CUED Publications database

Transient growth and triggering in the horizontal Rijke tube Matthew

Juniper, MP (2011) Transient growth and triggering in the horizontal Rijke tube Matthew. International Journal of Spray and Combustion Dynamics, 3. pp. 209-224. ISSN 1756-8277

Full text not available from this repository.

Abstract

This theoretical paper examines a non-normal and non-linear model of a horizontal Rijke tube. Linear and non-linear optimal initial states, which maximize acoustic energy growth over a given time from a given energy, are calculated. It is found that non-linearity and non-normality both contribute to transient growth and that, for this model, linear optimal states are only a good predictor of non-linear optimal states for low initial energies. Two types of non-linear optimal initial state are found. The first has strong energy growth during the first period of the fundamental mode but loses energy thereafter. The second has weaker energy growth during the first period but retains high energy for longer. The second type causes triggering to self-sustained oscillations from lower energy than the first and has higher energy in the fundamental mode. This suggests, for instance, that low frequency noise will be more effective at causing triggering than high frequency noise.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div A > Energy
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:31
Last Modified: 08 Dec 2014 02:28
DOI: 10.1260/1756-8277.3.3.209