Effect of domain perturbations on the critical condition for steady-state thermal explosions

W. R. Batson, L. E. Johns, R. Narayanan

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)13244-13249
Number of pages6
JournalIndustrial and Engineering Chemistry Research
Volume50
Issue number23
DOIs
StatePublished - Dec 7 2011

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

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