What is it about?

The primary motivation behind this study lies in unraveling the mathematical mechanism responsible for the uncommonly symmetrical shape of roll waves exhibited in granular suspensions' literature. Through a dynamical systems analysis and the associated phase space diagrams, which provide a comprehensive geometrical overview, we reveal the mathematical properties associated with the stable uniform flow and the emergence of the granular roll waves.

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Why is it important?

Leveraging a dynamical systems framework, we explore the critical factors influencing the shape and size of roll waves. Our analysis reveals that the nullclines, explicitly defined in the provided equations, play a decisive role in determining this characteristic shape.


This study aspires to contribute towards bridging the knowledge gap between our comprehensive understanding of Newtonian fluids and the complexities of granular flows. The findings presented here aim to pave the way for further advancements in this direction.

Giorgos Kanellopoulos
University of Patras

Read the Original

This page is a summary of: Granular roll waves on a μ (J) rheology model: A dynamical systems perspective, Physics of Fluids, February 2024, American Institute of Physics,
DOI: 10.1063/5.0194336.
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