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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jul;92(1):013016. doi: 10.1103/PhysRevE.92.013016. Epub 2015 Jul 24.

Flow patterns in a rotating horizontal cylinder partially filled with liquid.

Physical review. E, Statistical, nonlinear, and soft matter physics

Victor Kozlov, Denis Polezhaev

Affiliations

  1. Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Perm, Russia.

PMID: 26274278 DOI: 10.1103/PhysRevE.92.013016

Abstract

The dynamics of an annular layer of low-viscosity liquid inside a rapidly rotating horizontal cylinder is experimentally studied. Under gravity, the liquid performs forced azimuthal oscillations in the cavity frame. We examined the stability of the two-dimensional azimuthal flow and discovered two novel types of axisymmetric liquid flows. First, a large-scale axially symmetric flow is excited near the end walls. The inertial modes generated in the corner regions are proven to be responsible for such a flow. Second, a small-scale flow in the form of the Taylor-Gortler vortices appears due to the centrifugal instability of the oscillatory liquid flow. The spatial period of the vortices is in qualitative agreement with the data obtained in the experimental and numerical studies of cellular flow in librating containers.

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