Essenhigh and Csaba's model for plane flame propagation through a coal dust cloud has been extended to incorporate heat generation due to chemical reaction. The dust cloud has been assumed to be monodisperse, and the temperature difference between the particles and the surrounding gas has been neglected. The heat generation function is valid for the entire reaction zone, and the dust is heated simultaneously by the heat radiated from the flame front and by the heat generated by chemical reaction within the dust cloud. The energy equation representing the system is a nonlinear differential one and can be solved numerically for the evaluation of burning velocity, temperature profile, and the heat generation rate along the flame axis. Bhaduri's work on plane-flame-predicting flame characteristics (i.e., flame length, degree of carbon burnout, and concentrations of oxygen and carbon dioxide along the flame) has been extended to include the effect of excess air in the coal dust-air mixture. The plane flame model has been further extended for a jet flame for the evaluation of the flame characteristics. The data on burning velocity, flame length, and gas concentration predicted analytically compare well with the experimental data obtained by Essenhigh and by Howard and Beer.