Temperature and stress distribution in hollow annular disk of uniform thickness with quadratic temperature-dependent thermal conductivity

摘要

In this article, homotopy analysis method (HAM) is used to evaluate the thermal behavior of a hollow annular disk with quadratic temperature-dependent thermal conductivity and to determine the temperature and stress distribution within the fin. The nonlinear equations for convective heat transfer from the fin, the eciency of fin, and the thermal stress in the fin are derived and solved using HAM. After convergence analyses of the method, the numerical results are validated against the other available numerical methods. The numerical heat transfer results are obtained for various values of Biot numbers. Also, the effects of various geometric and material properties are studied separately. After that, using the obtained temperature gradients in the fin, a closed-form solution is obtained for the eciency and the thermal stress field associated with temperature gradients in the fin. Then, the results for stress domain are validated against the available data in the literature. Finally, new results taking into account the effects of various parameters are presented. The thermal stress field results are presented in the form of contour plots.