Set-valued solutions for non-ideal detonation
The existence and structure of a steady-state gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equati...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/103812 https://orcid.org/0000-0002-8129-2548 |
| _version_ | 1826203972688412672 |
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| author | Semenko, R. Kasimov, A. R. Ermolaev, B. S. Faria, Luiz |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Semenko, R. Kasimov, A. R. Ermolaev, B. S. Faria, Luiz |
| author_sort | Semenko, R. |
| collection | MIT |
| description | The existence and structure of a steady-state gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equations is introduced that eliminates the difficulties with numerical integration across the sonic singularity in the reactive Euler equations. With the new algorithm, we find that when the sonic point disappears from the flow, there exists a one-parameter family of solutions parameterized by either pressure or temperature at the end of the reaction zone. These solutions (termed “set-valued” here) correspond to a continuous spectrum of the eigenvalue problem that determines the detonation velocity as a function of a loss factor. |
| first_indexed | 2024-09-23T12:46:49Z |
| format | Article |
| id | mit-1721.1/103812 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:46:49Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1038122022-09-28T09:58:40Z Set-valued solutions for non-ideal detonation Semenko, R. Kasimov, A. R. Ermolaev, B. S. Faria, Luiz Massachusetts Institute of Technology. Department of Mathematics Faria, Luiz The existence and structure of a steady-state gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equations is introduced that eliminates the difficulties with numerical integration across the sonic singularity in the reactive Euler equations. With the new algorithm, we find that when the sonic point disappears from the flow, there exists a one-parameter family of solutions parameterized by either pressure or temperature at the end of the reaction zone. These solutions (termed “set-valued” here) correspond to a continuous spectrum of the eigenvalue problem that determines the detonation velocity as a function of a loss factor. King Abdullah University of Science and Technology 2016-07-29T20:53:41Z 2017-03-01T16:14:49Z 2015-12 2015-09 2016-05-23T12:09:01Z Article http://purl.org/eprint/type/JournalArticle 0938-1287 1432-2153 http://hdl.handle.net/1721.1/103812 Semenko, R., L. M. Faria, A. R. Kasimov, and B. S. Ermolaev. “Set-Valued Solutions for Non-Ideal Detonation.” Shock Waves 26, no. 2 (December 11, 2015): 141–160. https://orcid.org/0000-0002-8129-2548 en http://dx.doi.org/10.1007/s00193-015-0610-3 Shock Waves Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Semenko, R. Kasimov, A. R. Ermolaev, B. S. Faria, Luiz Set-valued solutions for non-ideal detonation |
| title | Set-valued solutions for non-ideal detonation |
| title_full | Set-valued solutions for non-ideal detonation |
| title_fullStr | Set-valued solutions for non-ideal detonation |
| title_full_unstemmed | Set-valued solutions for non-ideal detonation |
| title_short | Set-valued solutions for non-ideal detonation |
| title_sort | set valued solutions for non ideal detonation |
| url | http://hdl.handle.net/1721.1/103812 https://orcid.org/0000-0002-8129-2548 |
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