Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Global and Local Hydrodynamic Stability Analysis as a Tool for Combustor Dynamics Modeling

[+] Author and Article Information
Pedro Paredes

School of Aeronautics,
Universidad Politécnica de Madrid,
Pza. Cardenal Cisneros 3,
Madrid 28040, Spain
e-mail: pedro.paredes@upm.es

Steffen Terhaar, Kilian Oberleithner, Christian Oliver Paschereit

Chair of Fluid Dynamics
Technische Universität Berlin,
Müller-Breslau-Str. 8,
Berlin 10623, Germany

Vassilis Theofilis

School of Aeronautics,
Universidad Politécnica de Madrid,
Pza. Cardenal Cisneros 3,
Madrid 28040, Spain

1Corresponding author.

Contributed by the Combustion and Fuels Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received July 15, 2015; final manuscript received July 23, 2015; published online September 1, 2015. Editor: David Wisler.

J. Eng. Gas Turbines Power 138(2), 021504 (Sep 01, 2015) (7 pages) Paper No: GTP-15-1320; doi: 10.1115/1.4031183 History: Received July 15, 2015

Coherent flow structures in shear flows are generated by instabilities intrinsic to the hydrodynamic field. In a combustion environment, these structures may interact with the flame and cause unsteady heat release rate fluctuations. Prediction and modeling of these structures are thereby highly wanted for thermo-acoustic prediction models. In this work, we apply hydrodynamic linear stability analysis to the time-averaged flow field of swirl-stabilized combustors obtained from experiments. Recent fundamental investigations have shown that the linear eigenmodes of the mean flow accurately represent the growth and saturation of the coherent structures. In this work, biglobal and local stability analyses are applied to the reacting flow in an industry-relevant combustion system. Both the local and the biglobal analyses accurately predict the onset and structure of a self-excited global instability that is known in the combustion community as a precessing vortex core (PVC). However, only the global analysis accurately predicts a globally stable flow field for the case without the oscillation, while the local analysis wrongly predicts an unstable global growth rate. The predicted spatial distribution of the amplitude functions using both analyses agrees very well to the experimentally identified global mode. The presented tools are considered as very promising for the understanding of the PVC and physics based flow control.

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Grahic Jump Location
Fig. 1

Generic burner and PIV setup. (a) Generic swirl-stabilized combustor and (b) sketch of the combustor test-rig and the experimental setup.

Grahic Jump Location
Fig. 2

Streamlines of the time-averaged flow fields superimposed on the normalized axial velocity distribution. (a) Detached flame, (b) trumpet flame, and (c) V flame.

Grahic Jump Location
Fig. 3

Normalized through-plane vorticity Ωxy of the experimentally obtained helical global mode for the detached and the trumpet flame. (a) Detached flame and (b) trumpet flame.

Grahic Jump Location
Fig. 4

Predictions of the global stability analysis and comparisons with POD reconstructions of the experimental results. (a) Global frequencies and (b) global mode shape for trumpet flame.



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