Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and bou...

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Detalles Bibliográficos
Autores principales: Gul, Taza, Islam, Saeed, Shah, Rehan Ali, Khalid, Asma, Khan, Ilyas, Shafie, Sharidan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4493037/
https://www.ncbi.nlm.nih.gov/pubmed/26147287
http://dx.doi.org/10.1371/journal.pone.0126698
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author Gul, Taza
Islam, Saeed
Shah, Rehan Ali
Khalid, Asma
Khan, Ilyas
Shafie, Sharidan
author_facet Gul, Taza
Islam, Saeed
Shah, Rehan Ali
Khalid, Asma
Khan, Ilyas
Shafie, Sharidan
author_sort Gul, Taza
collection PubMed
description This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient techniques namely the Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). Both of these solutions are presented graphically and compared. This comparison is also shown in tabular form. An excellent agreement is observed. The effects of various physical parameters on velocity have also been studied graphically.
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spelling pubmed-44930372015-07-15 Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt Gul, Taza Islam, Saeed Shah, Rehan Ali Khalid, Asma Khan, Ilyas Shafie, Sharidan PLoS One Research Article This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient techniques namely the Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). Both of these solutions are presented graphically and compared. This comparison is also shown in tabular form. An excellent agreement is observed. The effects of various physical parameters on velocity have also been studied graphically. Public Library of Science 2015-07-06 /pmc/articles/PMC4493037/ /pubmed/26147287 http://dx.doi.org/10.1371/journal.pone.0126698 Text en © 2015 Gul et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Gul, Taza
Islam, Saeed
Shah, Rehan Ali
Khalid, Asma
Khan, Ilyas
Shafie, Sharidan
Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title_full Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title_fullStr Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title_full_unstemmed Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title_short Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt
title_sort unsteady mhd thin film flow of an oldroyd-b fluid over an oscillating inclined belt
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4493037/
https://www.ncbi.nlm.nih.gov/pubmed/26147287
http://dx.doi.org/10.1371/journal.pone.0126698
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