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Title:Traveling waves standing waves and cellular patterns in steadily forced granular medium
Author(s):Fried, Eliot; Shen, Amy Q.; Thoroddsen, Sigurdur T.
Subject(s):Cellular Pattern
Granular Medium
Abstract:Wave-patterns and cellular structures often appear in periodically excited granular media . We show that, even under steady forcing, traveling and standing waves can form in a thin layer of sand inside a rotating cylinder. The cylinder is rotated about its horizontal axis of symmetry at constant angular velocity. A competition between gravitation, intergranular frictional force , and grain inertia induces a spanwise instability characterized by serrated frontal shapes remarkably similar to those observed in Newtonian fluids. Within a certain parameter range, an accompanying spatial pattern forms on the rising side of the cylinder and travels along the cylinder span. The associated phase velocity is relatively constant, whereas the relevant wavelength increases linearly with angular rotation speed. Standing waves appear at a critical rotation rate. Further, in some cases, a propagating cellular pattern forms on the surface of the medium.
Issue Date:1997-04
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 852
Genre:Technical Report
Rights Information:Copyright 1997 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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