Troeger, and S. Zaleski, "Droplet impact on a dry surface: Triggering the splash with a small obstacle," J. Fluid Mech. 524, 47 (2005).
12. M. B. Lesser, "Analytical solutions of liquid-drop impact problems," Proc. R. Soc. London, Ser. A 377, 289 (1981).
13. D. A. Weiss and A. L. Yarin, "Single drop impact onto liquid films: Neck distorsion, jetting, tiny bubble entrainment, and crown formation," J. Fluid Mech. 385, 229 (1999).
14. K. F. Loehr, "Etalement et éclatement de gouttes," Ph.D. thesis, Université Pierre et Marie Curie, Paris, 1992.
15. H.-Y. Kim, T. Karahalios, T. Qiu, and J.-H. Chun, "Microsensor for impact of molten metal microdrops," Sens. Actuators, A 116, 417 (2004).
16. A. I. Fedorchenko, A. B. Wang, and Y. H. Wang, "Effect of capillary and viscous forces on spreading of a liquid drop impinging on a solid surface," Phys. Fluids 17, 093104 (2005).
17. H.-Y. Kim, Z. C. Yeng, and J. H. Chun, "Instability of a liquid jet emerging from a droplet upon collision with a solid surface," Phys. Fluids 12, 531 (2000).
18. D. C. D. Roux and J. J. Cooper-White, "Dynamics of water spreading on a glass surface," J. Colloid Interface Sci. 277, 424 (2004).
19. S. T. Thoroddsen, "The ejecta sheet generated by the impact of a drop," J. Fluid Mech. 451, 373 (2002).
20. C. Josserand and S. Zaleski, "Droplet splashing on a thin liquid film," Phys. Fluids 15, 1650 (2003).
21. T. D. Blake, M. Bracke, and Y. D. Shikhmurzaev, "Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle," Phys. Fluids 11, 1995 (1999).
22. S. Sikalo, C. Tropea, and E. N. Ganic, "Dynamic wetting angle of a spreading droplet," Exp. Therm. Fluid Sci. 29, 795 (2005).
23. S. Sikalo, H.-D. Wilhelm, I. V. Roisman, S. Jakirlich, and C. Tropea, "Dynamic contact angle of spreading droplets: Experiments and simulations," Phys. Fluids 17, 062103 (2005).
24. D. B. van Dam and C. Le Clerc, "Experimental study of the impact of an ink-jet printed droplet on a solid surface," Phys. Fluids 16, 3403 (2004).
25. S. T. Thoroddsen, T. G. Etoh, K. Takehara, N. Ootsuka, and Y. Hatsuki, "The air bubble entrapped under a drop impacting on a solid surface," J. Fluid Mech. 545, 203 (2005).
26. C. Mundo, M. Sommerfeld, and C. Tropea, "Droplet-wall collisions: Experimental studies of the deformation and break-up process," Int. J. Multiphase Flow 21, 151 (1995).
27. J. Sethian, Level Set Methods and Fast Marching Methods (Cambridge University Press, Cambridge, 1999).
28. T. Bonometti and J. Magnaudet, "An interface capturing method for incompressible two-phase flows: Validation and application to bubble dynamics," Int. J. Multiphase Flow 33, 139 (2007).
29. P. D. M. Spelt, "A level set approach for simulations of flows with multiple moving contact lines with hysteresis," J. Comput. Phys. 207, 389 (2005).
30. D. Jacqmin, "Calculation of two-phase flow Navier-Stokes flows using phase-field modelling," J. Comput. Phys. 155, 96 (1999).
31. D. Jacqmin, "Contact line dynamics of a diffuse fluid interface," J. Fluid Mech. 402, 57 (2000).
32. H. Ding and P. D. M. Spelt, "Onset of motion of a three-dimensional droplet on a wall in shear flows at moderate Reynolds numbers," J. Fluid Mech. 599, 341 (2008).
33. A. J. Chorin, "A numerical method for solving incompressible viscous flow problems," J. Comput. Phys. 2, 12 (1967).
34. R. Peyret, "Unsteady evolution of a horizontal jet in a stratified fluid," J. Fluid Mech. 78, 49 (1976).
35. R. Peyret and T. D. Taylor, Computational Methods for Fluid Flow (Springer, New York, 1983).
36. D. Drikakis, O. P. Iliev, and D. P. Vassileva, "A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations," J. Comput. Phys. 146, 301 (1998).
37. G. L. Browning, W. R. Holland, H. O. Kreiss, and S. J. Worley, "An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows," Dyn. Atmos. Oceans 14, 303 (1990).
38. P. A. Madsen and H. A. Schäffer, "A discussion of artificial compressibility," Coastal Eng. 53, 93 (2006).
39. R. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser, Basel, 1992).
40. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer, Berlin, 1997).