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research-article

Analytical and Experimental Study on Passive Stabilization of Thermoacoustic Dynamics in a Rijke Tube

[+] Author and Article Information
Umut Zalluhoglu

University of Connecticut, Department of Mechanical Engineering, Storrs, CT 06269-3139, USA
umut.zalluhoglu@uconn.edu

Nejat Olgac

University of Connecticut, Department of Mechanical Engineering, Storrs, CT 06269-3139, USA
olgac@engr.uconn.edu

1Corresponding author.

ASME doi:10.1115/1.4037388 History: Received February 19, 2017; Revised July 19, 2017

Abstract

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 non-conservatively 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 is investigated under strong thermoacoustic coupling.

Copyright (c) 2017 by ASME
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