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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Unstable blast shocks in dilute granular flows.

J F Boudet¹, H Kellay

¹U. Bordeaux 1, Laboratoire Ondes et Matière d'Aquitaine (UMR CNRS 5798), 351 cours de la Libération, 33405 Talence, France.

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

|June 18, 2013

Summary

Blast shocks in dilute granular flows are unstable, with transverse variations in grain density causing instability. This instability has a specific wavelength and grows exponentially with distance, differing from gas dynamics.

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Area of Science:

Physics
Fluid Dynamics
Materials Science

Background:

Shocks and blasts occur in both dense and dilute granular flows.
Understanding shock propagation in granular media is crucial for various applications.

Purpose of the Study:

To investigate the stability of blast shock fronts in dilute granular flows.
To characterize the nature and behavior of instabilities in such systems.

Main Methods:

Examination of blast shock propagation in a dilute granular flow.
Development of a simple model for shock front dynamics including dissipation.

Main Results:

Blast shock fronts in dilute granular flows are unstable to transverse variations in grain density.
The instability exhibits a well-defined wavelength dependent on medium density.
Instability amplitude grows exponentially with propagation distance.

Conclusions:

The observed instability in granular flows shares similarities with gas dynamics but possesses distinct features.
A simple model incorporating dissipation effectively explains the observed instability characteristics.