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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

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  • Journal of Fluid Mechanics, Volume 675
  • May 2011, pp. 552-573

Length and time scales of a liquid drop impact and penetration into a granular layer

  • DOI:
  • Published online: 11 May 2011

Liquid drop impact and penetration into a granular layer are investigated with diverse liquids and granular materials. We use various sizes of SiC abrasives and glass beads as a target granular material. We also employ ethanol and glycerol aqueous solutions as well as distilled water to make a liquid drop. The liquid drop impacts the granular layer with a low speed (~ms−1). The drop deformation and penetration are captured by a high-speed camera. From the video data, characteristic time scales are measured. Using a laser profilometry system, resultant crater morphology and its characteristic length scales are measured. Static strength of the granular layer is also measured by the slow pillar penetration experiment to quantify the cohesive force effect. We find that the time scales are almost independent of impact speed, but they depend on liquid drop viscosity. In particular, the penetration time is proportional to the square root of the liquid drop viscosity. In contrast, the crater radius is independent of the liquid drop viscosity. The crater radius is scaled by the same form as the previous paper, Katsuragi (Phys. Rev. Lett., vol. 104, 2010, art. 218001).

Corresponding author
Current address: Graduate School of Environmental Studies, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8601, Japan. Email address for correspondence:
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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

J. C. Amato & R. E. Williams 1998 Crater formation in the laboratory: An introductory experiment in error analysis. Am. J. Phys. 66, 141143.

M. A. Ambroso , R. D. Kamien & D. J. Durian 2005 aDynamics of shallow impact cratering. Phys. Rev. E 72 (4), 041305.

M. A. Ambroso , C. R. Santore , A. R. Abate & D. J. Durian 2005 bPenetration depth for shallow impact cratering. Phys. Rev. E 71 (5), 051305.

I. S. Aranson & L. S. Tsimring 2006 Patterns and collective behavior in granular media: theoretical concepts. Rev. Mod. Phys. 78, 641692.

R. Bhola & S. Chandra 1999 Parameters controlling solidification of molten wax droplets falling on a solid surface. J. Mater. Sci. 34, 48834894.

J. F. Boudet , Y. Amarouchene & H. Kellay 2006 Dynamics of impact cratering in shallow sand layers. Phys. Rev. Lett. 96 (15), 158001.

G. Caballero , R. Bergmann , D. van der Meer , A. Prosperetti & D. Lohse 2007 Role of air in granular jet formation. Phys. Rev. Lett. 99 (1), 018001.

S. B. Dalziel & M. D. Seaton 2003 Resuspension by droplets. In Sedimentation and Sediment Transport (ed. A. Gyr & W. Kinzelbach ), pp. 101104. Kluwer.

S. Deboeuf , P. Gondret & M. Rabaud 2009 Dynamics of grain ejection by sphere impact on a granular bed. Phys. Rev. E 79 (4), 041306.

R. D. Deegan , O. Bakajin , T. F. Dupont , G. Huber , S. R. Nagel & T. A. Witten 1997 Capillary flow as the cause of ring stains from dried liquid drop. Nature 389, 827829.

R. D. Deegan , O. Bakajin , T. F. Dupont , G. Huber , S. R. Nagel & T. A. Witten 2000 Contact line deposits in an evaporating drop. Phys. Rev. E 62 (1), 756765.

J. Duran 2000 Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials. Springer.

P. G. de Gennes , F. Brochard-Wyart & D. Quéré 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer.

D. I. Goldman & P. Umbanhowar 2008 Scaling and dynamics of sphere and disk impact into granular media. Phys. Rev. E 77, 021308.

K. P. Hapgood , J. D. Litster , S. R. Biggs & T. Howes 2002 Drop penetration into porous powder beds. J. Colloid Interface Sci. 253 (2), 353366.

M. Hou , Z. Peng , R. Liu , K. Lu & C. K. Chan 2005 Dynamics of a projectile penetrating in granular systems. Phys. Rev. E 72 (6), 062301.

H. M. Jaeger , S. R. Nagel & R. P. Behringer 1996 Granular solids, liquids, and gases. Rev. Mod. Phys. 68, 12591273.

S. von Kann , S. Joubaud , G. A. Caballero-Robledo , D. Lohse & der Meer, D. van 2010 Effect of finite container size on granular jet formation. Phys. Rev. E 81 (4), 041306.

