On the closure of curvature in 2D flamelet theory
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916382659051520 |
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| author | Olguin, Hernan Domingo, Pascale Vervisch, Luc Hasse, Christian Scholtissek, Arne |
| author_facet | Olguin, Hernan Domingo, Pascale Vervisch, Luc Hasse, Christian Scholtissek, Arne |
| contents | So far, flamelet theory has treated curvature as an independent parameter requiring specific means for closure. In this work, it is shown how the adoption of a two-dimensional orthogonal composition space allows obtaining formal mathematical relations between the flame curvatures and the gradients of the conditioning scalars (also called flamelet coordinates). With these, both curvatures become a flame response to the underlying flow, which conveniently allows removing them from the corresponding set of flamelet equations. While the demonstration is performed in the context of partially premixed flames, the approach is general and applicable to any orthogonal coordinate system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19617 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the closure of curvature in 2D flamelet theory Olguin, Hernan Domingo, Pascale Vervisch, Luc Hasse, Christian Scholtissek, Arne Fluid Dynamics So far, flamelet theory has treated curvature as an independent parameter requiring specific means for closure. In this work, it is shown how the adoption of a two-dimensional orthogonal composition space allows obtaining formal mathematical relations between the flame curvatures and the gradients of the conditioning scalars (also called flamelet coordinates). With these, both curvatures become a flame response to the underlying flow, which conveniently allows removing them from the corresponding set of flamelet equations. While the demonstration is performed in the context of partially premixed flames, the approach is general and applicable to any orthogonal coordinate system. |
| title | On the closure of curvature in 2D flamelet theory |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2405.19617 |