DOI

https://doi.org/10.25772/2JYG-T004

Author ORCID Identifier

https://orcid.org/0000-0001-6219-7126

Defense Date

2023

Document Type

Dissertation

Degree Name

Doctor of Philosophy

Department

Systems Modeling and Analysis

First Advisor

Dr. H. Reed Ogrosky

Second Advisor

Dr. Ihsan Topaloglu

Third Advisor

Dr. Rebecca Segal

Fourth Advisor

Dr. Punit Gandhi

Fifth Advisor

Dr. Lane Carasik

Abstract

Viscous liquid film flows in a tube arise in numerous industrial and biological applications, including the transport of mucus in human airways. Previous modeling studies have typically used no-slip boundary conditions, but in some applications the effects of slip at the boundary may not be negligible. We derive a long-wave model based on lubrication theory which allows for slippage along the boundary. Linear stability analysis verifies the impact of slip-length on the speed, growth rate, and wavelength of the most unstable mode. Nonlinear simulations demonstrate the impact of slip-length on plug formation and wave dynamics. These simulations are conducted for flows driven by gravity, core flow, or a combination of the two. We derive a second long-wave model to explore the effect of slip on fluid flow in a constricted tube. The results of simulations in such a tube will be discussed. Finally, we derive a third long-wave model for a flexible tube. A linear stability analysis is conducted for this final model. The effect of slip on the growth rate and speed of the waves will be investigated.

Rights

© The Author

Is Part Of

VCU University Archives

Is Part Of

VCU Theses and Dissertations

Date of Submission

8-11-2023

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