Solutions of the spray flamelet equations in a non-monotonic mixture fraction space
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917123347972096 |
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| author | Huenchuguala, Felipe Fuenzalida, Luis Orellana, Oscar Scholtissek, Arne Hasse, Christian Gutheil, Eva Olguin, Hernan |
| author_facet | Huenchuguala, Felipe Fuenzalida, Luis Orellana, Oscar Scholtissek, Arne Hasse, Christian Gutheil, Eva Olguin, Hernan |
| contents | Solving the spray flamelet equations in composition space is very challenging, which is attributable to the fact that the maximum value of the mixture fraction, $Z_\mathrm{max}$, is a priori unknown in such flames. In this work, an analytical solution for this quantity is proposed, which allows its determination in spray flames subject to imposed quadratic evaporation profiles. It is then illustrated how the proposed approach allows to effectively cover the solution space of the spray flamelet equations. The employed strategy works very well for the considered cases and the generality of the evaporation profile definition provides flexibility for explorations of other parametric choices in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00146 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solutions of the spray flamelet equations in a non-monotonic mixture fraction space Huenchuguala, Felipe Fuenzalida, Luis Orellana, Oscar Scholtissek, Arne Hasse, Christian Gutheil, Eva Olguin, Hernan Fluid Dynamics Solving the spray flamelet equations in composition space is very challenging, which is attributable to the fact that the maximum value of the mixture fraction, $Z_\mathrm{max}$, is a priori unknown in such flames. In this work, an analytical solution for this quantity is proposed, which allows its determination in spray flames subject to imposed quadratic evaporation profiles. It is then illustrated how the proposed approach allows to effectively cover the solution space of the spray flamelet equations. The employed strategy works very well for the considered cases and the generality of the evaporation profile definition provides flexibility for explorations of other parametric choices in the future. |
| title | Solutions of the spray flamelet equations in a non-monotonic mixture fraction space |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2508.00146 |