The dual reciprocity boundary element method for spontaneous ignition

Abstract

Abstract 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 .