Theoretical Investigation of a Cascaded Fin Thermal Behavior Using MATLAB and Symbolic Math Toolbox

Full Text PDF PDF
Author(s) Abdulmajeed S. AL-Ghamdi
Pages 174-187
Volume 2
Issue 2
Date February, 2012
Keywords MATLAB, Symbolic solution, Analytical, Finite element, Cascaded fin, Thermal behavior.
Abstract

Thermal behavior of cascaded rectangular-triangular fin is analytically and numerically investigated using MATLAB. Three different methods of solution are implemented in this study. First, an analytical closed form solution of the problem under-consideration is obtained manually since the governing equations and their boundary conditions are linear. Second, the solution is developed in symbolic form using MATLAB symbolic toolbox and compared with developed closed form analytical solution. Third, a two-dimensional form of the problem at hand is solved using finite elements method via MATLAB’s PDE (partial differential equation) toolbox and compared with analytical solution. The results of this study show that MATLAB can be used effectively and efficiently to solve challenging heat transfer problems.

< Back to Feb Issue