ADIABATIC THERMAL EXPLOSION OF A GAS–SOLID MIXTURE

Abstract

The critical conditions of the adiabatic explosion problem of a gas–solid (dusty gas) mixture is presented. The definitions used for the homogeneous gas to determine criticality are used here for the gas–solid mixture. This work showed that the classical definition of the critical point can be adopted and modified to determine the critical condition in γ–η and γ–θ domains. It was also found that using the definition of criticality as an inflection point in the critical trajectory in the θ–η plane gives the same results as given by the classical definition of criticality. It is interesting to see that the critical and maximum points in the gas temperature–concentration domain could coincide. It was found that the presence of a solid produces more than one critical temperature. The limiting cases of the problem are also offered. The numerical solution showed that the supercritical trajectory shows a thermal runaway for the gas over the solid at the end of reaction.