Determination of the heat state in the five-layer hollow sphere at convective and radiative heat exchange with the environment

Abstract

The exact analytical expressions for the temperature field in a five-layer thermal sensitive hollow sphere using the model of the stationary nonlinear heat conduction with temperature-dependent coefficients of heat conduction and heat exchange has been obtained. The heat sources are present in the second and fourth layers. The inner surface has steady temperature and the outer one is subjected to the convective and radiative heat exchange. The influence of the thermal sensitivity of the material of sphere components on the temperature distribution has been investigated. Cite as: V. O. Horoshko, “Determination of the heat state in the five-layer hollow sphere at convective and radiative heat exchange with the environment,” Prykl. Probl. Mekh. Mat. , Issue 16, 141–146 (2018) (in Ukrainian), http://doi.org/10.15407/10.15407/apmm2018.16.141-146