“…On the basis of his studies, the following equations were derived to describe the parabolic velocity profile, u z ( x ), along the gravity direction and the thickness, δ L , of a laminar liquid film of density ρ L and viscosity μ L
where g is the acceleration due to gravity and u z ,aver is the average liquid velocity. Since then, and especially during the past three decades, a significant amount of research on falling-film hydrodynamics has been conducted. − Understanding of the effects of the surface instability is very important in predicting the heat- and mass-transfer rates in falling-film devices. In numerous gas−liquid and liquid−liquid processes, interfacial instability often results in the intensification of separation processes such as distillation, extraction, absorption, and desorption.…”