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An adjoint Green’s function approach for thermoacoustic instabilities in a duct with mean flow (2024)
Journal Article
Wei, J., Arabi, S., Pralits, J. O., Bottaro, A., & Heckl, M. A. (2024). An adjoint Green’s function approach for thermoacoustic instabilities in a duct with mean flow. Journal of Sound and Vibration, 593, Article 118673. https://doi.org/10.1016/j.jsv.2024.118673

Thermoacoustic instabilities arise from the feedback between an acoustic field and the unsteady heat released in a burner, yielding self-sustained oscillations. A fundamental framework for modeling thermoacoustic instabilities in systems where a mean... Read More about An adjoint Green’s function approach for thermoacoustic instabilities in a duct with mean flow.

Green’s function analysis of nonlinear thermoacoustic effects under the influence of noise in a combustion chamber (2024)
Journal Article
Arabi, S., & Heckl, M. (2025). Green’s function analysis of nonlinear thermoacoustic effects under the influence of noise in a combustion chamber. Journal of Sound and Vibration, 594, Article 118621. https://doi.org/10.1016/j.jsv.2024.118621

This paper presents an analytical study to predict the effect of noise in a thermoacoustic system. The starting point of our analysis is the acoustic analogy equation with two source terms: one represents the fluctuating heat release rate, and the ot... Read More about Green’s function analysis of nonlinear thermoacoustic effects under the influence of noise in a combustion chamber.

A unified framework for acoustic instabilities based on the tailored Green's function (2022)
Journal Article
Heckl. (2022). A unified framework for acoustic instabilities based on the tailored Green's function. Journal of Sound and Vibration, 1-24. https://doi.org/10.1016/j.jsv.2022.117279

This paper presents a unified framework to analyse the role of thermoacoustic and aeroacoustic sources in a one-dimensional acoustic resonator. We introduce two forms of the tailored Green’s function: one that satisfies the boundary conditions of the... Read More about A unified framework for acoustic instabilities based on the tailored Green's function.

3-D thermoacoustic instability analysis based on Green's function approach (2022)
Journal Article
Wang, X., & Heckl, M. (2022). 3-D thermoacoustic instability analysis based on Green's function approach. Journal of Sound and Vibration, 537, 1-28. https://doi.org/10.1016/j.jsv.2022.116816

A fundamental analysis is made of the thermoacoustic instability in a hard-walled box. We model the flame as an acoustically compact source with a heat release characteristic described by a directional nt-law. This has the following features: it give... Read More about 3-D thermoacoustic instability analysis based on Green's function approach.

Analytical approximations for heat release rate laws in the time- and frequency-domains (2020)
Journal Article
Heckl. (2020). Analytical approximations for heat release rate laws in the time- and frequency-domains. International Journal of Spray and Combustion Dynamics, https://doi.org/10.1177/1756827720930491

<jats:p> This paper focusses on the relationship between the heat release rate and the acoustic field, which is a crucial element in modelling thermoacoustic instabilities. The aim of the paper is twofold. The first aim is to develop a transformation... Read More about Analytical approximations for heat release rate laws in the time- and frequency-domains.

Advances by the Marie Curie project TANGO in thermoacoustics (2019)
Journal Article
Heckl. (2019). Advances by the Marie Curie project TANGO in thermoacoustics. International Journal of Spray and Combustion Dynamics, https://doi.org/10.1177/1756827719830950

This paper gives an overview of the research performed by the project TANGO – an Initial Training Network (ITN) with an international consortium of seven academic and five industrial partners. TANGO is the acronym for ‘Thermoacoustic and Aeroacoustic... Read More about Advances by the Marie Curie project TANGO in thermoacoustics.

Nonlinear analytical flame models with amplitude-dependent time-lag distributions (2018)
Journal Article
Heckl. (2018). Nonlinear analytical flame models with amplitude-dependent time-lag distributions. International Journal of Spray and Combustion Dynamics, 264-276. https://doi.org/10.1177/1756827717728056

In the present work, we formulate a new method to represent a given Flame Describing Function by analytical expressions. The underlying idea is motivated by the observation that different types of perturbations in a burner travel with different speed... Read More about Nonlinear analytical flame models with amplitude-dependent time-lag distributions.

Passive control of instabilities in combustion systems with heat exchanger (2018)
Journal Article
Surendran, A., Heckl, M. A., Hosseini, N., & Jan Teerling, O. (2018). Passive control of instabilities in combustion systems with heat exchanger. International Journal of Spray and Combustion Dynamics, 10(4), 362 -379. https://doi.org/10.1177/1756827717731486

One of the major concerns in the operability of power generation systems is their susceptibility to combustion instabilities. In this work, we explore whether a heat exchanger, an integral component of a domestic boiler, can be made to act as a passi... Read More about Passive control of instabilities in combustion systems with heat exchanger.

