Rijke tube: A nonlinear oscillator

K Manoj, SA Pawar, J Kurths, RI Sujith - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
Dynamical systems theory has emerged as an interdisciplinary area of research to
characterize the complex dynamical transitions in real-world systems. Various nonlinear …

Experimental implementation of retrospective cost adaptive control for suppressing thermoacoustic oscillations in a Rijke tube

JA Paredes, DS Bernstein - IEEE Transactions on Control …, 2023 - ieeexplore.ieee.org
Thermoacoustic systems are self-oscillating due to the fact that a constant input (eg, fuel rate
in gas-turbine combustors) yields an asymptotically oscillatory response. This behavior …

Adaptive backstep** stabilization of thermoacoustic instability in a linearized ODE-PDE Rijke tube model

E Aarabi, M Ghadiri-Modarres, M Mojiri - IEEE Access, 2023 - ieeexplore.ieee.org
This paper proposes an adaptive scheme for the boundary stabilization of thermoacoustic
instability in the Rijke tube system using the backstep** method. The mathematical model …

Three-dimensional interaction of thermoacoustic modes in a circular tube

W Zhou, X Wang, G Zhang, M Heckl, X Sun - Journal of Sound and …, 2025 - Elsevier
This study applies the Green's function method to investigate the modal interaction during
thermoacoustic instability specifically in the afterburner. The afterburner is modelled as a …

Experimental Application of Predictive Cost Adaptive Control to Thermoacoustic Oscillations in a Rijke Tube

JA Paredes, DS Bernstein - arxiv preprint arxiv:2402.00346, 2024 - arxiv.org
Model predictive control (MPC) has been used successfully in diverse applications. As its
name suggests, MPC requires a model for predictive optimization. The present paper …

Heat release and flame structure measurements of self-excited acoustically-driven premixed methane flames

KM Kopp-Vaughan, SG Tuttle, MW Renfro… - Combustion and …, 2009 - Elsevier
An open–open organ pipe burner (Rijke tube) with a bluff-body ring was used to create a
self-excited, acoustically-driven, premixed methane–air conical flame, with equivalence …

Thermoacoustic instability in a Rijke tube with a distributed heat source

X Yang, A Turan, S Lei - Journal of Thermodynamics, 2015 - Wiley Online Library
A Rijke tube with a distributed heat source is investigated. Driven by the widely existing
thermoacoustic instability in lean premixed gas turbine combustors, this work aims to …

Bifurcation and nonlinear analysis of a time-delayed thermoacoustic system

X Yang, A Turan, S Lei - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In this paper, of primary concern is a time-delayed thermoacoustic system, viz. a horizontal
Rijke tube. A continuation approach is employed to capture the nonlinear behaviour …

Study of thermoacoustic phenomenon in a Rijke tube

CAA Atis, M Sarker, M Ehsan - Procedia Engineering, 2014 - Elsevier
Thermoacoustics is concerned with the interactions between heat (thermo) and pressure
oscillations in gases (acoustics). A “Rijke Tube”, named after its inventor, is a fundamental …

Heat resistant probe combining optic and acoustic sensors for advanced combustion monitoring including detection of flame instabilities

GE Kraft, F Giuliani, L Pfefferkorn… - … Expo: Power for …, 2017 - asmedigitalcollection.asme.org
Jet engines have remained almost entirely mechanical machines for fail-safe reasons,
despite the increasing sophistication of modern gas turbines. However, the trend goes …