The Bessel Thomson functions as an argument of the differential equations: the case of heat transfer. A specific model

Motion of heat in work rolls used for hot rolling of steel strip is described by means of a model that take into account the Bessel–Thomson functions and La Theorie Analytique de la Chaleur of Fourier. This specific model is based on the Bessel's differential equation whose solutions are called Bessel functions of order n, which can be rewritten in the form of Kelvin functions. The heat transfer in hot rolling is carried out by means of conduction and free and forced convection. This model sets an important precedent for novel insight in computer modelling of industrial processes in the field of material sciences.