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Rotary kiln isa device used on a large scale in industry, including in thermal waste treatment. The article presents a review of methodologies for mathematical modeling of rotary kiln. It can be seen in the available bibliography that the most frequently modeled objectis a cement kiln. The modeling approach can be characterized as a division of the main model into submodels: gas and solid phase or the model of the reactor (residence time), the basic model (mass and energy balance) and the kinetics of the process. ...