An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime
This work is one of the analytical approaches to evaluate the evaporation frequency response of injected droplets, using the Heidmann analogy of a single droplet that is continuously fed with the same liquid fuel. Based on a linear analysis using the Rayleigh criterion, a dimensionless response fact...
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Académie des sciences
2023-02-01
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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.146/ |
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| author | Anani, Kwassi Prud’homme, Roger Hounkonnou, Mahouton N. |
| author_facet | Anani, Kwassi Prud’homme, Roger Hounkonnou, Mahouton N. |
| author_sort | Anani, Kwassi |
| collection | DOAJ |
| description | This work is one of the analytical approaches to evaluate the evaporation frequency response of injected droplets, using the Heidmann analogy of a single droplet that is continuously fed with the same liquid fuel. Based on a linear analysis using the Rayleigh criterion, a dimensionless response factor is determined. The effects due to the variation of the heat transfer coefficient of the feeding process, as well as those due to the characteristic evaporation times and phase delay are analyzed. An abrupt increase of the response factor occurs, when a thermodynamic coefficient of the injected fuel takes certain specific values. |
| format | Article |
| id | doaj-art-4e1da0f460f24c1999ae13305ffc6e0c |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-4e1da0f460f24c1999ae13305ffc6e0c2025-02-07T13:47:30ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-02-01351S2779510.5802/crmeca.14610.5802/crmeca.146An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regimeAnani, Kwassi0Prud’homme, Roger1 Hounkonnou, Mahouton N.2Laboratory of Mathematical Modelling and Applications, Department of Mathematics, University of Lomé, 02 BP 1515 Lomé, TogoJean Le Rond d’Alembert Institute, UMR 7190 CNRS, Sorbonne University, 4 place Jussieu, 75252 Paris Cedex 05University of Abomey-Calavi, International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair) 072 B.P. 050 Cotonou, Republic of BeninThis work is one of the analytical approaches to evaluate the evaporation frequency response of injected droplets, using the Heidmann analogy of a single droplet that is continuously fed with the same liquid fuel. Based on a linear analysis using the Rayleigh criterion, a dimensionless response factor is determined. The effects due to the variation of the heat transfer coefficient of the feeding process, as well as those due to the characteristic evaporation times and phase delay are analyzed. An abrupt increase of the response factor occurs, when a thermodynamic coefficient of the injected fuel takes certain specific values.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.146/Combustion instabilityInjection regimeEvaporationDouble confluent Heun equationTransfer function |
| spellingShingle | Anani, Kwassi Prud’homme, Roger Hounkonnou, Mahouton N. An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime Comptes Rendus. Mécanique Combustion instability Injection regime Evaporation Double confluent Heun equation Transfer function |
| title | An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| title_full | An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| title_fullStr | An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| title_full_unstemmed | An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| title_short | An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| title_sort | approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime |
| topic | Combustion instability Injection regime Evaporation Double confluent Heun equation Transfer function |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.146/ |
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