Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor
In this paper, asymptotic multiple-scale methods are used to formulate a mathematically consistent set of thermo-acoustic equations in the low-Mach number limit for linear stability analysis. The resulting sets of nonlinear equations for hydrodynamics and acoustics are two-way coupled. The coupling...
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| Format: | Article |
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Elsevier
2016
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| Online Access: | https://eprints.nottingham.ac.uk/33751/ |
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| author | Magri, L. See, Y.-C. Tammisola, Outi Ihme, M. Juniper, M.P. |
| author_facet | Magri, L. See, Y.-C. Tammisola, Outi Ihme, M. Juniper, M.P. |
| author_sort | Magri, L. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this paper, asymptotic multiple-scale methods are used to formulate a mathematically consistent set of thermo-acoustic equations in the low-Mach number limit for linear stability analysis. The resulting sets of nonlinear equations for hydrodynamics and acoustics are two-way coupled. The coupling strength depends on which multiple scales are used. The double-time-double-space (2T-2S), double-time-single-space (2T-1S) and single-time-double-space (1T-2S) limits are revisited, derived and linearized. It is shown that only the 1T-2S limit produces a two-way coupled linearized system. Therefore this limit is adopted and implemented in a finite-element solver. The methodology is applied to a coaxial jet combustor. By using an adjoint method and introducing the intrinsic sensitivity, (i) the interaction between the acoustic and hydrodynamic subsystems is calculated and (ii) the role of the global acceleration term, which is the coupling term from the acoustics to the hydrodynamics, is analysed. For the confined coaxial jet diffusion flame studied here, (i) the growth rate of the thermo-acoustic oscillations is found to be more sensitive to small changes in the hydrodynamic field around the flame and (ii) increasing the global acceleration term is found to be stabilizing in agreement with the Rayleigh Criterion. |
| first_indexed | 2025-11-14T19:20:17Z |
| format | Article |
| id | nottingham-33751 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:20:17Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-337512020-05-04T17:56:09Z https://eprints.nottingham.ac.uk/33751/ Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor Magri, L. See, Y.-C. Tammisola, Outi Ihme, M. Juniper, M.P. In this paper, asymptotic multiple-scale methods are used to formulate a mathematically consistent set of thermo-acoustic equations in the low-Mach number limit for linear stability analysis. The resulting sets of nonlinear equations for hydrodynamics and acoustics are two-way coupled. The coupling strength depends on which multiple scales are used. The double-time-double-space (2T-2S), double-time-single-space (2T-1S) and single-time-double-space (1T-2S) limits are revisited, derived and linearized. It is shown that only the 1T-2S limit produces a two-way coupled linearized system. Therefore this limit is adopted and implemented in a finite-element solver. The methodology is applied to a coaxial jet combustor. By using an adjoint method and introducing the intrinsic sensitivity, (i) the interaction between the acoustic and hydrodynamic subsystems is calculated and (ii) the role of the global acceleration term, which is the coupling term from the acoustics to the hydrodynamics, is analysed. For the confined coaxial jet diffusion flame studied here, (i) the growth rate of the thermo-acoustic oscillations is found to be more sensitive to small changes in the hydrodynamic field around the flame and (ii) increasing the global acceleration term is found to be stabilizing in agreement with the Rayleigh Criterion. Elsevier 2016-06-17 Article PeerReviewed Magri, L., See, Y.-C., Tammisola, Outi, Ihme, M. and Juniper, M.P. (2016) Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor. Proceedings of the Combustion Institute . ISSN 1540-7489 Thermo-acoustics; Stability; Adjoint methods; Multiple-scale analysis; Sensitivity analysis http://www.sciencedirect.com/science/article/pii/S1540748916300670 doi:10.1016/j.proci.2016.06.009 doi:10.1016/j.proci.2016.06.009 |
| spellingShingle | Thermo-acoustics; Stability; Adjoint methods; Multiple-scale analysis; Sensitivity analysis Magri, L. See, Y.-C. Tammisola, Outi Ihme, M. Juniper, M.P. Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title | Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title_full | Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title_fullStr | Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title_full_unstemmed | Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title_short | Multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| title_sort | multiple-scale thermo-acoustic stability analysis of a coaxial jet combustor |
| topic | Thermo-acoustics; Stability; Adjoint methods; Multiple-scale analysis; Sensitivity analysis |
| url | https://eprints.nottingham.ac.uk/33751/ https://eprints.nottingham.ac.uk/33751/ https://eprints.nottingham.ac.uk/33751/ |