Thermoacoustic Stability of Quasi-One-Dimensional Flows–Part I: Analytical and Numerical Formulation

[+] Author and Article Information
Dilip Prasad, Jinzhang Feng

Aerodynamics Division, Pratt & Whitney Aircraft Engines, East Hartford, CT 06108

J. Turbomach 126(4), 637-644 (Dec 29, 2004) (8 pages) doi:10.1115/1.1791288 History: Received October 01, 2003; Revised March 01, 2004; Online December 29, 2004
Copyright © 2004 by ASME
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Culick,  F. E. C., 1994, “Some Recent Results for Nonlinear Acoustics in Combustion Chambers,” AIAA J., 32, pp. 146–269.
Pankiewitz, C., and Sattelmayer, T., 2002, “Time Domain Simulation of Combustion Instabilities in Annular Combustors,” ASME Paper GT-2002-30064.
Cohen,  J. M., Wake,  B. E., and Choi,  D., 2003, “Investigation of Instabilities in a Lean Premixed Step Combustor,” J. Propul. Power, 19, pp. 81–88.
Bloxsidge,  G. J., Dowling,  A. P., and Langhorne,  P. J., 1988, “Reheat buzz: An Acoustically Coupled Combustion Instability. Part 2. Theory,” J. Fluid Mech., 193, pp. 445–473.
Dowling,  A. P., 1995, “The Calculation of Thermoacoustic Oscillations,” J. Sound Vib., 180, pp. 557–581.
Keller,  J. J., 1995, “Thermoacoustic Oscillations in Combustion Chambers of Gas Turbines,” AIAA J., 33, pp. 2280–2287.
Stow, S. R., and Dowling, A. P., 2001, “Thermoacoustic Oscillations in an Annular Combustor,” ASME Paper 2001-GT-0037.
Evesque, S., and Polifke, W., 2002, “Low-order Acoustic Modelling for Annular Combustors: Validation and Inclusion of Modal Coupling,” ASME Paper GT-2002-30064.
Marble,  F. E., and Candel,  S. M., 1977, “Acoustic Disturbance from Gas Non-uniformities Convected Through a Nozzle,” J. Sound Vib., 55, pp. 225–243.
Culick,  F. E. C., and Rogers,  T., 1983, “The Response of Normal Shocks in Diffusers,” AIAA J., 21, pp. 1382–2390.
Whitham, G. B., 1974, Linear and Nonlinear Waves (Wiley, New York).
Tam,  C. K. W., and Hu,  F. Q., 1989, “On the Three Families of Instability Waves of High-Speed Jets,” J. Fluid Mech., 201, pp. 447–483.
Kuo,  C.-Y., and Dowling,  A. P., 1996, “Oscillations of a Moderately Underexpanded Choked Jet Impinging Upon a Flat Plate,” J. Fluid Mech., 315, pp. 267–291.
Munjal, M. L., 1987, Acoustics of Ducts and Mufflers with Application to Exhaust and Ventilation System Design (Wiley, New York).
Prasad,  D., and Feng,  J., 2004, “Thermoacoustic Stability of Quasi-One-Dimensional Flows. Part II Application to Basic Flows,” J. Turbomach, 126, pp. 644–652.
Lin, R.-S., “Entropy Driven Thermoacoustic Instability,” (unpublished).


Grahic Jump Location
Numerical (•) and analytical (–) magnitude (top panel) and phase (bottom panel) of the pressure mode corresponding to the third eigenvalue in Table 1
Grahic Jump Location
(a) Mean flow for the configuration of Lin 16. (b),(c),(d) Pressure and entropy mode shapes corresponding to ω2 in Table 216: the present results (–) are compared with those of Lin 16 ([[dashed_line]])



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