Skip to main content
padlock icon - secure page this page is secure

Nonlinear Thermoacoustic Instability Dynamics in a Rijke Tube

Buy Article:

$60.00 + tax (Refund Policy)

We present a data-driven nonlinear and chaos theory–based analysis of thermoacoustic instabilities in a simple Rijke tube. Thermoacoustic instability modes in this simple Rijke tube display very rich nonlinear behavior because of the interaction of acoustic modes and unsteady heat-release processes during combustion. This approach of analyzing thermoacoustic instabilities, their evolution, and interactions differs from traditional linear time-series–based approaches, such as the Fourier transform or the autocorrelation function. The objectives of this work are to address the limitations of conventional linear and model-based nonlinear analyses and to describe the potential of data-driven nonlinear and chaos theory–based analyses to gain a deeper understanding of thermoacoustic instability dynamics for reacting flows. The Rijke tube permits investigation of the nonlinear dynamics of thermoacoustic instabilities in a very systematic way by using picosecond time-resolved laser-induced fluorescence (PITLIF) of the OH radical at a rate of 2500 Hz. The 2500-Hz measurement bandwidth is sufficient to capture all thermoacoustic instability modes encountered in the Rijke tube. Through the use of these nontraditional analyses, we find that thermoacoustic instabilities within the Rijke tube contain chaotic behavior. A simple low-order approximate model and a data-adaptive feedback controller are also introduced for the control of thermoacoustic instabilities.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Keywords: Chaos; Combustion instabilities; Data-driven; Feedback control; Nonlinear; Thermoacoustics

Document Type: Research Article

Affiliations: 1: Purdue University, School of Mechanical Engineering, West Lafayette,Indiana, USA 2: Air Force Research Laboratory, Propulsion Directorate, Wright-Patterson Air Force Base,Ohio, USA 3: Spectral Energies, LLC, Dayton,Ohio, USA

Publication date: March 1, 2012

More about this publication?
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more