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Annotation. The article discusses the method of calculating the dissipative function as a quantitative measure of the irreversibility of processes. The focus is on setting the tasks and outlining the methods for solving them, based on a theoretical model. A numerical example is given of the calculation of the local and integral dissipation of the process of thermal conductivity in the wall of a cylindrical reactor. Keywords: principle of irreversibility, dissipative function, local entropy production, heat flux density.