The Frank-Kamenetskii Problem Using Arc-Length Continuation
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The Frank–Kamenetskii problem relates to the self-heating of a reactive solid. When the heat generated by a reaction is balanced by conduction in a one-dimensional slab of combustible material, the nonlinear boundary value problem (BVP) for
,
, and
admits up to two solutions. Here,
is the dimensionless temperature and
is the heat transfer coefficient.
Contributed by: Housam Binousand Brian G. Higgins (December 2013)
Open content licensed under CC BY-NC-SA
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