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Canard explosions in turbulent thermo-fluid systems
Ramesh S Bhavi1,2, Sivakumar Sudarsanan1,2, Manikandan Raghunathan1,2
1Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai, Tamil Nadu 600036, India.
Researchers discovered a novel "canard explosion" in turbulent reactive flows, showing a continuous transition with bursting oscillations. This phenomenon differs from abrupt jumps, offering new insights into thermo-fluid system dynamics.
Area of Science:
- Fluid Dynamics
- Thermodynamics
- Nonlinear Dynamics
Background:
- Thermo-fluid systems can exhibit catastrophic transitions to high-amplitude oscillations.
- Conventional transitions are abrupt jumps in fluctuation amplitude.
- Turbulent reactive flows present complex dynamic behaviors.
Purpose of the Study:
- To experimentally discover and characterize a novel transition mechanism in turbulent reactive flow systems.
- To investigate the phenomenon of canard explosion and its associated dynamics.
- To develop a phenomenological model explaining the observed canard explosion.
Main Methods:
- Experimental investigation of a turbulent reactive flow system.
- Analysis of fluctuation amplitudes and temperature variations.
- Development and application of a phenomenological model for thermoacoustic systems.
Main Results:
- Observed a continuous bifurcation, termed canard explosion, with a rapid amplitude rise.
- Identified a bursting state with high-amplitude oscillations interspersed with low-amplitude ones.
- Correlated slower time-scale temperature fluctuations with the burst amplitude envelope.
Conclusions:
- The canard explosion represents a unique transition pathway in turbulent reactive flows.
- The bursting behavior is distinct from conventional intermittency and exhibits larger amplitude bursts.
- A phenomenological model explains the canard explosion via slow-fast dynamics at the bifurcation regime.
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