Biography

I have been a Lecturer in Applied Mathematics at Keele since 1992, and Senior Lecturer since 2001. With my background in Physics (Masters) and Engineering (PhD), I am keen to apply mathematics to real-world problems. My research interest is in mathematical modelling of acoustic phenomena and applies primarily to noise control and non-destructive testing. My research projects include:

  • Combustion noise and thermoacoustics (funded by the European Commission)
  • Sound propagation across tube bundles in nuclear reactors (funded by industry and EPSRC)
  • Sound transmission of profiled cladding on industrial buildings
  • Rolling noise from railways (industrially funded)
  • Curve squeal by train wheels (EPSRC funded)

On the teaching front, I have made a number of films on wave-related phenomena, the most recent being a 20 minute DVD on “Dispersion of waves”.

Research and scholarship

My current research project is on noise produced by flames in combustion systems, in particular gas turbines and domestic heaters. This is a topic of great practical importance because the development of low-pollution combustion systems is hampered by a phenomenon called “thermo-acoustic instability”. Such an instability is caused by a feedback between the acoustic field in the combustor and the heat release from the flame, and it leads to oscillations of increasing amplitude (see figure below), which can become so extreme that they cause severe structural damage.

Recently, I have secured two major research grants (acronyms: TANGO and LIMOUSINE) on this topic from the European Commission.

TANGO

Name: Thermo-acoustic and Aero-acoustic Nonlinearities in Green combustors with Orifice Structures
Dates: 1 November 2012 – 31 October 2016
Budget: €3.73 Million
Who is involved: Network of 9 partners, supervising 14 PhD students and 1 post-doc
Web address: http://www.scm.keele.ac.uk/Tango/

LIMOUSINE

Name: LIMit cycles of thermo-acOUStic oscillations in gas turbINE combustors
Dates: 1 October 2008 – 30 September 2012
Budget: €4.15 Million
Who is involved: Network of 13 partners, supervising 17 PhD students and 3 post-docs
Web address: http://www.utwente.nl/limousine/

As the coordinator, I play an important role in TANGO; also I am the supervisor of two PhD students and one post-doc. In the LIMOUSINE project, I acted as deputy coordinator and supervised two PhD students and one post-doc.

Acoustic

Time history of the acoustic pressure of a thermo-acoustic instability, ending in a limit cycle

Personal selection

  • Heckl, Maria A. (2002) Coupled waves on a periodically supported Timoshenko beam, Journal of Sound and Vibration, 252(5), pp. 849-882.
  • Heckl, Maria A. (2002) Curve squeal of train wheels: Unstable modes and limit cycles, Proceedings of the Royal Society, Series A, 458, pp. 1949-1965.
  • Heckl, Maria A. and Howe, M.S. (2007) The Rijke tube: Green’s function approach in the time and frequency domain, in: Proceedings of the 14th International Congress on Sound and Vibration, 9-12 July 2007, Cairns, Australia, 8pp.
  • Heckl, Maria A. and Howe, M.S. (2007) Stability analysis of the Rijke tube with a Green’s function approach, Journal of Sound and Vibration, 305, pp. 672-688. DOI: http://dx.doi.org/10.1016/j.jsv.2007.04.027
  • HECKL, Maria A. (2010) "The Rijke tube: Green’s function approach in the frequency domain", Acta Acustica united with Acustica, 96(4), pp. 743-752.
  • Heckl, Maria A. (2013, in press) "Analytical model of nonlinear thermo-acoustic effects in a matrix burner", to appear in Journal of Sound and Vibration.

Selected Publications

  • Heckl MA. 2010. The Rijke Tube: A Green's Function Approach in the Frequency Domain. ACTA ACUSTICA UNITED WITH ACUSTICA, vol. 96(4), 743-752. link> doi>
  • Heckl M. 2018. Advances by the Marie Curie project TANGO in thermoacoustics and aeroacoustics. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 263. link> doi> full text>
  • Surendran A, Heckl MA, Hosseini N, Teerling OJ. 2018. Passive control of instabilities in combustion systems with heat exchanger. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 362-379. link> doi> full text>
  • Surendran A, Heckl MA, Hosseini N, Teerling OJ. 2018. Passive control of instabilities in combustion systems with heat exchanger (vol 10, pg 362, 2018). INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 393-398. link> doi>
  • Surendran A, Heckl MA, Peerlings L, Boij S, Boden H, Hirschberg A. 2018. Aeroacoustic response of an array of tubes with and without bias-flow. JOURNAL OF SOUND AND VIBRATION, vol. 434, 1-16. link> doi>

