Related Experiment Videos
Flow-distributed oscillation, flow-velocity modulation, and resonance.
Patrick N McGraw1, Michael Menzinger
1Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6.
Summary
Periodic flow velocity changes can disrupt wave patterns, creating new traveling waves with frequencies locked to the modulation. This reveals a subtle form of resonant forcing in fluid dynamics.
Area of Science:
- Fluid dynamics
- Wave phenomena
- Nonlinear dynamics
Background:
- Flow-distributed oscillation mechanisms generate standing and traveling waves.
- Understanding wave pattern dynamics under external perturbations is crucial.
Purpose of the Study:
- To investigate the impact of periodically varying flow velocity on wave patterns.
- To analyze the emergence of traveling waves and frequency locking phenomena.
Main Methods:
- Theoretical analysis in the kinematic (diffusionless) limit.
- Examination of systems with significant diffusion and periodic velocity modulation.
Main Results:
- In the diffusionless limit, phase fronts show simple periodic displacement.
- Significant diffusion leads to disruption of wave patterns by velocity modulation.
- Traveling waves emerge with frequencies as rational multiples of the perturbation frequency.
- Observed frequency locking at 1:1, 2:1, and 3:1 ratios.
Conclusions:
- Periodic velocity modulation can induce traveling waves and frequency locking.
- This phenomenon represents a novel type of resonant forcing in fluid systems.