Дважды нелинейная нестационарная теплопроводность полубесконечного цилиндра, нагреваемого зонально по торцу

Abstract

To study the twice nonlinear unsteady heat conduction problem, approximate analytical methods are widely used to obtain a solution in the form of a functional dependence that continuously describes the distribution of temperature fields in a given body in space and time. Such problems are of particular value for engineering practice, since closed solutions make it possible to most fully identify the influence of all acting factors on the temperature field, find the relationships between the most important parameters, conduct a detailed analysis of the kinetics and dynamics of the process, etc. In addition, the analytical form The final solution of the temperature problem is extremely necessary for the subsequent calculation of the thermally stressed state of the body. Therefore, it is important and relevant to create new methods for calculating temperature fields that adequately take into account the properties of real materials and the conditions of their heat exchange with the environment.