Determination of the conditions of spontaneous combustion of a rheologically complex medium inside the continuous infinite cylinder in convective heat transfer case

Abstract

We obtain the dependence of the relative temperature of a rheologically complex medium depending on the distance to the center of the cylinder. The conditions of spontaneous combustion and the stability of the solutions obtained were investigated, and the approximations of the expressions obtained were carried out. The results obtained in this work allowed us to determine the areas of occurrence of critical flow regimes inside a hollow cylinder under thermal boundary conditions of the 1st and 3rd kind.