Full Content is available to subscribers

Subscribe/Learn More  >

Modeling of Unstable Regimes in a Rijke Tube

[+] Author Affiliations
K. I. Matveev, F. E. C. Culick

California Institute of Technology, Pasadena, CA

Paper No. IMECE2002-33369, pp. 861-870; 10 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • 5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-3659-2 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


In the ducts with mean flows and heat sources, excitation of acoustic eigen modes is possible when unsteady heat release is coupled with pressure perturbations. The simplest device for studying the fundamental principles of thermoacoustic instabilities in the presence of a mean flow is a Rijke tube. In this work a series of experiments was carried out to determine the conditions for the transition to instability and the non-linear characteristics of a Rijke tube, such as limit-cycle amplitudes and frequencies of the dominant mode. Sound, excited in the tube, affects the heat transfer process; that leads to modifications of the acoustic mode shapes and steady state properties. It was observed in the experiment that the thermoacoustic system possesses hysteresis. A mathematical model incorporating heat transfer, acoustics, and thermoacoustic interactions is developed for determining the transition to instability. The dominant nonlinear factor in the system, defining the limit-cycle characteristics, is the nonlinearity of the heater transfer function. Two approximate and generally applicable nonlinear models are considered, and results of the modeling are compared with the experimental data for one position of the heater. The influence of noise on the transitions between stable and unstable regimes is discussed.

Copyright © 2002 by ASME
Topics: Modeling



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In