Chaotic mixing of granular material in slowly rotating containers as a discrete mapping

T. Elperin; A. Vikhansky

doi:10.1063/1.166464

Chaotic mixing of granular material in slowly rotating containers as a discrete mapping

T. Elperin, A. Vikhansky

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field. The location of the fixed points of the mapping and the separatrices of the hyperbolic points are determined in a closed analytical form.

Original language	English
Pages (from-to)	910-915
Number of pages	6
Journal	Chaos
Volume	9
Issue number	4
DOIs	https://doi.org/10.1063/1.166464
State	Published - 1 Jan 1999

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "Chaotic mixing of granular material in slowly rotating containers as a discrete mapping",

abstract = "Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field. The location of the fixed points of the mapping and the separatrices of the hyperbolic points are determined in a closed analytical form.",

author = "T. Elperin and A. Vikhansky",

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N2 - Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field. The location of the fixed points of the mapping and the separatrices of the hyperbolic points are determined in a closed analytical form.

AB - Chaotic mixing of granular material in a two-dimensional slowly rotating noncircular container in the absence of granular diffusivity is studied analytically and numerically as a discrete mapping. The noncircularity of a drum produces a time periodic disturbance and chaotization of the flow field. The location of the fixed points of the mapping and the separatrices of the hyperbolic points are determined in a closed analytical form.

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Chaotic mixing of granular material in slowly rotating containers as a discrete mapping

Abstract

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