This paper deals with passive stabilization of thermoacoustic dynamics in a Rijke tube using a Helmholtz resonator. Thermoacoustic instabilities result from the dynamic coupling between the heat release and pressure in a chamber. Helmholtz resonators are used akin to vibration absorbers to suppress unwanted pressure oscillations in such structures and prevent instabilities. The first contribution of the paper is a state-space representation of the thermoacoustic dynamics for the resonator-mounted Rijke tube. This relationship happens to be in the class of linear time invariant, neutral multiple time delay systems (LTI-NMTDS). Then, benefiting from the cluster treatment of characteristic roots (CTCR) paradigm, we investigate the effect of resonator location on suppression of thermoacoustic instability. CTCR is a mathematical tool that determines the stability of LTI-NMTDS exhaustively and nonconservatively in the parameter space of the system. This capability provides a novel tool for the futuristic design concepts of combustors. These analytically obtained findings are also supported with experimental results from a laboratory-scale Rijke tube. In addition, a conceptual case study is presented where the stabilizing contributions of the resonator to the dynamics are investigated under strong thermoacoustic coupling.
Analytical and Experimental Study on Passive Stabilization of Thermoacoustic Dynamics in a Rijke Tube
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received February 19, 2017; final manuscript received July 19, 2017; published online September 20, 2017. Assoc. Editor: Ming Xin.
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Zalluhoglu, U., and Olgac, N. (September 20, 2017). "Analytical and Experimental Study on Passive Stabilization of Thermoacoustic Dynamics in a Rijke Tube." ASME. J. Dyn. Sys., Meas., Control. February 2018; 140(2): 021007. https://doi.org/10.1115/1.4037388
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