{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"submitter":["Pedergnana T"],"funding":["Swiss National Science Foundation"],"pagination":["20210851"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC8908471"],"repository":["biostudies-literature"],"omics_type":["Unknown"],"volume":["478(2259)"],"pubmed_abstract":["Thermoacoustic instabilities in can-annular combus-tors of stationary gas turbines lead to unstable Bloch modes which appear as rotating acoustic pressure waves along the turbine annulus. The multiscale, multiphysical nature of the full problem makes a detailed analysis challenging. In this work, we derive a low-order, coupled oscillators model of an idealized can-annular combustor. The unimodal projection of the Helmholtz equation for the can acoustics is combined with the Rayleigh conductivity, which describes the aeroacoustic coupling between neighbouring cans. Using a Bloch-wave ansatz, the resulting system is reduced to a single equation for the frequency spectrum. A linear stability analysis is then performed to study the perturbation of the spectrum by the can-to-can interaction. It is observed that the acoustic coupling can suppress or amplify thermoacoustic instabilities, raising the potential for instabilities in nominally stable systems."],"journal":["Proceedings. Mathematical, physical, and engineering sciences"],"pubmed_title":["Coupling-induced instability in a ring of thermoacoustic oscillators."],"pmcid":["PMC8908471"],"funding_grant_id":["184617"],"pubmed_authors":["Pedergnana T","Noiray N"],"additional_accession":[]},"is_claimable":false,"name":"Coupling-induced instability in a ring of thermoacoustic oscillators.","description":"Thermoacoustic instabilities in can-annular combus-tors of stationary gas turbines lead to unstable Bloch modes which appear as rotating acoustic pressure waves along the turbine annulus. The multiscale, multiphysical nature of the full problem makes a detailed analysis challenging. In this work, we derive a low-order, coupled oscillators model of an idealized can-annular combustor. The unimodal projection of the Helmholtz equation for the can acoustics is combined with the Rayleigh conductivity, which describes the aeroacoustic coupling between neighbouring cans. Using a Bloch-wave ansatz, the resulting system is reduced to a single equation for the frequency spectrum. A linear stability analysis is then performed to study the perturbation of the spectrum by the can-to-can interaction. It is observed that the acoustic coupling can suppress or amplify thermoacoustic instabilities, raising the potential for instabilities in nominally stable systems.","dates":{"release":"2022-01-01T00:00:00Z","publication":"2022 Mar","modification":"2025-04-04T08:53:26.105Z","creation":"2025-04-04T08:53:26.105Z"},"accession":"S-EPMC8908471","cross_references":{"pubmed":["35280328"],"doi":["10.1098/rspa.2021.0851"]}}