The flow of thin viscous films over complex surfaces is relevant to th
e description of heat and mass transfer processes in ordered packing m
aterials. Ordered packings, usually made of corrugated sheets of metal
, plastic or ceramic materials have important operating advantages and
usually outperform random packings of similar characteristics. A two-
dimensional streamline function is used to compute the components of t
he velocity field and to reduce the equations of motion to a single, n
onlinear, ordinary differential equation for the film thickness. A per
turbation solution for small film thickness is developed that predicts
two film surface maxima for each cycle of the solid surface. Normal f
ilm thickness profiles are measured in a direction normal to the solid
surface, as opposed to experimental film thickness measured in a dire
ction normal to the axis of the solid surface. The agreement between e
xperimental and theoretical normal film thickness is very good for sma
ll values of the parameter delta, defined as the ratio of the Nusselt
film thickness and the amplitude of the wavy solid surface.