Exceptional points in the thermoacoustic spectrum
Accepted version
Peer-reviewed
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Abstract
Exceptional points are found in the spectrum of a prototypical thermoacoustic system as the parameters of the flame transfer function are varied. At these points, two eigenvalues and the associated eigenfunctions coalesce. The system's sensitivity to changes in the parameters becomes infinite. Two eigenvalue branches collide at the exceptional point as the interaction index is increased. One branch originates from a purely acoustic mode, whereas the other branch originates from an intrinsic thermoacoustic mode. The existence of exceptional points in thermoacoustic systems has implications for physical understanding, computing, modeling and control.
Description
Keywords
Thermoacoustics, Defective eigenvalue, Eigenvalue sensitivity, Intrinsic thermoacoustic modes
Journal Title
Journal of Sound and Vibration
Conference Name
Journal ISSN
0022-460X
1095-8568
1095-8568
Volume Title
433
Publisher
Elsevier BV
Publisher DOI
Sponsorship
Royal Academy of Engineering (RAEng)