Effect of time-delay and dissipative coupling on amplitude death in coupled thermoacoustic oscillators
Abstract
We here systematically investigate amplitude death (AD) phenomenon in a thermoacoustic system using a mathematical model of coupled prototypical thermoacoustic oscillators, the horizontal Rijke tubes. AD has recently been identified as a relatively simple phenomenon, which can be exploited to stop the unwanted high amplitude pressure oscillations resulting from the occurrence of thermoacoustic instability. We examine the effect of time-delay and dissipative couplings on a system of two Rijke tubes when they are symmetrically and asymmetrically coupled. The regions where appropriate combinations of delay time, detuning, and the strengths of time-delay and dissipative coupling lead to AD are identified. The relative ease of attaining AD when both the couplings are applied simultaneously is inferred from the model. In the presence of strong enough coupling, AD is observed even when the oscillators of dissimilar amplitudes are coupled, while a significant reduction in the amplitudes of both the oscillators is observed when the coupling strength is not enough to attain AD.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 01, 2018
- Source ID
- 10.1063/1.5009999
Entities
People
- Nevin Thomas
- R I Sujith
- Samadhan A Pawar
- Sirshendu Mondal
Organizations
- Indian Institute of Technology Madras
- Office of Naval Research Global