Author ORCID Identifier

Defense Date


Document Type


Degree Name

Doctor of Philosophy


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


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.


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