Graduation Semester and Year

2009

Language

English

Document Type

Thesis

Degree Name

Master of Science in Aerospace Engineering

Department

Mechanical and Aerospace Engineering

First Advisor

Seiichi Nomura

Abstract

The Galerkin method is used to semi-analytically solve the heat conduction equation in non-homogeneous materials. The problem under deliberation is a square plate with a circular inclusion having different thermal conductivities. A generalized procedure that involves the Galerkin method and formulation of the final solution in terms of the procured base functions is adopted. The Galerkin method basically involves expressing the given boundary value problem in terms of a standard mathematical relation, generating a set of continuous base functions, formulating the matrix equation, and determining the solution.For the non-homogeneous material, a set of base functions for the plate and inclusion are determined separately, through which the solution is formulated for the entire domain. The Galerkin method involves tedious and time-consuming computations, which is facilitated with the aid of a computer algebra system, Mathematica.

Disciplines

Aerospace Engineering | Engineering | Mechanical Engineering

Comments

Degree granted by The University of Texas at Arlington

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