Modelling film flows down the inner surface of a nonuniformly heated rotating fibre*

The study of the flow thin liquid films has gained a good momentum for years because of the rich dynamics that they exhibit and various industrial applications. In this work, we investigate the behavior of a falling liquid film inside a non-uniform heated, rotating, vertical cylinder. The interplay between gravity-driven film flow, cylinder rotation, and non-uniform heating introduces complex fluid dynamics and heat transfer phenomena. The study aims to elucidate the impact of rotation and non-uniform heating on the film's thickness and stability. Numerical simulations and theoretical analysis are employed to understand the intricate dynamics and heat transfer characteristics of this system. The findings provide valuable insights into the behavior of falling films in similar configurations, aiding in the optimization of various industrial applications involving heat and mass transfer processes. Stability analysis and numerical simulation agree well with the theoretical observations.