Analytical/numerical study of one-dimensional heat transfer in fins

Abstract

This paper has objective to present a numerical study of heat transfer in one-dimensional fins using the central finite difference method of order 2. For solution of the linear system makes use of Gauss-Seidel method. To validate the results, we compare the results with an analytical solution found in the open literature. The work also shows that this problem several concepts studied in subjects such as Calculus IV (Differential Equations of Second Order Ordinary), Thermodynamics and Heat and Mass Transfer, Numerical Calculus and others can be used to solve problems of engineering.