[Un modèle analytique approximatif pour la réponse en fréquence des gouttelettes d’évaporation sous un régime d’alimentation mixte]
Ce travail est l’une des approches analytiques pour évaluer la réponse en fréquence d’évaporation des gouttelettes injectées, en utilisant l’analogie de Heidmann i.e. d’une seule gouttelette alimentée en continu avec le même carburant liquide. Sur la base d’une analyse linéaire utilisant le critère de Rayleigh, un facteur de réponse sans dimension est déterminé. Les effets dus à la variation du coefficient de transfert de chaleur du processus d’alimentation, ainsi que ceux dus aux temps caractéristiques d’évaporation et au retard de phase sont analysés. Une augmentation brutale du facteur de réponse se produit, lorsqu’un coefficient thermodynamique du carburant injecté prend certaines valeurs spécifiques.
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.
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Mot clés : instabilité de combustion, régime d’injection, évaporation, équation de Heun à double confluence, fonction de transfert
Kwassi Anani 1 ; Roger Prud’homme 2 ; Mahouton N. Hounkonnou 3
@article{CRMECA_2023__351_S2_77_0, author = {Kwassi Anani and Roger Prud{\textquoteright}homme and Mahouton N. Hounkonnou}, title = {An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime}, journal = {Comptes Rendus. M\'ecanique}, pages = {77--95}, publisher = {Acad\'emie des sciences, Paris}, volume = {351}, number = {S2}, year = {2023}, doi = {10.5802/crmeca.146}, language = {en}, }
TY - JOUR AU - Kwassi Anani AU - Roger Prud’homme AU - Mahouton N. Hounkonnou TI - An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime JO - Comptes Rendus. Mécanique PY - 2023 SP - 77 EP - 95 VL - 351 IS - S2 PB - Académie des sciences, Paris DO - 10.5802/crmeca.146 LA - en ID - CRMECA_2023__351_S2_77_0 ER -
%0 Journal Article %A Kwassi Anani %A Roger Prud’homme %A Mahouton N. Hounkonnou %T An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime %J Comptes Rendus. Mécanique %D 2023 %P 77-95 %V 351 %N S2 %I Académie des sciences, Paris %R 10.5802/crmeca.146 %G en %F CRMECA_2023__351_S2_77_0
Kwassi Anani; Roger Prud’homme; Mahouton N. Hounkonnou. An approximate analytical model for the frequency response of evaporating droplets under a mixed feeding regime. Comptes Rendus. Mécanique, Volume 351 (2023) no. S2, pp. 77-95. doi : 10.5802/crmeca.146. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.146/
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