Open AccessCurtain Coating Flow of an Inclined Thin Liquid Films
Author(s) -
Faraidun Hama Salh
Publication year - 2007
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2007.164019
Subject(s) - inclined plane , flow (mathematics) , lubrication , mechanics , lubrication theory , boundary value problem , external flow , materials science , compressibility , navier–stokes equations , thin film , plane (geometry) , coating , incompressible flow , geometry , classical mechanics , physics , mathematics , mathematical analysis , composite material , nanotechnology , quantum mechanics
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
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