Longitudinal flow of a lenticular liquid filament down an inclined plane

Abstract

The theoretical analysis of the velocity distribution within a lenticular liquid filament flowing down an inclined plane is presented. The solution based on a series expansion, whose validity depends on the smallness of the filament's height to width ratio, is compared graphically with an exact numerical solution. The gas-liquid lenticular interface is determined in such a way that all constants are known directly in terms of measurable physical parameters.