Date of Award

12-2015

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

H. Edward Donley, Ph.D.

Fourth Advisor

Charles Lamb, Ph.D.

Abstract

Using an immersed boundary method, the flow created by a swimmer of non-trivial girth in both Newtonian and viscoelastic fluids is simulated. This model allows for insight into the differences between swimming in Newtonian and viscoelastic fluids. The swimmer is modeled in various Deborah and Reynold's number flows, tracking marker particles, computing velocity profiles, streamlines, and other indicators. For a swimming body, the model simulates the flow due to the locomotion of an active swimmer, actuating the fluid. The swimmer's impact on the fluid can be quantified, as well as how the fluid properties impact the motion of swimmer. Study of a swimmer of non-trivial girth is an area that is not broadly addressed in the current literature, particularly in viscoelastic fluids.

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