This paper studies the non‐linear heat conduction problem of spontaneous ignition of a reactive solid by using the dual reciprocity formulation of the boundary element method. First, critical values of the Frank‐Kamenetskii parameter δ are computed for some common geometrical shapes. Then, transient analyses are carried out for values of δ below and above δ c , producing the expected behaviour, with ignition occurring for δ > δ c .
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Partridge et al. (1990) studied this question.
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