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Inertial drag in granular media

Shivakumar Athani* and Pierre Rognon†

  • Particles and Grains Laboratory, School of Civil Engineering, The University of Sydney, Sydney NSW 2006, Australia

  • *shivakumar.athani@sydney.edu.au
  • †pierre.rognon@sydney.edu.au
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Phys. Rev. Fluids 4, 124302 – Published 3 December, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.124302

Abstract

Like in liquids, objects moving in granular materials experience a drag force. We investigate here whether and how an object's acceleration affects this drag force. The study is based on simulations of a canonical drag test, which involves vertically uplifting a plate through a granular packing with a prescribed acceleration pattern. Depending on the plate size, plate depth, and acceleration pattern, results provide evidence of a rate-independent regime and an inertial regime where the object acceleration strongly enhances the drag force. We introduce an elasto-inertial drag force model that captures the measured drag forces in these two regimes. The model is based on observed physical processes including a gradual, elasto-inertial mobilization of grains located above the plate. These results and analysis point out fundamental differences between mobility in granular materials upon steady and unsteady loadings.

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Phys. Rev. Fluids 4, 124302– Published 3 December, 2019
  • Received 7 June 2019
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