Abstract: The burning of industrial and agricultural wastes and garbage into ashes brought about significant air pollution characterized by the following gas components: CO, CO2, CH4, C2H4, H2O, etc. Among, technologies used to get rid of the components, thermodestruction remained the most efficient one. This study was devoted to thermodestruction modeling in a cylindrical incinerator of gas wastes produced by the combustion of garbage. Dimensionless transfer equations were solved using an implicit numerical scheme, Thomas and Gauss algorithms. Then the analysis of the influence of inlet smoke mass rate on heat and mass transfers was made. Values of the Reynolds number of 500, 1000 and 1750 were considered after a previous study for the values of 750 and 1250. The production of H2O and CO2 was even faster when Reynolds number was large during the combustion of effluents of smokes, whereas the thermodestruction was especially faster when the Reynolds number was large. The curves showed that C2H4 and CO disappeared completely within 8 sec for Re = 500 and 4 sec for Re = 1750 while for CH4 the process became inconsiderable within 3.2 sec for Re = 500 and 1.8 sec for Re = 1750. Then, the influence of smoke flow on the evolution of smoke composition over time was analyzed, using an overall chemical kinetic model. The numerical model showed the impact of smokes flow, heat and mass transfers and air excess on the incineration process. It could explain the clean-up of fumes from garbage combustion in an axial entry incinerator; polluting compounds were easily destroyed. Modern incinerators included pollution mitigation equipment such as flue gas cleaning.