CUED Publications database

Triggering in a thermoacoustic system with stochastic noise

Waugh, IC and Juniper, MP (2011) Triggering in a thermoacoustic system with stochastic noise. International Journal of Spray and Combustion Dynamics, 3. pp. 225-242. ISSN 1756-8277

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Abstract

This paper explores the mechanism of triggering in a simple thermoacoustic system, the Rijke tube. It is demonstrated that additive stochastic perturbations can cause triggering before the linear stability limit of a thermoacoustic system. When triggering from low noise amplitudes, the system is seen to evolve to self-sustained oscillations via an unstable periodic solution of the governing equations. Practical stability is introduced as a measure of the stability of a linearly stable state when finite perturbations are present. The concept of a stochastic stability map is used to demonstrate the change in practical stability limits for a system with a subcritical bifurcation, once stochastic terms are included. The practical stability limits are found to be strongly dependent on the strength of noise.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div A > Energy
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:31
Last Modified: 14 Dec 2014 02:45
DOI: 10.1260/1756-8277.3.3.225