Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence
We seek to ascertain and understand source terms that drive thermoacoustic instability and acoustic radiation. We present a new theory based on the decomposition of the Navier-Stokes equations coupled with the mass fraction equations. A series of solutions are presented via the method of the vector...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/8890360 |
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| _version_ | 1832560224829964288 |
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| author | S. A. E. Miller |
| author_facet | S. A. E. Miller |
| author_sort | S. A. E. Miller |
| collection | DOAJ |
| description | We seek to ascertain and understand source terms that drive thermoacoustic instability and acoustic radiation. We present a new theory based on the decomposition of the Navier-Stokes equations coupled with the mass fraction equations. A series of solutions are presented via the method of the vector Green’s function. We identify both combustion-combustion and combustion-aerodynamic interaction source terms. Both classical combustion noise theory and classical Rayleigh criterion are recovered from the presently developed more general theory. An analytical spectral prediction method is presented, and the two-point source terms are consistent with Lord Rayleigh’s instability model. Particular correlations correspond to the source terms of Lighthill, which represent the noise from turbulence and additional terms for the noise from reacting flow. |
| format | Article |
| id | doaj-art-037ed9ccf8724c4da630d662c72bf2c1 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-037ed9ccf8724c4da630d662c72bf2c12025-02-03T01:28:02ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742020-01-01202010.1155/2020/88903608890360Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting TurbulenceS. A. E. Miller0Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville Florida 32611, USAWe seek to ascertain and understand source terms that drive thermoacoustic instability and acoustic radiation. We present a new theory based on the decomposition of the Navier-Stokes equations coupled with the mass fraction equations. A series of solutions are presented via the method of the vector Green’s function. We identify both combustion-combustion and combustion-aerodynamic interaction source terms. Both classical combustion noise theory and classical Rayleigh criterion are recovered from the presently developed more general theory. An analytical spectral prediction method is presented, and the two-point source terms are consistent with Lord Rayleigh’s instability model. Particular correlations correspond to the source terms of Lighthill, which represent the noise from turbulence and additional terms for the noise from reacting flow.http://dx.doi.org/10.1155/2020/8890360 |
| spellingShingle | S. A. E. Miller Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence International Journal of Aerospace Engineering |
| title | Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence |
| title_full | Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence |
| title_fullStr | Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence |
| title_full_unstemmed | Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence |
| title_short | Analytical Equations for Thermoacoustic Instability Sources and Acoustic Radiation from Reacting Turbulence |
| title_sort | analytical equations for thermoacoustic instability sources and acoustic radiation from reacting turbulence |
| url | http://dx.doi.org/10.1155/2020/8890360 |
| work_keys_str_mv | AT saemiller analyticalequationsforthermoacousticinstabilitysourcesandacousticradiationfromreactingturbulence |