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Updated: Jun 8, 2026
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Spinning propagation of diffusionally unstable planar fronts
Olga Nekhamkina1, Moshe Sheintuch
1Department of Chemical Engineering, Technion-Israel Institute of Technology, Haifa, Israel. aermwon@tx.technion.ac.il
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
Planar fronts in cylindrical reactors unexpectedly develop rotating patterns, challenging predictions of stationary behavior. This study explores these novel dynamics in reaction-diffusion systems.
Area of Science:
- Chemical Engineering
- Fluid Dynamics
- Mathematical Modeling
Background:
- Reaction-diffusion systems are fundamental to understanding pattern formation in chemical and biological processes.
- Previous studies often focused on planar systems, with less attention to the effects of cylindrical geometry and advection.
- The stability of propagating fronts is crucial for predicting system behavior.
Purpose of the Study:
- To numerically investigate the stability of planar fronts in cylindrical shell reactors.
- To identify the emergence of rotating patterns in reaction-diffusion and reaction-diffusion-advection systems.
- To analyze the influence of reactor perimeter (S) as a bifurcation parameter.
Main Methods:
- Numerical simulations were employed to study front propagation.
- The reactor perimeter (S) was systematically varied as a bifurcation parameter.
- Axial and azimuthal dynamics of the fronts were analyzed.
Main Results:
- Rigid rotating patterns were observed superimposed on axially propagating fronts.
- These rotating patterns emerged within specific ranges of the reactor perimeter (S), termed 'S gaps'.
- The observed rotating motion contrasted with linear analysis predictions of stationary patterns.
Conclusions:
- Cylindrical geometry and periodic azimuthal boundary conditions can induce complex rotating dynamics.
- The findings reveal a surprising instability leading to rotation, not predicted by planar analysis.
- This research highlights the importance of considering geometric constraints in reaction-diffusion systems.
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