Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes
The deflagration-to-detonation transition (DDT) on the tip of an elongated flame in a tube is analyzed in the double limit of large activation energy and small Mach number of laminar flames. A spontaneous transition of a self-accelerated laminar flame taking the form of a dynamical saddle-node bifur...
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.232/ |
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| author | Clavin, Paul |
| author_facet | Clavin, Paul |
| author_sort | Clavin, Paul |
| collection | DOAJ |
| description | The deflagration-to-detonation transition (DDT) on the tip of an elongated flame in a tube is analyzed in the double limit of large activation energy and small Mach number of laminar flames. A spontaneous transition of a self-accelerated laminar flame taking the form of a dynamical saddle-node bifurcation of the flow inside the inner structure of the laminar flame is exhibited by the asymptotic analysis. The predicted critical conditions for the finite-time pressure runaway are in good agreement with the experimental data of the DDT onset in tubes. |
| format | Article |
| id | doaj-art-eb515e6f11d24f4c8b3619b960961c4c |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-eb515e6f11d24f4c8b3619b960961c4c2025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-12-01351G240142710.5802/crmeca.23210.5802/crmeca.232Intrinsic transition mechanism to detonation of gaseous laminar flames in tubesClavin, Paul0https://orcid.org/0000-0001-9614-3425Aix Marseille Université, CNRS, Centrale Marseille, IRPHE, UMR7342, 49 rue Joliot Curie, BP 146, 13384 Marseille Cedex 13, FranceThe deflagration-to-detonation transition (DDT) on the tip of an elongated flame in a tube is analyzed in the double limit of large activation energy and small Mach number of laminar flames. A spontaneous transition of a self-accelerated laminar flame taking the form of a dynamical saddle-node bifurcation of the flow inside the inner structure of the laminar flame is exhibited by the asymptotic analysis. The predicted critical conditions for the finite-time pressure runaway are in good agreement with the experimental data of the DDT onset in tubes.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.232/Deflagration-to-detonation transitionAsymptotic analysisFinite time singularityDynamical saddle-node bifurcation |
| spellingShingle | Clavin, Paul Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes Comptes Rendus. Mécanique Deflagration-to-detonation transition Asymptotic analysis Finite time singularity Dynamical saddle-node bifurcation |
| title | Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| title_full | Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| title_fullStr | Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| title_full_unstemmed | Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| title_short | Intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| title_sort | intrinsic transition mechanism to detonation of gaseous laminar flames in tubes |
| topic | Deflagration-to-detonation transition Asymptotic analysis Finite time singularity Dynamical saddle-node bifurcation |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.232/ |
| work_keys_str_mv | AT clavinpaul intrinsictransitionmechanismtodetonationofgaseouslaminarflamesintubes |