Keywords : continuity equation

Vertical Flow in Viscous Thin Films

Khidr M.S. Khidr; Hikmat Sh. Mustafa

AL-Rafidain Journal of Computer Sciences and Mathematics, 2008, Volume 5, Issue 1, Pages 33-41
DOI: 10.33899/csmj.2008.163960

The aim of this paper is to investigate the vertical flow in thin films of an incompressible liquids with no inertia force. Continuity equation and Navier-Stokes equations are used to obtain the equation that governs this type of flow, this equation is solved by using numerical methods to find the thickness of film.

Curtain Coating Flow of an Inclined Thin Liquid Films

Faraidun K. Hama Salh

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 2, Pages 99-111
DOI: 10.33899/csmj.2007.164019

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.