Date of Award

3-1-1995

Degree Type

Thesis

University or Center

Clark Atlanta University(CAU)

School

School of Arts and Sciences

Degree Name

M.S.

Department

Mathematical Sciences

First Advisor

Dr. J. Ernest Wilkins, Jr.

Abstract

This paper reports the solution of an optimization problem for spines of cylindrical profile that transfer heat by convection when the spine material has constant thermal conductivity. The volume enclosed by the spine is used as a method of rejecting power from the base surface maintained at a specified temperature. The ultimate goal of this thesis is to find a cylindrical spine of minimum profile volumne which transfers a maximum amount of heat by convection when the thermal conductivity is constant. We compute the geometrical and thermal properties of the optimal cylindrical spine.

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