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TECHNICAL PAPERS: Gas Turbines: Combustion and Fuel

Forced Oscillations in Combustors With Spray Atomizers

[+] Author and Article Information
M. Zhu, A. P. Dowling, K. N. C. Bray

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

J. Eng. Gas Turbines Power 124(1), 20-30 (Mar 01, 1999) (11 pages) doi:10.1115/1.1396841 History: Received October 01, 1998; Revised March 01, 1999
Copyright © 2002 by ASME
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References

Tolpadi,  A., 1995, “Calculation of Two-Phase Flow in Gas Turbine Combustors,” ASME J. Eng. Gas Turbines Power, 117, pp. 695–703.
Williams, F., 1985, Combustion Theory, 2 Ed., Benjamin/Cummings, Menlo Park, CA.
Gosman,  A., and Ioannides,  E., 1983, “Aspects of Computer Simulation of Liquid-Fueled Combustors,” J. Energy, 7, No. 6, pp. 482–490.
Lefebvre, A., 1989, Atomization and Sprays, Hemisphere, New York.
Zhu, M., 1996, “Modelling and Simulation of Spray Combustion With PDF Methods,” Ph.D. thesis, University of Cambridge, Cambridge, UK.
Rayleigh, L., 1896, The Theory of Sound, Macmillan, London.
Dowling,  A. P., 1995, “The Calculation of Thermoacoustic Oscillations,” J. Sound Vib., 180, No. 4, pp. 557–581.

Figures

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Schematic diagram of the geometry
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Contour plot of the mean temperature distribution at idle conditions. The black line indicates the mean position of the stoichiometric curve.
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Contour plot a typical fuel vapor evaporation rate distribution at idle conditions. The white line indicates an instantaneous stream line originating in the recirculation zone. The arrows denote velocity vectors.
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Contour plot of a typical Favre-averaged mixture fraction at idle conditions. The white line indicates an instantaneous stream line originating in the recirculation zone. The arrows denote velocity vectors.
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Case 1: Sinusoidal changes of the fuel mass flow rate in the atomizer lead to the oscillations in the mixture fraction and heat release rate at points A and B
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Instantaneous contour plots of fuel vapor evaporation rate distribution in the air forcing calculations, at the time of maximum inlet air stagnation pressure. The streamline from Figs. 3 and 4 is overlaid in red to indicate the recirculation zone.
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Instantaneous contour plots of fuel vapor evaporation rate distribution in the air forcing calculations, at the time of minimum inlet air stagnation pressure. The streamline from Figs. 3 and 4 is overlaid in red to indicate the recirculation zone.
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Case 2: Sinusoidal changes of the total pressure in the air inlets lead to the oscillations in the mixture fraction and heat release rate at points A and B
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Case 3: Sinusoidal changes of the fuel mass flow rate in the atomizer lead to the oscillations in the mixture fraction and heat release rate at points A and B
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Case 3: Sinusoidal changes of the total pressure in the air inlets lead to the oscillations in the mixture fraction and heat release rate at points A and B
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Case 4: Sinusoidal changes of the fuel mass flow rate in the atomizer lead to the oscillations in the mixture fraction and heat release rate at points A and B
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Case 4: Sinusoidal changes of the total pressure in the air inlets lead to the oscillations in the mixture fraction and heat release rate at points A and B
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The variation of the area-averaged rate of heat release/unit length due to the sinusoidal changes of the fuel mass flow rate in the atomizer, which are shown as dash line in (a). The solid line indicates the variation of Sauter mean diameter (SMD) according to Eq. (2).
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The variation of the area-averaged rate of heat release/unit length due to the sinusoidal changes of the total pressure in the air inlets, which are shown as dash line in (a). The solid line indicate the variation of Sauter mean diameter (SMD) according to Eq. (2).
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The transfer function between the heat release rate per unit length and the sinusoidal changes of the fuel mass flow rate
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The transfer function between the heat release rate per unit length and the sinusoidal changes of the total pressure in the air inlets

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