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Coherence resonance in a thermoacoustic system
Lipika Kabiraj1, Richard Steinert1, Aditya Saurabh1
1Chair of Fluid Dynamics, Hermann-Föttinger-Institut (HFI), Technische Universität Berlin, D-10623 Berlin, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
Summary
Noise influences thermoacoustic systems near a Hopf bifurcation. Coherence resonance acts as a precursor, enhancing system stability before oscillations emerge.
Area of Science:
- Physics
- Nonlinear Dynamics
- Fluid Dynamics
Background:
- Thermoacoustic systems are prone to self-excited oscillations.
- Hopf bifurcations describe the transition from stable states to oscillatory behavior.
- Noise can significantly alter the dynamics of nonlinear systems.
Purpose of the Study:
- To experimentally investigate noise-induced dynamics in a thermoacoustic system.
- To identify precursors to a subcritical Hopf bifurcation.
- To understand the role of noise in the onset of thermoacoustic oscillations.
Main Methods:
- Experimental setup of a prototypical thermoacoustic system.
- Analysis of pressure oscillations in the combustor.
- Measurement of heat release rate fluctuations.
- Systematic variation of noise levels.
Main Results:
- Observed precursors to the Hopf bifurcation with increasing noise.
- Identified coherence resonance as the mechanism behind these precursors.
- Characterized the noise-induced dynamics prior to the bistable regime.
Conclusions:
- Noise can induce predictable dynamics in thermoacoustic systems.
- Coherence resonance plays a crucial role in the transition to oscillations.
- Understanding these precursors is vital for controlling thermoacoustic instabilities.
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