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Effect of external noise on the hysteresis characteristics of a thermoacoustic system

Published online by Cambridge University Press:  10 July 2015

E. A. Gopalakrishnan  and
R. I. Sujith
E. A. Gopalakrishnan*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600 036, India
R. I. Sujith
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600 036, India
*
†Email address for correspondence: gopalakrishnanea82@gmail.com
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Abstract

We present the effect of noise on the hysteresis characteristics of a prototypical thermoacoustic system, a horizontal Rijke tube. As we increase the noise intensity, we find that the width of the hysteresis zone decreases. However, we find that the rate of decrease in hysteresis width is constant for all the mass flow rates considered in the present study. We also show that the subcritical transition observed in the absence of noise is no longer discernible once the intensity of noise is above a threshold value and the transition appears to be continuous. We compare our experimental observations with the results obtained from a numerical model perturbed with additive Gaussian white noise and we find a qualitative agreement between the experimental and the numerical results.

JFM classification

Nonlinear Dynamical Systems: Bifurcation Instability: Instability Nonlinear Dynamical Systems: Nonlinear Dynamical Systems
Type
Papers
Information
Journal of Fluid Mechanics , Volume 776 , 10 August 2015 , pp. 334 - 353
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Copyright
© 2015 Cambridge University Press 

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