Non-linear response of a generalized Rijke tube

The mathematical model of unsteady velocity sensitive thermoacoustic interactions in a heated duct (generalized Rijke tube) reported by the authors in a previous publication is used to predict non-linear response. Both closed form and numerical solutions of equations derived by an approximate modal analysis are presented and employed to illustrate and investigate the bootstrapping instability mechanism observed in rocket motors. (C) 2001 Elsevier Science Ltd. All rights reserved.