Investigation On Stability Of Two-Dimensional Shear Interfacial Waves Of Falling Liquid Films

For liquid film flow under the effect of gas flow, the hydrodynamics and flow stabilities of liquid film are obviously influenced by the interfacial shear stress. The two-dimensional governing equations of the sheared liquid film falling down an inclined wall are established. Based on order of magnitude analysis, the second boundary layer model of the sheared liquid film flow is presented and flow stabilities for different models are compared. The evolution equation of the two-dimensional waves of sheared films falling down an inclined wall under the effect of gas flow is formulated with the integral approach based on the boundary layer theory. Stability characteristic equations are presented for flow stabilities. The effects of shear stress, Reynolds number, wave number, surface tension, inclination angle and liquid property on the stability of liquid film flow are investigated with the present model.