Nonlinear evolution of nonuniformly heated falling liquid films

摘要: The present theoretical study focuses on the dynamics of a thin liquid film falling down vertical plate with nonuniform, sinusoidal temperature distribution. results are compared to those obtained in case uniform governing evolution equation for thickness profile based long-wave theory accounts two instability mechanisms related thermocapillarity. first mechanism is due an inhomogeneity at liquid–gas interface induced by perturbations thickness, when heat transfer gas phase present, while second one nonuniform heating imposed and leads steady-state deformations interface. For moderate traveling waves modulated envelope. When modulation along increases shape becomes “frozen” oscillatory ...