New approach to a problem of heat transfer with chemical reaction in a cylinder of finite dimensions

The three-dimension heat transfer problem of non-isothermal decomposition for a solid cylindrical particle was studied. The non-stationary thermo-chemical process with high activation energy in the particle was described by the system of two non-linear integro-differential equations over the temperature and material density. The solution of these equations was obtained by the semi-analytical method. The influence of chemical reaction parameters on the temperature field inside the cylinder was established. The numerical simulation was carried out for a solid particle heated with linearly increasing temperature from 30 to 700 °C. Special attention was paid to the spatial and time dependent distributions of the temperature field for different heating rates. This approach can be applied for kinetic parameter estimation of thermogravimetric measurements.