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

Numerical Investigation of Combustion Instability in a V-Gutter Stabilized Combustor

[+] Author and Article Information
V. Babu

e-mail: vbabu@iitm.ac.in
Department of Mechanical Engineering,
Indian Institute of Technology,
Madras 600 036, India

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 4, 2012; final manuscript received July 9, 2013; published online September 20, 2013. Assoc. Editor: Joseph Zelina.

J. Eng. Gas Turbines Power 135(12), 121501 (Sep 20, 2013) (9 pages) Paper No: GTP-12-1469; doi: 10.1115/1.4025261 History: Received December 04, 2012; Revised July 09, 2013

The stability of the combustion process in a V-gutter stabilized combustor is numerically investigated. To this end, 3D compressible turbulent and unsteady reacting flow calculations have been carried out using LES. The time history of the pressure at several locations is used to determine the frequency and amplitude of the oscillations along with the mode shapes. A shift in the dominant mode of the frequency spectra from the acoustic mode to the hydrodynamic mode is observed. A POD analysis of pressure time histories on the symmetry plane also corroborates this trend. The computational domain is divided into several subvolumes in the wake region of the V-gutter and the time histories of pressure, temperature, and heat release are collected in the individual volumes. It is seen that the fluctuation of pressure and heat release tend to oscillate from being in phase to out of phase over a time period. Unstable regions predicted by the Rayleigh index across a plane are shown to be different from those predicted in a volume owing to the three dimensionality of the flame. Quite interestingly, the calculated values of the indices show the combustor to be most unstable for an equivalence ratio of 0.1665 which is not the leanest one considered here. The global Rayleigh index is shown to correlate well with the amplitude of the dominant mode.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Lord Rayleigh, J. W. S., 1878, “The Explanation of Certain Acoustical Phenomena,” Nature (London), 18, pp. 319–321. [CrossRef]
Barrère, M. and Williams, F. A., 1969, “Comparison of Combustion Instabilities Found in Various Types of Combustion Chambers,” Symp. (Int.) Combust., 12(1), pp. 169–181. [CrossRef]
Chu, B. T., 1965, “On the Energy Transfer to Small Disturbances in Fluid Flow,” Acta Mech., 1(3), pp. 215–234. [CrossRef]
Nicoud, F. and Poinsot, T., 2005, “Thermoacoustic Instabilities: Should the Rayleigh Criterion be Extended to Include Entropy Changes?,” Combust. Flame, 142, pp. 153–159. [CrossRef]
Laverdant, A. and Thévenin, D., 2003, “Interaction of a Gaussian Acoustic Wave With a Turbulent Premixed Flame,” Combust. Flame, 134, pp. 11–19. [CrossRef]
Roux, A., Gicquel, L. Y. M., Sommerer, Y., and Poinsot, T. J., 2008, “Large Eddy Simulation of Mean and Oscillating Flow in a Side–Dump Ramjet Combustor,” Combust. Flame, 152, pp. 154–176. [CrossRef]
Kostka, S., Lynch, A. C., Huelskamp, B. C., Kiel, B. V., Gord, J. R., and Roy, S., 2012, “Characterization of Flame-Shedding Behavior Behind a Bluff-Body Using Proper Orthogonal Decomposition,” Combust. Flame, 159, pp. 2872–2882. [CrossRef]
Möller, S. I., Lundgren, E., and Fureby, C., 1996, “Large Eddy Simulation of Unsteady Combustion,” Symp. (Int.) Combust., 26(1), pp. 241–248. [CrossRef]
Staffelbach, G., Gicquel, L. Y. M., Boudier, G., and Poinsot, T., 2009, “Large Eddy Simulation of Self Excited Azimuthal Modes in Annular Combustors.” Proc. Combust. Inst., 32, pp. 2909–2916. [CrossRef]
Sivakumar, R. and Chakravarthy, S. R., 2008, “Experimental Investigation of the Acoustic Field in a Bluff-Body Combustor,” Int. J. Aeroacoust., 7(3-4), pp. 267–299. [CrossRef]
Sivakumar, R. and Babu, V., 2008, “Numerical Simulations of the 3D Unsteady Flow in a Bluff-Body Combustor,” Int. J. Aeroacoust., 7(3-4), pp. 301–319. [CrossRef]
Afshari, A., Jaberi, F. A., and Shih, T. I.-P., 2008, “Large-Eddy Simulations of Turbulent Flows in an Axisymmetric Dump Combustor,” AIAA J., 46(7), pp. 1576–1592. [CrossRef]
Turns, S., 2006, An Introduction to Combustion, 2nd ed., McGraw-Hill, New York.
Leonard, B. P., 1991, “The ULTIMATE Conservative Difference Scheme Applied to Unsteady One-Dimensional Advection,” Comput. Methods Appl. Mech. Eng., 88, pp. 17–74. [CrossRef]
Pope, S. B., 2000, Turbulent Flows, Cambridge University Press, Cambridge, UK.
Smagorinsky, J., 1963, “General Circulation Experiments With the Primitive Equations. I. The Basic Experiment,” Mon. Weather Rev., 91(3) pp. 99–164. [CrossRef]
Jones, W. P. and Lindstedt, P., 1988, “Global Reaction Schemes for Hydrocarbon Combustion”, Combust. Flame, 73, pp. 233–249. [CrossRef]
Spalding, D. B., 1971, “Mixing and Chemical Reaction in Steady Confined Turbulent Flames,” Symp. (Int.) Combust., 13(1), pp. 649–657. [CrossRef]
Magnussen, B. F. and Hjertager, B. H., 1976, “On Mathematical Modeling of Turbulent Combustion With Special Emphasis on Soot Formation and Combustion,” Symp. (Int.) Combust., 16(1), pp. 719–729. [CrossRef]
Magnussen, B. F., 1981, “On the Structure of Turbulence and a Generalized Eddy Dissipation Concept for Chemical Reaction in Turbulent Flow,” Nineteenth AIAA Meeting.
Menon, S. and Jou, W. H., 1990, “Large Eddy Simulation of Combustion Instability in an Axisymmetric Ramjet Combustor,” Paper No. AIAA-90-0267.
Kailasanath, K., Gardener, J. H., Oran, E. S., and Boris, J. P., 1989, “Effects of Energy Release on High Speed Flows in an Axisymmetric Combustor,” AIAA Paper No. 89-0385. [CrossRef]
Schimmer, H. and Vortmeyer, D., 1977, “Acoustical Oscillation in a Combustion System With a Flat Flame,” Combust. Flame, 28, pp. 17–24. [CrossRef]
Celik, I. P., Cehrell, Z. N., and Yavuz, I., 2005, “Index of Resolution Quality for Large Eddy Simulations,” ASME J. Fluids Eng., 127, pp. 949–958. [CrossRef]
Fureby, C., 2010, “LES of Multi-Burner Annular Gas Turbine Combustor,” Flow, Turbul. Combust., 84, pp. 543–564. [CrossRef]
Liang, Y. C., Lee, H. P., Lim, S. P., Lin, W. Z., Lee, K. H., and Wu, C. G., 2002, “Proper Orthogonal Decomposition and Its Applications—Part I: Theory,” J. Sound Vib., 252(3), pp. 527–544. [CrossRef]
Samaniego, J. M., Yip, B., Poinsot, T., and Candel, S., 1993, “Low-Frequency Combustion Instability Mechanisms in a Side-Dump Combustor,” Combust. Flame, 94, pp. 363–380. [CrossRef]


