Abstract
We study the dynamics of particle-laden flames, the steady propagation regimes of which have been studied in Part I (Joulin, 1986). Attention is focused on the non-steady couplings between radiative-preheating and conductive losses. Non-linear evolution equations are obtained for the instantaneous burning speed. In the case of a simplified model of radiative-transfer and of conductive exchanges between the phases, the stable regimes are selected, if any. When no stable regime exists, strong relaxation oscillations in burning speed are exhibited. In cases of bi-stability, transitions-induced by head-on flame/flame radiative interactions—between stable regimes are shown. Finally, hints are given to generalize the results to more accurate modellings of radiative transfers, chemistry, and conductive exchanges.
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