H. Katsuragi 2010 Morphology scaling of drop impact onto a granular layer. Phys. Rev. Lett. 104 (21), 218001.

H. Katsuragi & D. J. Durian 2007 Unified force law for granular impact cratering. Nature Phys. 3, 420423.

D. Lohse , R. Bergmann , R. Mikkelsen , C. Zeilstra , D. van der Meer , M. Versluis , K. van der Weele , M. van der Hoef & H. Kuipers 2004 Impact on soft sand: void collapse and jet formation. Phys. Rev. Lett. 93, 198003.

D. Lohse , R. Rauhé , R. Bergmann & D. van der Meer 2001 Creating a dry variety of quicksand. Nature 432, 689690.

H. Marmanis & S. T. Thoroddsen 1996 Scaling of the fingering pattern of an impacting drop. Phys. Fluids 8, 13441346.

T. Mizoue , Y. Aoki , M. Tokita , H. Honjo , H. J. Barraza & H. Katsuragi 2010 Control of polymer gel surface pattern formation and its three dimensional measurement method. J. Polym. Engng 30, 523534.

E. L. Nelson , H. Katsuragi , P. Mayor & D. J. Durian 2008 Projectile interactions in granular impact cratering. Phys. Rev. Lett. 101, 068001.

K. Okumura , F. Chevy , D. Richard , D. Quéré & C. Clanet 2003 Water spring: a model for bouncing drops. Europhys. Lett. 62, 237243.

M. Pica Ciamarra , A. H. Lara , A. T. Lee , D. I. Goldman , I. Vishik & H. L. Swinney 2004 Dynamics of drag and force distributions for projectile impact in a granular medium. Phys. Rev. Lett. 92 (19), 194301.

K. Range & F. Feuillebois 1998 Influence of surface roughness on liquid drop impact. J. Colloid Interface Sci. 203, 1630.

M. Reyssat , J. M. Yeomans & D. Quéré 2008 Impalement of fakir drops. Europhys. Lett. 81, 26006.

D. Richard & D. Quéré 2000 Bouncing water drops. Europhys. Lett. 50, 769775.

R. Rioboo , M. Marengo & C. Tropea 2002 Time evolution of liquid drop impact onto solid, dry surfaces. Exp. Fluids 33, 112124.

P. S. Roller 1930 The bulking properties of microscopic particles. Ind. Engng Chem. 22, 12061208.

J. R. Royer , E. I. Corwin , P. Eng J. & H. M. Jaeger 2007 Gas-mediated impact dynamics in fine-grained granular materials. Phys. Rev. Lett. 99 (3), 038003.

J. R. Royer , E. I. Corwin , A. Flior , M.-L. Cordero , M. L. Rivers , P. J. Eng & H. M. Jaeger 2005 Formation of granular jets observed by high-speed x-ray radiography. Nature Phys. 1, 164167.

M. B. Stone , R. Barry , D. P. Bernstein , M. D. Pelc , Y. K. Tsui & P. Schiffer 2004 aLocal jamming via penetration of a granular medium. Phys. Rev. E 70, 041301.

M. B. Stone , D. P. Bernstein , R. Barry , M. D. Pelc , Y. K. Tsui & P. Schiffer 2004 bGetting to the bottom of a granular medium. Nature 427, 503504.

M. Suzuki , H. Sato , M. Hasegawa & M. Hirota 2001 Effect of size distribution on tapping properties of fine powder. Powder Technol. 118, 5357.

S. T. Thoroddsen & J. Sakakibara 1998 Evolution of the fingering pattern of an impact drop. Phys. Fluids 10, 13591374.

S. T. Thoroddsen & A. Q. Shen 2001 Granular jets. Phys. Fluids 13, 46.

J. S. Uehara , M. A. Ambroso , R. P. Ojha & D. J. Durian 2003 Low-speed impact craters in loose granular media. Phys. Rev. Lett. 90, 194301.

S. J. de Vet & J. R. de Bruyn 2007 Shape of impact craters in granular media. Phys. Rev. E 76, 041306.

K. Wada , H. Senshu & T. Matsui 2006 Numerical simulation of impact cratering on granular material. Icarus 180 (2), 528545.

A. M. Walsh , K. E. Holloway , P. Habdas & J. R. de Bruyn 2003 Morphology and scaling of impact craters in granular media. Phys. Rev. Lett. 91, 104301.

E. W. Washburn 1921 The dynamics of capillary flow. Phys. Rev. 17 (3), 273283.

L. Xu 2010 Instability development of a viscous liquid drop impacting a smooth substrate. Phys. Rev. E 82 (2), 025303.

A. L. Yarin 2006 Drop impact dynamics: splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech. 38, 159192.

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