Stability of Thin Liquid Films Falling Down Isothermal and Nonisothermal Walls

This paper reviews important results found in the past years on thin films falling down isothermal and nonisothermal walls. The discussion on isothermal flows is presented as the basis and background for the study of nonisothermal flows. Different model equations are presented and their approximations are discussed. Both linear and nonlinear results are surveyed on uniform and nonuniform heating of the wall. Also a review is given of the effect the curvature of the wall has on flows down vertical cylinders.