A generalized spray-flamelet formulation by means of a monotonic variable
| Autor: | Josue Melguizo-Gavilanes, Daniela de Oliveira Maionchi, Fabio Pereira dos Santos, M. A. Endo Kokubun |
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| Přispěvatelé: | Universidade Federal de Mato Grosso (UFMT), Univesidad Federal do RIo de Janeiro, Institut Pprime (PPRIME), ENSMA-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers, Centre National de la Recherche Scientifique (CNRS), Expert Analytics, Universidade Federal Rural de Pernambuco (UFRPE), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
010304 chemical physics
Physics::Instrumentation and Detectors General Chemical Engineering [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment Mathematical analysis Structure (category theory) General Physics and Astronomy Energy Engineering and Power Technology Monotonic function General Chemistry Function (mathematics) 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Fuel Technology Modeling and Simulation 0103 physical sciences Physical space ComputingMilieux_MISCELLANEOUS Mathematics Variable (mathematics) |
| Zdroj: | Combustion Theory and Modelling Combustion Theory and Modelling, Taylor & Francis, 2020, 25 (2), pp.293-314. ⟨10.1080/13647830.2020.1866215⟩ Combustion Theory and Modelling, Taylor & Francis, 2021, 25 (2), pp.293-314. ⟨10.1080/13647830.2020.1866215⟩ |
| ISSN: | 1364-7830 1741-3559 |
| DOI: | 10.1080/13647830.2020.1866215⟩ |
| Popis: | International audience; The external structure of the spray-flamelet can be described using the Schvab-Zel’dovich-Linan formulation. The gaseous mixture-fraction variable as function of the physical space,Z(xi), typically employed for the description of gaseous diffusion flames leads to non-monotonicity behaviour for spray flames due to the extra fuel supplied by vaporisation of droplets distributed into the flow. As a result, the overall properties of spray flames depend not only on Z and the scalar dissipation rate, χ, but also on the spray source term, Sv. We propose a new general coordinate variable which takes into account the spatial information about the entire mixture fraction due to the gaseous phase and droplet vaporisation. This coordinate variable, ZC(xi) is based on the cumulative value of the gaseous mixture fraction Z(xi), and is shown to be monotonic. For pure gaseous flow, the new cumulative function, ZC, yields the well-established flamelet structure in Z-space. In the present manuscript, the spray-flamelet structure and the new equations for temperature and mass fractions in terms of ZC are derived and then applied to the canonical counter flow configuration with potential flow. Numerical results are obtained for ethanol and methanol sprays, and the effect of Lewis and Stokes numbers on the spray-flamelet structure are analyzed. The proposed formulation agrees well when mapping the structure back to physical space thereby confirming our integration methodology. |
| Databáze: | OpenAIRE |
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