Experimental Investigation of Limit-Cycle Oscillations in an Unstable Gas Turbine Combustor

Lieuwen, Tim

doi:10.2514/2.5898

Cited by 286 publications

(95 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When stochastic forcing is present, probability density functions (PDFs) have been used to describe the response of thermoacoustic systems in both experiments and theory [2,15,[18][19][20]. These papers show that a single periodic solution creates a bimodal PDF, and that the addition of other stable solutions creates additional peaks.…”

Section: Figurementioning

confidence: 99%

Triggering in a Thermoacoustic System with Stochastic Noise

Waugh

Juniper

2011

International Journal of Spray and Combustion Dynamics

View full text Add to dashboard Cite

This paper explores the mechanism of triggering in a simple thermoacoustic system, the Rijke tube. It is demonstrated that additive stochastic perturbations can cause triggering before the linear stability limit of a thermoacoustic system. When triggering from low noise amplitudes, the system is seen to evolve to self-sustained oscillations via an unstable periodic solution of the governing equations. Practical stability is introduced as a measure of the stability of a linearly stable state when finite perturbations are present. The concept of a stochastic stability map is used to demonstrate the change in practical stability limits for a system with a subcritical bifurcation, once stochastic terms are included. The practical stability limits are found to be strongly dependent on the strength of noise.

show abstract

Section: Figurementioning

confidence: 99%

Triggering in a Thermoacoustic System with Stochastic Noise

Waugh

Juniper

2011

International Journal of Spray and Combustion Dynamics

View full text Add to dashboard Cite

show abstract

“…Nonlinear instability of this nature has been called pulsed or triggered instability [2,3]. Both linear and nonlinear (triggered) instability have been observed in recent experiments on a gas turbine combustor as well [4].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Dynamics of Nonlinear Acoustic Waves in a Combustion Chamber

Ananthkrishnan¹,

Deo²,

Culick³

2002

38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference &Amp;amp; Exhibit

View full text Add to dashboard Cite

Future combustors designed for better efficiency and lower pollutant emission are expected to operate closer to their stability boundary, thereby increasing the risk of encountering combustion instability. Onset of combustion instability leads to limit cycle oscillations in the acoustical fluctuations that can often reach amplitudes large enough to cause severe damage. Active control strategies are, therefore, being considered to prevent combustion instabilities, but their development requires nonlinear models that can faithfully capture the combustor system dynamics. A framework for the approximate analysis of the nonlinear acoustics in a combustion chamber exists, which includes all relevant linear contributions and also second order gasdynamic nonlinearities. Nonlinear combustion effects in the form of pressure and velocity coupling models have also been incorporated into the analysis with the aim of capturing the phenomenon of triggered instability, where the acoustical fluctuations are linearly stable to small perturbations, but show a limit cycle behavior for larger perturbations. However, several questions such as those relating to 1) modal truncation of the equations for the acoustic dynamics, 2) absence of triggered limit cycles in the formulation with only second order gasdynamic nonlinearities, and 3) the form of the velocity coupling function, including the need for a threshold character, have not been satisfactorily resolved. In this paper, we address some of these questions on modeling and dynamics of acoustic waves in combustion chambers, using the approximate analysis, that have remained unanswered over the years.

show abstract

“…They also allow for an easy distinction between processes having a deterministic factor on a circle (deterministic limit cycling) with additive noise, and lightly damped but stable (i.e. determistic factor has a fixed point) process -a question that received some interest in the combustion literature [10,7].…”

Section: Model Validation For Random Dynamical Systemsmentioning

confidence: 99%

Nonlinear Dynamics and Ergodic Theory Methods in Control

Mezić¹

2003

View full text Add to dashboard Cite

The public reporting burden for this .collection of information is estimated to average 1 hour per response, inclu:^ gathering and maintaining the data needed, and completing and reviewing the collection of information. SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release, distribution unlimited. SUPPLEMENTARY NOTES ABSTRACTWe have continued to work on control of complex nonlinear systems and pursued applications to control of mixing, control of nanoscale processes and control of microscale mixing. At the Pi's group, 1 graduate student (Umesh Vaidya) was working on the problem of control of discrete-time, conservative systems and quantum control. Another student (Zoran Levnajic) worked on problems in visualization of dynamical systems. A postdoctoral student (Dmitri Vainchtein) continued working on the problem of flow control using tools fi-om dynamical systems theory and vortex dynamics and pursued a problem in control of nanopartical seperation. The PI worked on ergodic theory methods for control of systems with drift and qptimazation of mixing in a paper appeared in the journal Nature. The PI also worked extending the framework for model validation of Random Dynamical Systems i the framework of the Koopman operator developed into dynamical systems treatment of uncertainty analysis.

show abstract

Experimental Investigation of Limit-Cycle Oscillations in an Unstable Gas Turbine Combustor

Cited by 286 publications

References 9 publications

Triggering in a Thermoacoustic System with Stochastic Noise

Triggering in a Thermoacoustic System with Stochastic Noise

Modeling and Dynamics of Nonlinear Acoustic Waves in a Combustion Chamber

Nonlinear Dynamics and Ergodic Theory Methods in Control

Contact Info

Product

Resources

About