# 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.

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Contributed by: Housam Binousand Brian G. Higgins (December 2013)

Open content licensed under CC BY-NC-SA

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