Grahic Jump Location
Fig. 4

Demonstration of the flow-acoustic lock-on and a comparison with experimental data. Open symbols represent experimental values [10] and filled symbols are the present results. The dashed lines are trend lines.

Grahic Jump Location
Fig. 5

Mode shapes for various air flow inlet velocities. Open symbols are experimental values [10] and filled symbols are the present results. The location of the V-gutter is indicated by the dashed line.

Grahic Jump Location
Fig. 2

Pressure spectra at different monitors on the wall along the length of the test section

Grahic Jump Location
Fig. 8

Fluctuations of the dimensionless pressure (p′) and heat release (q′) (left) and the temperature (T′) and heat release (q′) (right) for two air flow velocities in the subvolume located 33.5 mm downstream of the V-gutter

Grahic Jump Location
Fig. 1

Cross-section of the experimental setup [10] and computational domain

Grahic Jump Location
Fig. 6

Contours of major pressure fluctuations obtained from the POD for various air flow rates. Flow is from left to right.

Grahic Jump Location
Fig. 3

Spectra at a location (x = 1550 mm) downstream of the V-gutter

Grahic Jump Location
Fig. 7

Contours of major vorticity fluctuations obtained from the POD for various air flow rates. Flow is from left to right.

Grahic Jump Location
Fig. 9

Contours of the product p′q′ on the symmetry plane for an air velocity of 14.52 m/s at various time instants (a) t = 0.1 s, (b) t = 0.2 s, (c) t = 0.3 s, (d) t = 0.4 s, and (e) the time averaged value. Only positive values (unstable regions) are shown. Flow is from left to right.

Grahic Jump Location
Fig. 10

Unstable regions (R(x) > 0) predicted by the Rayleigh index. Flow is from left to right. The V-gutter is shown at the extreme left.

Grahic Jump Location
Fig. 11

Variation of global values of the Rayleigh index, modified Rayleigh index, and amplitude of the dominant mode with the air flow rate




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 Journal Articles
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