Analytical solution of transient temperature distribution in curved beam

Abstract

In this study, analytical solution of transient temperature distribution of curved beam is presented for various boundary conditions. After derivation of the governing equation, solution for temperature distribution in curved beam is derived using an exact analytical method. The results are obtained for three different boundary conditions. The solution is obtained using separation of variables method. Applying the various boundary conditions yields unknown constants in terms of input parameters. The accuracy and trueness of the obtained solution and corresponding numerical results are satisfied using comparison with available results of literature. The results are presented for various types of the thermal boundary conditions.