Masters Theses

Date of Award

6-1982

Degree Type

Thesis

Degree Name

Master of Science

Major

Engineering Science

Major Professor

K. H. Kim

Committee Members

A. J. Baker

Abstract

The purpose of this study was to investigate laminar natural convection heat transfer to non-Newtonian fluids. In particular, the investigation centered on momentum and heat transfer to a moving non-Newtonian fluid with a thermal radiation heat transfer influence. The study was initiated by first determining a set of transformation variables for the laminar boundary layer equations which reduce them to ordinary differential equations. The solutions to these equations were obtained using numerical analysis techniques. Solutions of these equations are biased on incompressible, viscous flows where the properties! such as viscosity and thermal conductivity are assumed to be constant. The geometry used in the analysis is a vertical flat plate which is impermeable.

The technique of numerical analysis used was the Runge-Kutta algorithm with Gill coefficients. This algorithm was used to generate solutions based on corrections to initial guesses for the initial values given to the slopes of the velocity profile and to the heat flux. The corrections were obtained by satisfying the asymptotic boundary layer so that the mean square error between the I computed variables and the asymptotic values are minimized.

The radiation properties of the medium was assumed to be optically thick and referred to as the Rosseland approximation. The radiation heat flux which resulted from the Rosseland approximation was assumed to be linear. Numerical results are presented for several hon-Newtonian cases at various values of radiation heat transfer.

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