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Spreading dynamics of drop impacts

  • Guillaume Lagubeau (a1), Marco A. Fontelos (a2), Christophe Josserand (a3), Agnès Maurel (a4), Vincent Pagneux (a1) and Philippe Petitjeans (a5)...


We present an experimental study of drop impact on a solid surface in the spreading regime with no splashing. Using the space–time-resolved Fourier transform profilometry technique, we can follow the evolution of the drop shape during the impact. We show that a self-similar dynamical regime drives the drop spreading until the growth of a viscous boundary layer from the substrate selects a residual minimal film thickness. Finally, we discuss the interplay between capillary and viscous effects in the spreading dynamics, which suggests a pertinent impact parameter.


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Antkowiak, A., Audoly, B., Josserand, C., Neukirch, S. & Rivetti, M. 2011 Instant fabrication and selection of folded structures using drop impact. Proc. Natl Acad. Sci. USA 108, 1040010404.
Bartolo, D., Josserand, C. & Bonn, D. 2005 Retraction dynamics of aqueous drops upon impact on nonwetting surfaces. J. Fluid Mech. 545, 329338.
Bartolo, D., Josserand, C. & Bonn, D. 2006 Singular jets and bubbles in drop impact. Phys. Rev. Lett. 96, 124501.
Biance, A., Chevy, F., Clanet, C., Lagubeau, G. & Quéré, D. 2006 On the elasticity of an inertial liquid shock. J. Fluid Mech. 554 (1), 4766.
Chekroun, M., Maurel, A., Lagubeau, G., Pagneux, V., Cobelli, P., Przadka, A. & Petitjeans, P. 2012 Space–time resolved experiments for water waves. Acta Polonica 120 (61), 142148.
Clanet, C., Béguin, C., Richard, D. & Quéré, D. 2004 Maximal deformation of an impacting drop. J. Fluid Mech. 517, 199208.
Cobelli, P., Maurel, A., Pagneux, V. & Petitjeans, P. 2009 Global measurement of water waves by Fourier transform profilometry. Exp. Fluids 46 (6), 10371047.
Cobelli, P., Pagneux, V., Maurel, A. & Petitjeans, P. 2011a Experimental study on water-wave trapped modes. J. Fluid Mech. 666, 445476.
Cobelli, P., Przadka, A., Petitjeans, P., Lagubeau, G., Pagneux, V. & Maurel, A. 2011b Experimental investigation of different regimes for water wave turbulence. Phys. Rev. Lett. 107, 214503.
Cooker, M. & Peregrine, D. 1995 Pressure-impulse theory for liquid impact problems. J. Fluid Mech. 297, 193214.
Deegan, R. D., Brunet, P. & Eggers, J. 2008 Complexities of splashing. Nonlinearity 21 (1), C1C11.
Eggers, J., Fontelos, M., Josserand, C. & Zaleski, S. 2010 Drop dynamics after impact on a solid wall: theory and simulations. Phys. Fluids 22, 062101.
Eggers, J. & Villermaux, E. 2008 Physics of liquid jets. Rep. Prog. Phys. 71, 036601.
Fedorchenko, A., Wang, A.-B. & Wang, Y.-H. 2005 Effect of capillary and viscous forces on spreading of a liquid drop impinging on a solid surface. Phys. Fluids 17, 093104.
Lagubeau, G., Fontelos, M., Josserand, C., Maurel, A., Pagneux, V. & Petitjeans, P. 2010 Flower patterns in drop impact on thin liquid films. Phys. Rev. Lett. 105, 184503.
Maurel, A., Cobelli, P., Pagneux, V. & Petitjeans, P. 2009 Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry. Appl. Opt. 48, 380392.
Mundo, C., Sommerfeld, M. & Tropea, C. 1995 Droplet–wall collisions: experimental studies of the deformation and breakup process. Intl J. Multiphase Flow 21, 151173.
Peregrine, D. 1981 The fascination of fluid mechanics. J. Fluid Mech. 106, 5980.
Planchon, O. & Mouche, E. 2010 A physical model for the action of raindrop erosion on soil microtopography. Soil Sci. Soc. Am. J. 74, 10921103.
Przadka, A., Cabane, B., Pagneux, V., Maurel, A. & Petitjeans, P. 2012 Fourier transform profilometry for water waves: how to achieve clean water attenuation with diffusive reflection at the water surface? Exp. Fluids 52 (2), 519527.
Rein, M. 1993 Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dyn. Res. 12, 6193.
Rein, M. 1996 The transitional regime between coalescing and splashing drops. J. Fluid Mech. 306, 145165.
Renardy, Y., Popinet, S., Duchemin, L., Renardy, M., Zaleski, S., Josserand, C., Drumright-Clarke, M., Richard, D., Clanet, C. & Quéré, D. 2003 Pyramidal and toroidal water drops after impact on a solid surface. J. Fluid Mech. 484, 6983.
Rioboo, R., Marengo, M. & Tropea, C. 2001 Outcomes from a drop impact on solid surfaces. Atomiz. Sprays 11, 155165.
Roisman, I. 2009 Inertia dominated drop collisions. Part 2. An analytical solution of the Navier–Stokes equations for a spreading viscous film. Phys. Fluids 21, 052104.
Roisman, I., Rioboo, R. & Tropea, C. 2002 Normal impact of a liquid drop on a dry surface: model for spreading and receding. Proc. R. Soc. Lond. A 458 (2022), 14111430.
Schroll, R., Josserand, C., Zaleski, S. & Zhang, W. 2010 Impact of a viscous liquid drop. Phys. Rev. Lett. 104, 034504.
Takeda, M. & Mutoh, K. 1983 Fourier transform profilometry for the automatic measurement of 3-D object shapes. Appl. Opt. 22, 39773982.
Worthington, A. 1908 A Study of Splashes. Macmillan (reprinted in 1963).
Xu, L., Zhang, W. & Nagel, S. 2005 Drop splashing on a dry smooth surface. Phys. Rev. Lett. 94, 184505.
Yarin, A. & Weiss, D. 1995 Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity. J. Fluid Mech. 283, 141173.
Zable, J. L. 1977 Splatter during ink jet printing. IBM J. Res. Dev. 21 (4), 315320.
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