Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames
This Note is devoted to the justification of an asymptotic model for quasisteady three-dimensional spherical flames proposed by G. Joulin [7]. The paper [7] derives, by means of a three-scale matched asymptotic expansion, starting from the classical thermo-diffusive model with high activation energi...
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todo:paper_1631073X_v334_n7_p569_Lederman2023-10-03T16:28:34Z Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames Lederman, C. Roquejoffre, J.-M. Wolanski, N. This Note is devoted to the justification of an asymptotic model for quasisteady three-dimensional spherical flames proposed by G. Joulin [7]. The paper [7] derives, by means of a three-scale matched asymptotic expansion, starting from the classical thermo-diffusive model with high activation energies, an integro-differential equation for the flame radius. In the derivation, it is essential for the Lewis number - i.e., the ratio between thermal and molecular diffusion - to be strictly less than unity. In this Note, we give the main ideas of a rigorous proof of the validity of this model, under the additional restriction that the Lewis number is close to 1. © 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1631073X_v334_n7_p569_Lederman |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
This Note is devoted to the justification of an asymptotic model for quasisteady three-dimensional spherical flames proposed by G. Joulin [7]. The paper [7] derives, by means of a three-scale matched asymptotic expansion, starting from the classical thermo-diffusive model with high activation energies, an integro-differential equation for the flame radius. In the derivation, it is essential for the Lewis number - i.e., the ratio between thermal and molecular diffusion - to be strictly less than unity. In this Note, we give the main ideas of a rigorous proof of the validity of this model, under the additional restriction that the Lewis number is close to 1. © 2002 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. |
| format |
JOUR |
| author |
Lederman, C. Roquejoffre, J.-M. Wolanski, N. |
| spellingShingle |
Lederman, C. Roquejoffre, J.-M. Wolanski, N. Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| author_facet |
Lederman, C. Roquejoffre, J.-M. Wolanski, N. |
| author_sort |
Lederman, C. |
| title |
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| title_short |
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| title_full |
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| title_fullStr |
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| title_full_unstemmed |
Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| title_sort |
mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames |
| url |
http://hdl.handle.net/20.500.12110/paper_1631073X_v334_n7_p569_Lederman |
| work_keys_str_mv |
AT ledermanc mathematicaljustificationofanonlinearintegrodifferentialequationforthepropagationofsphericalflames AT roquejoffrejm mathematicaljustificationofanonlinearintegrodifferentialequationforthepropagationofsphericalflames AT wolanskin mathematicaljustificationofanonlinearintegrodifferentialequationforthepropagationofsphericalflames |
| _version_ |
1807323254971432960 |