Date of Award

Spring 1984

Document Type


Degree Name

Doctor of Engineering Science in Chemical Engineering


Chemical Engineering and Chemistry

First Advisor

Ching-Rong Huang

Second Advisor

Jacob Klapper

Third Advisor

Joseph W. Bozzelli

Fourth Advisor

Chen-Chong Lin

Fifth Advisor

John E. McCormick


Mathematical models for the mixing phenomenon are proposed in this study. First model deals Newtonian and non-Newtonian fluid without chemical reaction. The new terminology " degree of mixing " is define in this model for the time-dependency of mixing toward its completeness. The velocity profile and boundary conditions are given, then the degree of mixing can be calculated by the mathematical model. The degree of mixing is influenced by fluid motion and it is function of time.

Second model deals with first-order reaction effected by mixing. A mean fractional conversion is defined to investigate the rate of bhemical reaction. Results from numerical method indicate the rate of chemical reaction is greatly influenced by mixing , especially when the reaction rate is fast.

Finally, a mathematical model based on microscopic collision theory is developed for the estimation of chemical reaction rate constant in this study.