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.

https://ncsu.zoom.us/j/93602572256?pwd=U2xpYmZnem0rNWJRdkJjTDhQZm04QT09