Penetration of a spinning sphere impacting a granular medium

D. D. Carvalho, Y. Bertho, E. M. Franklin, and A. Seguin
Phys. Rev. E 109, 054902 – Published 13 May 2024

Abstract

We investigate experimentally the influence of rotation on the penetration depth of a spherical projectile impacting a granular medium. We show that a rotational motion significantly increases the penetration depth achieved. Moreover, we model our experimental results by modifying the frictional term of the equation describing the penetration dynamics of an object in a granular medium. In particular, we find that the frictional drag decreases linearly with the velocity ratio between rotational (spin motion) and translational (falling motion) velocities. The good agreement between our model and our experimental measurements offers perspectives for estimating the depth that spinning projectiles reach after impacting onto a granular ground, such as happens with seeds dropped from aircraft or with landing probes.

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  • Received 15 January 2024
  • Accepted 19 April 2024

DOI:https://doi.org/10.1103/PhysRevE.109.054902

©2024 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

D. D. Carvalho1,2, Y. Bertho1, E. M. Franklin2, and A. Seguin1

  • 1Université Paris-Saclay, CNRS, Laboratoire FAST, 91405 Orsay, France
  • 2Faculdade de Engenharia Mecânica, Universidade Estadual de Campinas (UNICAMP), Rua Mendeleyev, 200, CEP13083-860, Campinas-SP, Brazil

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Vol. 109, Iss. 5 — May 2024

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