Aeroacoustic response of an array of tubes with and without bias-flow (2018)
Journal Article
Surendran, A., Heckl, M. A., Peerlings, L., Boij, S., Bodén, H., & Hirschberg, A. (2018). Aeroacoustic response of an array of tubes with and without bias-flow. Journal of Sound and Vibration, 454, 1 -16. https://doi.org/10.1016/j.jsv.2018.07.022

Heat exchangers, consisting of tube arrays in a cross-flow are a vital component of power generation systems. They are of interest from an acoustic point of view, because they can reflect, transmit and absorb an incident sound wave; in other words, t... Read More about Aeroacoustic response of an array of tubes with and without bias-flow.

Passive instability control by a heat exchanger in a combustor with non-uniform temperature (2017)
Journal Article
Heckl. (2017). Passive instability control by a heat exchanger in a combustor with non-uniform temperature. International Journal of Spray and Combustion Dynamics, 380-393. https://doi.org/10.1177/1756827717695282

Thermoacoustic instabilities, caused by the feedback between unsteady heat release and acoustic pressure perturbations, are characterised by large-amplitude pressure oscillations. These oscillations, if uncontrolled, pose a threat to the integrity of... Read More about Passive instability control by a heat exchanger in a combustor with non-uniform temperature.

A Green's function approach to predict nonlinear thermoacoustic instabilities in combustors (2016)
Journal Article
Bigongiari, A., & Heckl, M. A. (2016). A Green's function approach to predict nonlinear thermoacoustic instabilities in combustors. Journal of Fluid Mechanics, 970 - 996. https://doi.org/10.1017/jfm.2016.332

The prediction of thermoacoustic instabilities is fundamental for combustion systems such as domestic burners and industrial gas turbine engines. High-amplitude pressure oscillations cause thermal and mechanical stress to the equipment, leading to pr... Read More about A Green's function approach to predict nonlinear thermoacoustic instabilities in combustors.

A new perspective on the flame describing function of a matrix flame (2015)
Journal Article
Heckl. (2015). A new perspective on the flame describing function of a matrix flame. International Journal of Spray and Combustion Dynamics, 91 - 112. https://doi.org/10.1260/1756-8277.7.2.91

This paper considers a fundamental thermoacoustic test rig developed by Noiray (“Linear and nonlinear analysis of combustion instabilities, application to multipoint injection systems and control strategies”, PhD thesis, École Centrale Paris, 2007) a... Read More about A new perspective on the flame describing function of a matrix flame.

Analysis and Control of an Unstable Mode in a Combustor with Tuneable End Condition (2013)
Journal Article
Heckl, M., & Kosztin, B. (2013). Analysis and Control of an Unstable Mode in a Combustor with Tuneable End Condition. International Journal of Spray and Combustion Dynamics, 5(3), 243-271. https://doi.org/10.1260/1756-8277.5.3.243

A major problem in the development of low-pollution combustion systems are thermo-acoustic instabilities, i.e. large-amplitude oscillations generated by a feedback between the unsteady heat release and acoustic waves. In order to develop robust contr... Read More about Analysis and Control of an Unstable Mode in a Combustor with Tuneable End Condition.

Analytical model of nonlinear thermo-acoustic effects in a matrix burner (2013)
Journal Article
Heckl, M. A. (2013). Analytical model of nonlinear thermo-acoustic effects in a matrix burner. Journal of Sound and Vibration, 332(17), 4021-4036. https://doi.org/10.1016/j.jsv.2012.11.010

This paper considers a fundamental thermo-acoustic test rig developed by Noiray (Linear and Nonlinear Analysis of Combustion Instabilities, Application to Multipoint Injection Systems and Control Strategies”, Ph.D. Thesis, École Centrale Paris, 2007)... Read More about Analytical model of nonlinear thermo-acoustic effects in a matrix burner.

Thermo-Acoustic Properties of a Burner with Axial Temperature Gradient: Theory and Experiment (2013)
Journal Article
Kosztin, B., Heckl, M., Müller, R., & Hermann, J. (2013). Thermo-Acoustic Properties of a Burner with Axial Temperature Gradient: Theory and Experiment. International Journal of Spray and Combustion Dynamics, 5(1), 67-84. https://doi.org/10.1260/1756-8315.5.1.67

This paper presents a model for thermo-acoustic effects in a gas turbine combustor. A quarter-wavelength burner with rectangular cross-section has been built and studied from an experimental and theoretical perspective. It has a premixed methane-air... Read More about Thermo-Acoustic Properties of a Burner with Axial Temperature Gradient: Theory and Experiment.