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Pattern formation on the surface of the granular medium in a horizontal rotating cylinder filled with fluid

Veronika Dyakova*

Denis Polezhaev†

  • Perm National Research Polytechnic University, Perm 614990, Russia and Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Perm 614990, Russia

  • Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Perm 614990, Russia

  • *dyakova@pspu.ru
  • †polezhaev@pspu.ru
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Phys. Rev. Fluids 7, 044302 – Published 18 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.044302

Abstract

The stability of the interface between a low-viscosity fluid and a granular medium in a horizontal rotating cylinder is experimentally studied. We consider a moderate rotation when heavy granules are able to form an annular layer near a cylindrical wall under the action of centrifugal force. The gravitational force acting on the particles of the granular material fluidizes the granular bed and induces the rotation of the particles at the interface with a velocity different from that of the rotating fluid. The effect of gravity can be characterized by the ratio of the gravitational force to the inertial centrifugal force Γ≡g(2πf)2a, and it increases with the decrease of the cylinder rotation rate. The observations revealed previously unobserved regular ripples at the interface in a narrow range of rotation rates. At a sufficiently low rotation rate, a large number of granules become suspended, and regular ripples disappear under the action of gravitational force. In the present study, the geometric characteristics and spatiotemporal dynamics of regular ripples are studied in a wide range of granular bed thickness, and a possible mechanism of the ripple formation is discussed.

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Phys. Rev. Fluids 7, 044302– Published 18 April, 2022
  • Received 7 December 2021
  • Accepted 4 April 2022
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