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Updated: May 18, 2026

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Published on: March 5, 2014
Shock propagation in granular flow subjected to an external impact
Sudhir N Pathak1, Zahera Jabeen, Purusattam Ray
1Institute of Mathematical Sciences, Central Institutes of Technology Campus, Taramani, Chennai 600 113, India. sudhirnp@imsc.res.in
We found that shock waves in 2D granular materials expand as a power law, t{1/3}. This behavior shifts to 3D effects at longer times due to particle buildup.
Area of Science:
- Physics of granular materials
- Condensed matter physics
- Nonlinear dynamics
Background:
- Analysis of shock wave propagation in a flowing monolayer of glass beads.
- Quantitative study of a steel ball impact experiment.
Discussion:
- Radial momentum conservation explains the t{1/3} power-law shock radius increase in 2D.
- Event-driven simulations confirm the theoretical prediction for inelastic hard spheres.
Key Insights:
- Experimental data align with the t{1/3} scaling at intermediate times.
- A crossover to different scaling behavior is observed at long times.
- This crossover is attributed to the system becoming effectively 3D due to particle accumulation.
Outlook:
- A hard sphere model incorporating 3D effects successfully captures the observed crossover.
- Further investigation into granular shock dynamics and dimensional crossovers is warranted.
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