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Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition
In this article, we have studied the flow and heat transfer in Sisko fluid with convective boundary condition over a non-isothermal stretching sheet. The flow is influenced by non-linearly stretching sheet in the presence of a uniform transverse magnetic field. The partial differential equations gov...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4186795/ https://www.ncbi.nlm.nih.gov/pubmed/25285822 http://dx.doi.org/10.1371/journal.pone.0107989 |
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author | Malik, Rabia Khan, Masood Munir, Asif Khan, Waqar Azeem |
author_facet | Malik, Rabia Khan, Masood Munir, Asif Khan, Waqar Azeem |
author_sort | Malik, Rabia |
collection | PubMed |
description | In this article, we have studied the flow and heat transfer in Sisko fluid with convective boundary condition over a non-isothermal stretching sheet. The flow is influenced by non-linearly stretching sheet in the presence of a uniform transverse magnetic field. The partial differential equations governing the problem have been reduced by similarity transformations into the ordinary differential equations. The transformed coupled ordinary differential equations are then solved analytically by using the homotopy analysis method (HAM) and numerically by the shooting method. Effects of different parameters like power-law index [Image: see text], magnetic parameter [Image: see text], stretching parameter [Image: see text], generalized Prandtl number Pr and generalized Biot number [Image: see text] are presented graphically. It is found that temperature profile increases with the increasing value of [Image: see text] and [Image: see text] whereas it decreases for [Image: see text]. Numerical values of the skin-friction coefficient and local Nusselt number are tabulated at various physical situations. In addition, a comparison between the HAM and exact solutions is also made as a special case and excellent agreement between results enhance a confidence in the HAM results. |
format | Online Article Text |
id | pubmed-4186795 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-41867952014-10-16 Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition Malik, Rabia Khan, Masood Munir, Asif Khan, Waqar Azeem PLoS One Research Article In this article, we have studied the flow and heat transfer in Sisko fluid with convective boundary condition over a non-isothermal stretching sheet. The flow is influenced by non-linearly stretching sheet in the presence of a uniform transverse magnetic field. The partial differential equations governing the problem have been reduced by similarity transformations into the ordinary differential equations. The transformed coupled ordinary differential equations are then solved analytically by using the homotopy analysis method (HAM) and numerically by the shooting method. Effects of different parameters like power-law index [Image: see text], magnetic parameter [Image: see text], stretching parameter [Image: see text], generalized Prandtl number Pr and generalized Biot number [Image: see text] are presented graphically. It is found that temperature profile increases with the increasing value of [Image: see text] and [Image: see text] whereas it decreases for [Image: see text]. Numerical values of the skin-friction coefficient and local Nusselt number are tabulated at various physical situations. In addition, a comparison between the HAM and exact solutions is also made as a special case and excellent agreement between results enhance a confidence in the HAM results. Public Library of Science 2014-10-06 /pmc/articles/PMC4186795/ /pubmed/25285822 http://dx.doi.org/10.1371/journal.pone.0107989 Text en © 2014 Malik 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 Malik, Rabia Khan, Masood Munir, Asif Khan, Waqar Azeem Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title | Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title_full | Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title_fullStr | Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title_full_unstemmed | Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title_short | Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition |
title_sort | flow and heat transfer in sisko fluid with convective boundary condition |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4186795/ https://www.ncbi.nlm.nih.gov/pubmed/25285822 http://dx.doi.org/10.1371/journal.pone.0107989 |
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