Open AccessModeling the Drainage of aVertical Thin Liquid Film
Author(s) -
Joseph G. Abdulahad
Publication year - 2010
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.2010.163857
Subject(s) - instability , work (physics) , mechanics , thin film , constant (computer programming) , drainage , similarity (geometry) , front (military) , materials science , fluid motion , flow (mathematics) , physics , thermodynamics , computer science , nanotechnology , meteorology , image (mathematics) , biology , programming language , artificial intelligence , ecology
In this paper, we consider the drainage of a vertical thin liquid film and we study the case of instability in gravity driven flow of a vertical thin films. Throughout this work, we assumed that the fluid thickness is constant far behind the front and we neglect the thickness of the film at the beginning of the motion. The equation of the film thickness is obtained analytically, using the similarity method by which we can isolate the explicit time dependence and then the shape of the film will depend on one variable only.
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