RÉSUMÉ

Heat transfer phenomenon within a one-dimensional finite fin subjected to the action of a constant heat source was studied in this paper. The Cattaneo−Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a nonlinear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the method used in this study is a powerful tool for solving non-Fourier PDEs. It was also found that the nonlinear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in similar problems. The weak role of convection heat transfer was also specified.