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

Prediction of the Thermoacoustic Combustion Instabilities in Practical Annular Combustors

[+] Author and Article Information
Giovanni Campa

Dipartimento di Meccanica,
Matematica e Management,
Politecnico di Bari,
via Re David 200,
Bari 70125, Italy
e-mail: campa@imedado.poliba.it

Sergio Mario Camporeale

Dipartimento di Meccanica,
Matematica e Management,
Politecnico di Bari,
via Re David 200,
Bari 70125, Italy
e-mail: sergio.camporeale@poliba.it

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 December 20, 2012; final manuscript received March 1, 2014; published online March 26, 2014. Assoc. Editor: Kalyan Annamalai.

J. Eng. Gas Turbines Power 136(9), 091504 (Mar 26, 2014) (10 pages) Paper No: GTP-12-1489; doi: 10.1115/1.4027067 History: Received December 20, 2012; Revised March 01, 2014

A three-dimensional finite element code is used for the eigenvalue analysis of the thermoacoustic combustion instabilities modeled through the Helmholtz equation. A full annular combustion chamber, equipped with several burners, is examined. Spatial distributions for the heat release intensity and for the time delay are used for the linear flame model. Burners, connecting the plenum and the chamber, are modeled by means of the transfer matrix method. The influence of the parameters characterizing the burners and the flame on the stability levels of each mode of the system is investigated. The obtained results show the influence of the 3D distribution of the flame on the modes. Additionally, the results show what types of modes are most likely to yield humming in an annular combustion chamber. The proposed methodology is intended to be a practical tool for the interpretation of the thermoacoustic phenomenon (in terms of modes, frequencies, and stability maps) both in the design stage and in the check stage of gas turbine combustion chambers.

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Figures

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Fig. 1

Computational domain and boundary conditions of the annular combustion chamber

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Fig. 2

Computational grid of the annular combustion chamber

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Fig. 3

Schematization of the burner transfer matrix on the left, with the downstream junction of the BTM highlighted in the right

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Fig. 4

Sketch of one element of the injection system and the initial path lines of the particles

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Fig. 5

Temperature field from RANS simulation. The values are normalized against the maximum corresponding value.

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Fig. 6

Normalized heat release distributions obtained from RANS simulation

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Fig. 7

Normalized time delay distributions obtained from RANS simulations

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Fig. 8

On the left side mode 3, axial waveform, and on the right side mode 4, azimuthal waveform n = 1 in the entire system

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Fig. 9

On the left side mode 8, azimuthal waveform n = 3 in the plenum, and on the right side mode 13, azimuthal waveform n = 2 in the combustion chamber and mixed mode in the plenum

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Fig. 10

Combustion chamber modes for different values of ζ with the spatially distributed flame, Eq. (13). τ = 7 ms.

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Fig. 11

Combustion chamber modes for different values of τ with the spatially distributed flame, Eq. (13). Pressure loss coefficient ζ = 0.98.

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Fig. 12

Mode 3 (a) and mode 13 (b) patterns for different values of τ with the spatially distributed flame, Eq. (13): growth rate and Rayleigh index

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Fig. 13

Rayleigh index for mode 3 (a) and mode 13 (b) for three different cases: τ = 5 ms, τ = 7 ms, and spatial distribution of τ

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Fig. 14

Mode 13 patterns for different values of κ, Eq. (13)

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Fig. 15

Computational domain of the whole annular combustion chamber, of half system, and of a quarter of the system

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