Effect of Domain Perturbations on the Critical Condition for Steady-State Thermal Explosions

Autor:	L. E. Johns, W. Batson, Ranga Narayanan
Rok vydání:	2011
Předmět:	Steady state (electronics) Field (physics) Chemistry General Chemical Engineering Thermodynamics General Chemistry Mechanics Critical value Stability (probability) Industrial and Manufacturing Engineering Exponential function Heat generation Thermal Displacement (fluid)
Zdroj:	Industrial & Engineering Chemistry Research. 50:13244-13249
ISSN:	1520-5045 0888-5885
DOI:	10.1021/ie200458r
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ff2897bed47016dbdf0f095128ca4d73 https://doi.org/10.1021/ie200458r Zobrazit plný text záznamu