Date of Award

5-2013

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

John C. Chrispell, Ph.D.

Second Advisor

Frederick A. Adkins, Ph.D.

Third Advisor

Daniel A. Burkett, Ph.D.

Fourth Advisor

H. Edward Donley, Ph.D.

Fifth Advisor

Yu-Ju Kuo, Ph.D.

Abstract

The flow created by two eccentric rotating cylinders immersed in both Newtonian and viscoelastic fluids is simulated with a model created using the immersed boundary method. A model of this form allows for the transient behavior of the flow in the bearing to be studied as it transitions from rest to a steady state. The model allows for the study of lubricants inside a journal bearing. For a fixed outer annulus and a rotating inner annulus, the model simulates flow of various Deborah and Reynold's numbers and results are compared and contrasted using marker particles, velocity profiles, streamlines, the trace of the viscoelastic extra stress, stress ellipses, and mean flux. Study of the transient behavior of this type of system is an area where there are gaps in existing literature, especially for viscoelastic fluids.

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