Numerical Study Of Two-Dimensional Transient Heat Conduction Using Finite Element Method

Wong, Sau Keong (2005) Numerical Study Of Two-Dimensional Transient Heat Conduction Using Finite Element Method. Project Report. UTeM, Melaka, Malaysia. (Submitted)

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Abstract

This thesis presents a finite element method in numerical study of two-dimensional transient heat conduction to determine the temperature distribution as a function of time by using MATLAB. This study was mainly focus on time dependents heat transfer problem which was contributed by several factors such as unsteady state or transient problem, typically arises when the boundary conditions of a system are changed. The Galerkin method is the method of choice in the formulation which involves transient heat conduction. By using the bilinear rectangular element (quadrilateral element) in disretization and integration of weighted residual of the differential equation and also boundary condition was performed using finite element method. The formulation of the final matrix equation or global matrixes of two-dimensional transient heat conduction could then be determined. The temperature distribution as a function of time was performed using backward difference scheme, it was found that the temperature decline in early stage for ~t = 1 second. It can be concluded that it is better in the sense that it is computationally more efficient.

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