Self-Coupled Rijke tube

We implement acoustic self-feedback, also known as Pyragas Method in nonlinear science parlance, to control thermoacoustic oscillations in a Rijke tube.

Self-coupling. We demonstrate the quenching of thermoacoustic instability through self-coupling – a method wherein a hollow tube is used to provide acoustic self-feedback to a thermoacoustic system. Through experiments and modeling, we identify the optimal coupling conditions for attaining amplitude death, i.e., complete suppression of thermoacoustic instabilities, in a horizontal Rijke tube. We examine the effect of both system and coupling parameters on the occurrence of amplitude death. We thereby show that the parametric regions of amplitude death occur when the coupling tube length is close to an odd multiple of the length of the Rijke tube. The optimal location of the coupling tube for achieving amplitude death is near the anti-node of the acoustic standing wave in the Rijke tube. Furthermore, we find that self-coupling mitigates thermoacoustic instability in a Rijke tube more effectively than mutual coupling of two identical Rijke tubes.