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Oscillation-induced sand ripples in a circular geometry.

Germain Rousseaux¹, Joachim Kruithof, Patrice Jenffer

¹Laboratoire J.-A. Dieudonné, Université de Nice-Sophia Antipolis, UMR 6621 CNRS-UNSA, Parc Valrose, 06108 Nice Cedex 02, France. Germain.Rousseaux@unice.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 4, 2008

Summary

Researchers observed sand ripples forming in circular tanks under oscillating water flow. They identified two distinct thresholds: one for sand grain movement and another for ripple formation, influenced by shear stress gradients.

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Area of Science:

Geophysics and Fluid Dynamics
Sediment Transport and Morphodynamics

Background:

Sand ripple formation is a complex phenomenon driven by fluid flow over granular beds.
Understanding the initiation and evolution of these patterns is crucial for sediment transport studies.
Previous research often focused on linear geometries, leaving circular systems less explored.

Purpose of the Study:

To investigate sand ripple formation in a circular geometry under oscillatory flow conditions.
To characterize ripple patterns based on varying excitation parameters.
To identify the critical thresholds governing grain motion and ripple initiation.

Main Methods:

Experimental observation of sand ripple development in a circular tank.
Systematic variation of excitation parameters to study pattern evolution.
Analysis of shear stress gradients and their role in pattern formation.
Determination of threshold conditions for grain motion and ripple appearance.

Main Results:

Distinct thresholds were identified for initial grain motion and subsequent ripple formation.
The gradient of shear stress was found to be a key factor in separating these thresholds.
The time evolution of the corrugated front invading a flat bed was documented.
A phase diagram illustrating ripple instability was presented as a function of Froude and Reynolds numbers.

Conclusions:

The study provides unambiguous evidence for two distinct thresholds in sand ripple formation under oscillatory flow in a circular geometry.
Shear stress gradients play a critical role in the initiation and separation of grain motion and ripple development.
The findings contribute to a better understanding of granular flow instabilities and morphodynamics in confined systems.