Ogrosky, H. Reed

Schwitzerlett, Mark S

Topaloglu, Ihsan

English

VCU Scholars Compass

Virginia Commonwealth University VCU Scholars Compass Biology and Medicine Through Mathematics Conference 2022 May 19th, 3:00 PM - 3:30 PM The effect of slip on the waves of a free falling highly viscous film inside a vertical tube Mark S. Schwitzerlett msschwitzerl@vcu.edu Ihsan Topaloglu Virginia Commonwealth University, iatopaloglu@vcu.edu H. Reed Ogrosky Virginia Commonwealth University, hrogrosky@vcu.edu Follow this and additional works at: https://scholarscompass.vcu.edu/bamm  Part of the Life Sciences Commons, Medicine and Health Sciences Commons, and the Physical Sciences and Mathematics Commons https://scholarscompass.vcu.edu/bamm/2022/thur/10 This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For more information, please contact libcompass@vcu.edu. 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.    

The effect of slip on the waves of a free falling highly viscous film inside a vertical tube

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1439&context=bamm

The effect of slip on the waves of a free falling highly viscous film inside a vertical tube

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