Document Type

Thesis

Date of Award

1-31-1988

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

P. Hrycak

Second Advisor

John Vincent Droughton

Third Advisor

Avraham Harnoy

Abstract

The theoretical study presented here examines heat transfer at the center of a round plate, in forced convection stagnation flow.

Note that in the region of stagnation point, the flow is always laminar.

Important results presented include the variations of the similarity function f and its derivative f’ with the vertical coordinate; these results were found by using the power series method to solve the governing non-linear differential equation. In order to do that , certain things were assumed like, for example, as the point at which two solutions were spliced, η0 =2.0, or assuming the solution at η0=∞ to be in certain form, which was only an approximation at η = η0.

The graph of f vs. η came out to be what we were expecting. It starts from zero with zero slope, then goes to 1 at infinity which is around η =6 and continues to be 1.

Curve of f’ vs. η starts from zero, and then goes to a maximum and then goes down to zero at infinity which is also around 6 and stays constant thereafter.

It is found that the results satisfy boundary conditions of the problem. The calculated heat transfer rate is reasonable when compared with the experimental results.

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