MATHEMATICAL MODELING OF TEMPERATURE FIELDS OF THE ROTATING CYLINDER
Keywords:
temperature field, a rolling roll, boundary value problem, boundary condition, the complex Fourier series, integral Hankel transform, Laplace, Fourie, Predvoditeleva criterionAbstract
In paper we consider a solid cylinder as a simplified model of the roll. The cylinder is under the influence of heat flow, which reflects the effect of the heated metal sheet on the roll. A three-dimensional mathematical model of temperature fields in a solid cylinder, which rotates at a constant angular velocity about the axis OZ length L, as a boundary value problem of mathematical physics is presented. As a result, found the temperature field of a solid cylinder as convergent orthogonal series of Bessel functions and of Fourie.
