Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Watch a 31-minute research presentation exploring the destabilization of falling liquid films through an integral approach, delivered by Paolo Botticini from the Università degli Studi di Brescia. Examine the classical 2D problem of gravity-driven liquid layers on inclined plates, with a focus on relaxing traditional homogeneous fluid assumptions. Learn how fluid density variations affect depth-averaged model formulation, understand the extent of compressibility's role in long-wave interfacial instability, and discover the physical mechanisms behind these phenomena. Explore the development of a weakly-compressible boundary-layer system using second-order asymptotic expansion, and understand temporal linear stability analysis findings that reveal compressibility's destabilizing effects, particularly in intermediately tilted configurations. Gain insights into the two-wave hierarchy framework and how compressibility enhances the Kapitza instability by amplifying flow-rate variations within liquid films. Read more