Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation

In this paper, the stability and dynamics of a thin liquid films flowing down on an inclined plane are investigated by using integral approximation. The strong non-linear evolution equations are derived by the integral approximation with a specified velocity profile. The evolution equations are used...

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Main Author: Hajar Ismael
Format: Article
Language:English
Published: Mosul University 2014-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163747_7e28711124e3da40d0859bdb9cae95cc.pdf
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author Hajar Ismael
author_facet Hajar Ismael
author_sort Hajar Ismael
collection DOAJ
description In this paper, the stability and dynamics of a thin liquid films flowing down on an inclined plane are investigated by using integral approximation. The strong non-linear evolution equations are derived by the integral approximation with a specified velocity profile. The evolution equations are used to study the linear stability for liquid films. As a result, output of this research, we showed that the effect of inclination of films is an unstable factor.
format Article
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institution OA Journals
issn 1815-4816
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publishDate 2014-12-01
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record_format Article
series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-9feb7fbca3384b52b5ca877481522c382025-08-20T02:13:24ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902014-12-01112132410.33899/csmj.2014.163747163747Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral ApproximationHajar Ismael0Faculty of Science, University of Zakho Zakho – Kurdistan-Region, IraqIn this paper, the stability and dynamics of a thin liquid films flowing down on an inclined plane are investigated by using integral approximation. The strong non-linear evolution equations are derived by the integral approximation with a specified velocity profile. The evolution equations are used to study the linear stability for liquid films. As a result, output of this research, we showed that the effect of inclination of films is an unstable factor.https://csmj.mosuljournals.com/article_163747_7e28711124e3da40d0859bdb9cae95cc.pdfstabilitynon-linear equationsintegral approximation
spellingShingle Hajar Ismael
Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
Al-Rafidain Journal of Computer Sciences and Mathematics
stability
non-linear equations
integral approximation
title Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
title_full Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
title_fullStr Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
title_full_unstemmed Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
title_short Linear Stability of Thin Liquid Films flows down on an Inclined Plane using Integral Approximation
title_sort linear stability of thin liquid films flows down on an inclined plane using integral approximation
topic stability
non-linear equations
integral approximation
url https://csmj.mosuljournals.com/article_163747_7e28711124e3da40d0859bdb9cae95cc.pdf
work_keys_str_mv AT hajarismael linearstabilityofthinliquidfilmsflowsdownonaninclinedplaneusingintegralapproximation