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Analysis of Thermoacoustic Instability: A Time-Delay System Approach

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Time Delay Systems

Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 7))

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Abstract

This study is on the analysis of thermoacoustic instability on a Rijke tube. This phenomenon results from a coupling between the heat release rate fluctuations and acoustic pressure. The simplified dynamics is modeled as a linear time-invariant multiple time-delayed system of neutral type. The conditions leading to unstable operation are identified using the Cluster Treatment of Characteristic Roots (CTCR) paradigm. This method assesses the stability of time-delay systems exhaustively and non-conservatively in the space of system parameters. Several experimental tests are conducted on a laboratory scale Rijke tube setup, and their results are used to verify the analytical findings.

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Acknowledgements

The authors would like to express their appreciation to the National Science Foundation grant CMMI-1462301 and UCONN (University of Connecticut) research excellence program for financial support.

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Authors and Affiliations

  1. University of Connecticut, 191 Auditorium Rd., Storrs, CT, 06269-3139, USA

    Umut Zalluhoglu & Nejat Olgac

Authors
  1. Umut Zalluhoglu
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  2. Nejat Olgac
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Correspondence to Nejat Olgac .

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Editors and Affiliations

  1. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Tamás Insperger

  2. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Tulga Ersal

  3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Gábor Orosz

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Zalluhoglu, U., Olgac, N. (2017). Analysis of Thermoacoustic Instability: A Time-Delay System Approach. In: Insperger, T., Ersal, T., Orosz, G. (eds) Time Delay Systems. Advances in Delays and Dynamics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-53426-8_23

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  • DOI: https://doi.org/10.1007/978-3-319-53426-8_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53425-1

  • Online ISBN: 978-3-319-53426-8

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