الملخص

The mechanism of thin liquid films on solid surfaces is fundamental to a wide variety of phenomena such as surface coatings in paint. A mathematical model is constructed to describe the two dimensions of steady thin liquid films flow on an inclined plane with  the use of lubrication approximation, we have applied Navier-Stokes equations in two dimensional coordinates for  flow of incompressible fluid with the specified boundary conditions, and the solution of the film thickness equation  has been drawn for flow for several inclination angles which modify  the shape  of the emerging patterns and also we derived the third order differential equations that govern such flow.  Finally the equations have been solved analytically.