Effect of domain perturbations on the critical condition for steady - state thermal explosions / W. R. Batson in Industrial & engineering chemistry research, Vol. 50 N° 23 (Décembre 2011)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 50 N° 23 (Décembre 2011) . - pp. 13244-13249 Titre : Effect of domain perturbations on the critical condition for steady - state thermal explosions Type de document : texte imprimé Auteurs : W. R. Batson, Auteur ; L. E. Johns, Auteur ; R. Narayanan, Auteur Année de publication : 2012 Article en page(s) : pp. 13244-13249 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Thermal explosion Steady state Critical conditions Résumé : A region heated by a temperature-dependent source is said to be stable if the heat conducted to the surroundings can balance the heat generated in the region. The critical value of the Frank-Kamenetskii number gives the limit of stability, the point at which a steady temperature field is no longer possible. Assuming that the critical Frank-Kamenetskii number can be obtained for a symmetric region where the problem is one-dimensional, we present a method for determining how it changes as the region is displaced into a less-symmetric region. We find that the displacement can be either stabilizing or destabilizing. The case of exponential heat generation is fairly well-predicted by the case of linear heat generation. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25267480 [article] Effect of domain perturbations on the critical condition for steady - state thermal explosions [texte imprimé] / W. R. Batson, Auteur ; L. E. Johns, Auteur ; R. Narayanan, Auteur . - 2012 . - pp. 13244-13249. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 50 N° 23 (Décembre 2011) . - pp. 13244-13249 Mots-clés : Thermal explosion Steady state Critical conditions Résumé : A region heated by a temperature-dependent source is said to be stable if the heat conducted to the surroundings can balance the heat generated in the region. The critical value of the Frank-Kamenetskii number gives the limit of stability, the point at which a steady temperature field is no longer possible. Assuming that the critical Frank-Kamenetskii number can be obtained for a symmetric region where the problem is one-dimensional, we present a method for determining how it changes as the region is displaced into a less-symmetric region. We find that the displacement can be either stabilizing or destabilizing. The case of exponential heat generation is fairly well-predicted by the case of linear heat generation. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25267480

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