Impact of spherical projectiles into a viscoplastic fluid

Hervé Tabuteau, Darek Sikorski, Simon J. de Vet, and John R. de Bruyn
Phys. Rev. E 84, 031403 – Published 16 September 2011

Abstract

We study the behavior of a yield-stress fluid following the impact of a vertically falling sphere. Since the impact produces shear stresses larger than the yield stress, the material in the vicinity of the impact becomes fluidized. The sphere entrains air when it enters the fluid, and the resulting cavity pinches off below the surface. The upper part of this cavity then rebounds upward. For sufficiently fast impacts, a vertical jet is produced by the cavity collapse. While many aspects of this process are similar to that in Newtonian fluids or granular materials, the rheological properties of our target material change the scaling of the cavity pinch-off depth and have a dramatic effect on the height of the jets. The material returns to a solid-like behavior once the stresses due to the impact have relaxed to below the yield stress, leaving a crater in the surface of the material. We find that the diameter of this crater depends nonmonotonically on the impact speed. The crater shape also changes with speed, reflecting the dynamics of the impact process.

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  • Received 6 January 2011

DOI:https://doi.org/10.1103/PhysRevE.84.031403

©2011 American Physical Society

Authors & Affiliations

Hervé Tabuteau1,2, Darek Sikorski1,3, Simon J. de Vet1,4, and John R. de Bruyn1,*

  • 1Department of Physics and Astronomy, University of Western Ontario, London, Ontario, Canada N6A 3K7
  • 2Université Rennes 1, IPR, CNRS, UMR 6251, Campus Beaulieu, F-35042 Rennes, France
  • 3Department of Biomedical Engineering, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
  • 4Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5

  • *debruyn@uwo.ca

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Vol. 84, Iss. 3 — September 2011

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