Radial transient heat conduction in composite hollow cylinders with the temperature-dependent thermal conductivity is investigated numerically by using an application of the Laplace transform technique combined with the finite element method (FEM) or with the finite difference method (FDM). The domain of the governing equation is discretized using the FEM or FDM. The nonlinear terms are linearized by Taylor's series approximation. The time-derivatives in the linearized equations are transformed to the corresponding algebraic terms by the application of the Laplace transform. The numerical inversion of the Laplace transform is applied to invert the transformed temperatures to the temperatures in the physical quantity. Since the present method is not a time-stepping procedure, the results at a specific time can be calculated in the time domain without any step-by-step computations. To show the accuracy of the present method for the problems under consideration, a comparison of the hybrid finite element solutions with the hybrid finite difference solutions is made.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics