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We have analyzed the condition needed for thermal explosion to occur in a solid sample when the temperature of the vessel walls is raised at a constant rate. We have developed a dimensionless model that allows its direct comparison with an isoperibolic system (constant vessel wall temperature). We have obtained an analytical expression for the critical condition as a function of the system parameters...
Knowing the conditions for a system to undergo thermal explosion is of utmost importance for many applications. A critical condition that accounts for reactant consumption and covers most practical situations, including low activation energy reactions is presented. Our solution applies to cylindrical reactors of any radius to height ratio. In the case of films, it is shown that thermal explosion is...
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