A. Linan et Fa. Williams, AUTOIGNITION OF NONUNIFORM MIXTURES IN CHAMBERS OF VARIABLE VOLUME, Combustion science and technology, 105(4-6), 1995, pp. 245-263
Autoignition histories are considered under conditions such that the c
ompression and heat release occur sufficiently rapidly that molecular
transport is negligible during the ignition and propagation processes.
The objective is to account for arbitrary spatial variations of tempe
rature and composition that may be present when ignition begins. A one
-step, Arrhenius reaction of large activation energy and arbitrary ord
ers with respect to both fuel and oxidizer describes the chemistry. Ex
pressions are obtained for the ignition time and for the rate of press
ure buildup after ignition in terms of the temperature and species con
centrations that exist in the nonreacting, multiphase, turbulent flow
just prior to or shortly after ignition.