Bifurcation characteristics of coal spontaneous combustion and analysis of critical state of gaseous

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The numerical model was presented for the coal combustion in the packed bed.The bifurcation characteristic of the ignition-extinction of solid-phase smoldering and transition to flaming was studied for the packed bed of coal. One of the Frank-Kamenetskii parameter β1 was selected as the control parameter. The computed results show that the bifurcation curve is obviously divided into two zones of solid-phase reaction and gasphase reaction, and the total process of ignition-extinction presents twice bifurcation characteristic. Moreover, the vanishing of critical state of ignition-extinction is studied. One of the transition points, ε2=0.05, is numerically solved for the vanishing of critical state. The larger the value of ε2 is, the easier the gas-phase can react. However, the combustion temperature will decrease with increasing ε2. The other transition point α2=0.53 is also obtained. With increasing the value of α2, the combustion temperature of gas-phase reaction is close to the smoldering temperature of coal. When α2 is infinite, the only reaction occurring is the smoldering combustion of solid-phase, and the gas-phase cannot react.
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