Date of Award

Spring 1982

Document Type

Dissertation

Degree Name

Doctor of Engineering Science in Chemical Engineering

Department

Chemical Engineering and Chemistry

First Advisor

Richard C. Progelhof

Second Advisor

Wing T. Wong

Third Advisor

George Y. Lei

Fourth Advisor

Ching-Rong Huang

Abstract

A computer model for the withdrawl and buildup of the fluid from the pool bounded on the horizontal, rotating, cylindrical surface has been developed. For a incompressible Newtonian fluid, the model is based upon the modified SOLA-SURF algorithm to solve the finite-difference form of Navier-Stokes equations on primitive variables. A hybird of centered and partial donor cell differencings is applied to the momentum convective flux. In each time cycle, the cell velocity is adjusted by the pressure corrector and iterates to satisfy the equation of continuity. The free surface position is approximated by a surface height function derived from kinematic equation. The flow field moves under control of constant fluid volume. When the bottom boundary is a free surface, it is necessary to make good initial guess of the velocities for the newly entered cells.

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