A Transfer Function Representation of Thermo-Acoustic Dynamics for Combustors

In this paper, we present a transfer function
representation of a general one-dimensional combustor. The input
of the transfer function is a heat rate perturbation of a burner and
the output is a flow velocity perturbation at the burner. This paper
considers a general combustor model composed of multiple cans with
different cross sectional areas, along with a non-zero flow rate.

Authors:

• Myunggon Yoon
• Jung-Ho Moon

Keywords:

• Thermoacoustics
• dynamics
• combustor
• transfer function.

References:

[1] S. W. Rienstra and A. Hirschberg, An Introduction to Acoustics.
Eindhoven University of Technology, 2016.
[2] J. Li and A. S. Morgans, “Time domain simulations of nonlinear
thermoacoustic behaviour in a simple combustor using a wave-based
approach,” Journal of Sound and Vibration, vol. 346, pp. 345–360, 2015.
[3] A. P. Dowling, “Nonlinear self-excited osillations of a ducted flame,” J.
of Fluid Mech., vol. 346, pp. 271–290, 1997.
[4] J. Li, D. Yang, C. Luzzato, and A. S. Morgans, “Open source combustion
instability low order simulator (osciloslong),” Imperial College, Tech.
Rep.
[5] A. Dowling and S. Stow, “Acoustic analysis of gas turbine combustors,”
Journal of Propulsion and Power, vol. 19, pp. 751–764, 2003.
[6] F. Fahy, Foundation of Engineering Acoustics. San Diego, California:
Elsevier Academic Press, 2009.