Based on a conduction equation with an intrinsic reaction rate term, a methodology has been developed to systematically study the factors affecting the forced ignition of a long pellet compressed out of a mixture of titanium and carbon reactant powders. This methodology enables identification of the parameters that determine whether or not ignition would occur under a given set of conditions and the time to ignition if it occurs. The ignition process is accountable through four nondimensional parameters: the intensity of ignition source, the Damkohler number, a reaction energy parameter and the Arrhenius number. Sample calculations show that the methodology is physically reasonable.
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