One Dimensional Heat Transfer through a Uniform Plane Wall by Using Finite Volume Method

Abstract

In this paper, the finite volume method has been used to investigate one-dimensional conductive heat transfer throw a uniform plane wall. Then the step by step procedures of this numerical solution is described and implemented in a real-world problem where tri-diagonal matrix algorithm and Gaussian elimination matrix method are applied to solve the system of our discretized algebraic system of equations. Finally, to check the accuracy of our method, a comparison between the numerical solution obtained by finite volume techniques and the exact solution is presented which shows a minimum error compared to other existing methods.