Date of Award

5-2013

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Rick Adkins, Ph.D.

Second Advisor

Yu-Ju Kuo, Ph.D.

Third Advisor

Majid Karimi, Ph.D.

Abstract

We investigate the thermal diffusivity property of metal alloys by solving an inverse heat transfer problem using sets of data collected during designed experiments on the heating and cooling of metal alloys. A two-dimensional numerical heat equation is used to model a cross sectional view of the alloys' temperature distribution inside a furnace at any given time. By discretizing the governing equation on a rectangular domain with equal spacing in both x and y directions, diffusivity coefficients are obtained by constructing a series of curves that converges to the actual temperature versus time plot for the alloy in question. A simple explicit scheme is used to advance the solution into the future and boundaries are updated locally while keeping a small time interval between intermediate points.

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