Full Publications List show

Journal Articles

  • Heckl M. 2018. Advances by the Marie Curie project TANGO in thermoacoustics and aeroacoustics. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 263. link> doi> full text>
  • Surendran A, Heckl MA, Hosseini N, Teerling OJ. 2018. Passive control of instabilities in combustion systems with heat exchanger. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 362-379. link> doi> full text>
  • Surendran A, Heckl MA, Hosseini N, Teerling OJ. 2018. Passive control of instabilities in combustion systems with heat exchanger (vol 10, pg 362, 2018). INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 393-398. link> doi>
  • Surendran A, Heckl MA, Peerlings L, Boij S, Boden H, Hirschberg A. 2018. Aeroacoustic response of an array of tubes with and without bias-flow. JOURNAL OF SOUND AND VIBRATION, vol. 434, 1-16. link> doi>
  • Gopinathan SM, Iurashev D, Bigongiari A, Heckl M. 2018. Nonlinear analytical flame models with amplitude-dependent time-lag distributions. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 10(4), 264-276. link> doi> full text>
  • Surendran A and Heckl MA. 2017. Passive instability control by a heat exchanger in a combustor with nonuniform temperature. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 9(4), 380-393. link> doi> full text>
  • Bigongiari A and Heckl MA. 2016. A Green's function approach to the rapid prediction of thermoacoustic instabilities in combustors. JOURNAL OF FLUID MECHANICS, vol. 798, 970-996. link> doi> full text>
  • Heckl M. 2015. A new perspective on the flame describing function of a matrix flame. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 7(2), 91-112. link> doi> full text>
  • Heckl M and Kosztin B. 2013. Analysis and control of an unstable mode in a combustor with tuneable end condition. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 5(3), 243-271. link> doi>
  • Heckl MA. 2013. Analytical model of nonlinear thermo-acoustic effects in a matrix burner. JOURNAL OF SOUND AND VIBRATION, vol. 332(17), 4021-4036. link> doi>
  • Kosztin B, Heckl M, Mueller R, Hermann J. 2013. Thermo-acoustic properties of a burner with axial temperature gradient: Theory and experiment. INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS, vol. 5(1), 67-84. link> doi>
  • Heckl MA. 2010. The Rijke Tube: A Green's Function Approach in the Frequency Domain. ACTA ACUSTICA UNITED WITH ACUSTICA, vol. 96(4), 743-752. link> doi>
  • HECKL MA and Howe MS. 2007. Stability analysis of the Rijke tube with a Green's function approach. Journal of Sound and Vibration , vol. 305(4-5), 672-688. doi>
  • HECKL MA. 2002. Curve squeal of train wheels: Unstable modes and limit cycles. Proceedings of the Royal Society, Series A, vol. 458, 1949-1965. doi>
  • HECKL MA. 2002. Coupled waves on a periodically supported Timoshenko beam. Journal of Sound and Vibration, vol. 252(5), 849-882. doi>
  • HECKL MA. 2001. Acoustic properties of profiled cladding of buildings. Acustica united with Acta Acustica, vol. 87, 560-581. link>
  • Heckl MA and Abrahams ID. 2000. Curve squeal of train wheels, Part 1: Mathematical model for its generation. JOURNAL OF SOUND AND VIBRATION, vol. 229(3), 669-693. link> doi>
  • Heckl MA. 2000. Curve squeal of train wheels, Part 2: Which wheel modes are prone to squeal?. JOURNAL OF SOUND AND VIBRATION, vol. 229(3), 695-707. link> doi>
  • Heckl MA and Huang XY. 2000. Curve squeal of train wheels, Part 3: Active control. JOURNAL OF SOUND AND VIBRATION, vol. 229(3), 709-735. link> doi>
  • Heckl MA. 1995. Railway noise - Can random sleeper spacings help?. ACUSTICA, vol. 81(6), 559-564. link>
  • HECKL MA and MULHOLLAND LS. 1995. SOME RECENT DEVELOPMENTS IN THE THEORY OF ACOUSTIC TRANSMISSION IN TUBE BUNDLES. JOURNAL OF SOUND AND VIBRATION, vol. 179(1), 37-62. link> doi>
  • MULHOLLAND LS and HECKL MA. 1994. MULTIDIRECTIONAL SOUND-WAVE PROPAGATION THROUGH A TUBE BUNDLE. JOURNAL OF SOUND AND VIBRATION, vol. 176(3), 377-398. link> doi>
  • HECKL MA. 1994. OBLIQUE SOUND-TRANSMISSION THROUGH TUBE BUNDLES AND TUBE GRATINGS. ULTRASONICS, vol. 32(4), 275-286. link> doi>
  • FIRTH D, HECKL MA, MCKNIGHT JA, MULHOLLAND LS, ROWLEY R. 1993. SOUND-PROPAGATION IN A STEAM-GENERATOR - EXPERIMENTAL AND THEORETICAL RESULTS. NUCLEAR ENERGY-JOURNAL OF THE BRITISH NUCLEAR ENERGY SOCIETY, vol. 32(6), 369-378. link>
  • HUANG XY and HECKL MA. 1993. TRANSMISSION AND DISSIPATION OF SOUND-WAVES IN TUBE BUNDLES. ACUSTICA, vol. 78(4), 191-200. link>
  • HECKL MA. 1992. SOUND-PROPAGATION IN BUNDLES OF PERIODICALLY ARRANGED CYLINDRICAL-TUBES. ACUSTICA, vol. 77(3), 143-152. link>
  • HECKL MA. 1990. NONLINEAR ACOUSTIC EFFECTS IN THE RIJKE TUBE. ACUSTICA, vol. 72(1), 63-71. link>
  • HECKL MA. 1988. ACTIVE CONTROL OF THE NOISE FROM A RIJKE TUBE. JOURNAL OF SOUND AND VIBRATION, vol. 124(1), 117-133. link> doi>
  • Heckl MA, Surendran A, Boij S, Boden H, Hirschberg A. FORTHCOMING: Aeroacoustic response of an array of tubes with bias-flow. Journal of Sound and Vibration.
  • Heckl MA, Sreenath MG, Bigongiari A. FORTHCOMING: Flame modelling by transfer function and coupling coefficients featuring time-lag distribution.
  • Heckl MA, Bigongiari A, Campa G, Iurashev D. FORTHCOMING: Study of the stability of a laboratory swirl burner using a Green's function approach in combination with a flame-speed-closure model. Journal of Engineering for Gas Turbines and Power.

