Modeling the Chaotic Behavior in Simple Shear Granular Flowsby Jan-Olov Aidanpää, Lulca Univ, Sweden,
Hayley H. Shen, Lulca Univ, Sweden,
Ram Gupta, Lulca Univ, Sweden,
Abstract: Simple shear granular flows have demonstrated a variety of puzzling phenomena. Both computer simulations and physical experiments have discovered particle grouping, layering and shear bands formation in dissipative granular flows. The constitutive relations also demonstrated a sharp transition when particle number density increases. To analyze the dynamics of such phenomena is beyond the power of linear techniques. A simple one-dimensional nonlinear model is presented. From recent developments in chaos theory, it is plausible that such simple models can preserve the essential characteristic of the real system. This simple model is utilized to quantify the transition from periodic to chaotic motions, which models the transition between the layering and uniformly sheared granular flows. Extension to include noise effect is made to more closely model the real system.
Subject Headings: Shear flow | Granular materials | Fluid flow | Flow simulation | Particles | Dynamic analysis | Linear analysis | Motion (dynamics)
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