Department of Mathematics Calendar
Hangjie Ji, UCLA, Dynamics of thin liquid films on vertical cylindrical fibers
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Thin liquid films flowing down vertical fibers exhibit complex and interesting interfacial dynamics, including droplet formation and traveling wave patterns. Such dynamics play a crucial role in the design of heat and mass exchangers for many engineering applications, including cooling and desalination systems. Recent experiments present a wealth of new dynamics that illustrate the need for more advanced theory. In this talk, I will first present a study of a full lubrication model that includes slip boundary conditions, nonlinear curvature terms, and a film stabilization term. This model better explains the observed velocity and stability of traveling droplets in experiments and their transition to isolated droplets. Next, I will discuss droplet coalescence dynamics induced by an inhomogeneous temperature field along the fiber. To characterize the flow regime transition driven by varying nozzle diameters, I will also present a study of a weighted residual integral boundary-layer model that incorporates moderate inertia. Finally, I will discuss some analytical results on the traveling wave solutions to the fiber coating models.
December 4, 2020
1:30 pm - 2:00 pm
- Event Category:
- Special Seminar