Other

  • Surendran A, Heckl MA, Boij S, Boden H, Hirschberg A. 2016. AEROACOUSTIC RESPONSE OF AN ARRAY OF TUBES WITH BIAS-FLOW. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS. link>
  • Mukherjee N, Heckl M, Shrira V. 2016. ANALYSIS OF FLAME-INTRINSIC INSTABILITY IN A RESONATOR. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS. link>
  • Bigongiari A, Heckl M, Iurashev D. 2016. GREEN'S FUNCTION APPROACH TO THE RAPID PREDICTION OF THERMOACOUSTIC INSTABILITIES IN COMBUSTORS. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS. link>
  • Gopinathan SM, Bigongiari A, Heckl MA. 2016. TIME-DOMAIN REPRESENTATION OF A FLAME TRANSFER FUNCTION WITH GENERALISED n tau - LAW FEATURING A TIME-LAG DISTRIBUTION. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS. link>
  • Surendran A, Heckl MA, Hosseini N, Teerling OJ. 2016. USE OF HEAT EXCHANGER FOR PASSIVE CONTROL OF COMBUSTION INSTABILITIES. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS. link>
  • Bigongiari A and Heckl M. 2015. A GREEN'S FUNCTION APPROACH TO THE STUDY OF HYSTERESIS IN A RIJKE TUBE. PROCEEDINGS OF THE 22ND INTERNATIONAL CONGRESS ON SOUND AND VIBRATION. link>
  • Heckl M. 2015. MEASUREMENT OF THE FLAME DESCRIBING FUNCTION IN COMBUSTORS WITHOUT OPTICAL ACCESS. PROCEEDINGS OF THE 22ND INTERNATIONAL CONGRESS ON SOUND AND VIBRATION. link>
  • Surendran A and Heckl MA. 2015. PASSIVE INSTABILITY CONTROL BY USING A HEAT EXCHANGER AS ACOUSTIC SINK. PROCEEDINGS OF THE 22ND INTERNATIONAL CONGRESS ON SOUND AND VIBRATION. link>
  • Murray PR, Heckl MA, Vibrat IIA. 2010. GREEN'S FUNCTION MODEL FOR A RECTANGULAR RIJKE TUBE. PROCEEDINGS OF THE 17TH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION. link>
  • Kosztin B, Heckl M, Mueller R, Hermann J, Vibrat IIA. 2010. INSTABILITIES IN A MODEL GAS TURBINE COMBUSTOR: THEORY AND EXPERIMENT. PROCEEDINGS OF THE 17TH INTERNATIONAL CONGRESS ON SOUND AND VIBRATION. link>
  • Heckl MA. 2002. Curve squeal of train wheels: Unstable modes and limit cycles. Official Publication of the Forum Acusticum Sevilla 2002.
  • Heckl MA and Abrahams ID. 1996. Active control of friction-driven oscillations. JOURNAL OF SOUND AND VIBRATION (vol. 193, pp. 417-426). link> doi>
  • HECKL MA. 1992. WAVE PROPAGATION ALONG PROFILED CLADDING OF BUILDINGS. EURO NOISE '92, PROCEEDINGS, BOOKS 1-3 (vol. 14, pp. 873-882). link>
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