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TECHNICAL PAPERS: Gas Turbines: Combustion and Fuels

Transfer Function Calculations for Aeroengine Combustion Oscillations

[+] Author and Article Information
M. Zhu

Department of Thermal Engineering, Tsinghua University, Beijing 100084, Chinae-mail: zhumin@tsinghua.edu.cn

A. P. Dowling, K. N. C. Bray

Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK

J. Eng. Gas Turbines Power 127(1), 18-26 (Feb 09, 2005) (9 pages) doi:10.1115/1.1806451 History: Received December 01, 2000; Revised March 01, 2001; Online February 09, 2005
Copyright © 2005 by ASME
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References

Figures

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Schematic diagram of the geometry
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Contour plot of the mean temperature distribution chamber at idle conditions. The black line indicates the mean position of the stoichiometric curve and arrows denote the direction and magnitude of the mean velocity.
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Sinusoidal changes of the total pressure in the atomiser air inlet lead to oscillations in the mixture fraction, scalar dissipation, and heat release rate at points A and B
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The transfer function between the heat release rate per unit length and the sinusoidal changes of air flow rate through the atomizer at the forcing frequency of 50 Hz
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(a) The air mass flow rate at the inlet boundary as the impulse function was applied. (b) The downstream response of the heat release rate at the location x=0.088 m, where the solid lines indicate the result from the CFD calculation and dashed line indicates that from the IIR filter in time domain.
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The transfer function between the heat release rate per unit length and the sinusoidal changes of air flow rate through the atomizer at frequency 50 Hz, where the dashed lines indicate the result from the harmonic forcing calculation and solid lines indicate that from the IIR filter
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The variations of the total pressure, air mass flow rate, and the Sauter mean diameter in the atomizer inlet due to the forcing of the random binary signal
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The variations of the total pressure, air mass flow rate, and the Sauter mean diameter in the atomizer inlet due to the forcing by the sum of the random sinusoids
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The transfer function between the heat release rate per unit length and the sinusoidal changes of air flow rate through the atomizer at frequency 50 Hz, where the dashed lines indicate the result from the harmonic forcing calculation and solid lines indicate that from the random binary signal forcing calculation
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The transfer function between the heat release rate per unit length and the sinusoidal changes of air flow rate through the atomizer at frequency 50 Hz, where the dashed lines indicate the result from the harmonic forcing calculation and solid lines indicate that from the sum of the random sinusoids forcing calculation
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Magnitude and phase of the transfer function between heat release rate per unit length and air flow rate through the atomizer, for a location x0=0.014 m in the primary zone, calculated by forcing by the sum of random sinusoids
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Magnitudes (a) and phases (b) of the frequency response of local heat release rate, mixture fraction, and scalar dissipation calculated by forcing by the sum of sinusoids at point A in Fig. 1
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Magnitudes (a) and phases (b) of the frequency response of local heat release rate, mixture fraction, and scalar dissipation calculated by forcing by the sum of sinusoids at point B in Fig. 1
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Magnitude and phase of the transfer function between heat release rate per unit length and air flow rate through the atomiser, for a location x0=0.226 m in the dilution zone, calculated by forcing by the sum of random sinusoids
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The lag-time τ against axial coordinate

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