Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions.
The objective of present research is to examine the thermal radiation effect in three-dimensional mixed convection flow of viscoelastic fluid. The boundary layer analysis has been discussed for flow by an exponentially stretching surface with convective conditions. The resulting partial differential...
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Public Library of Science (PLoS)
2014-01-01
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Series: | PLoS ONE |
Online Access: | http://europepmc.org/articles/PMC3946481?pdf=render |
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author | Tasawar Hayat Muhammad Bilal Ashraf Hamed H Alsulami Muhammad Shahab Alhuthali |
author_facet | Tasawar Hayat Muhammad Bilal Ashraf Hamed H Alsulami Muhammad Shahab Alhuthali |
author_sort | Tasawar Hayat |
collection | DOAJ |
description | The objective of present research is to examine the thermal radiation effect in three-dimensional mixed convection flow of viscoelastic fluid. The boundary layer analysis has been discussed for flow by an exponentially stretching surface with convective conditions. The resulting partial differential equations are reduced into a system of nonlinear ordinary differential equations using appropriate transformations. The series solutions are developed through a modern technique known as the homotopy analysis method. The convergent expressions of velocity components and temperature are derived. The solutions obtained are dependent on seven sundry parameters including the viscoelastic parameter, mixed convection parameter, ratio parameter, temperature exponent, Prandtl number, Biot number and radiation parameter. A systematic study is performed to analyze the impacts of these influential parameters on the velocity and temperature, the skin friction coefficients and the local Nusselt number. It is observed that mixed convection parameter in momentum and thermal boundary layers has opposite role. Thermal boundary layer is found to decrease when ratio parameter, Prandtl number and temperature exponent are increased. Local Nusselt number is increasing function of viscoelastic parameter and Biot number. Radiation parameter on the Nusselt number has opposite effects when compared with viscoelastic parameter. |
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institution | Directory Open Access Journal |
issn | 1932-6203 |
language | English |
last_indexed | 2024-12-11T12:06:55Z |
publishDate | 2014-01-01 |
publisher | Public Library of Science (PLoS) |
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spelling | doaj.art-3f6213c381b44f00bb621d7764d9630a2022-12-22T01:07:54ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-0193e9003810.1371/journal.pone.0090038Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions.Tasawar HayatMuhammad Bilal AshrafHamed H AlsulamiMuhammad Shahab AlhuthaliThe objective of present research is to examine the thermal radiation effect in three-dimensional mixed convection flow of viscoelastic fluid. The boundary layer analysis has been discussed for flow by an exponentially stretching surface with convective conditions. The resulting partial differential equations are reduced into a system of nonlinear ordinary differential equations using appropriate transformations. The series solutions are developed through a modern technique known as the homotopy analysis method. The convergent expressions of velocity components and temperature are derived. The solutions obtained are dependent on seven sundry parameters including the viscoelastic parameter, mixed convection parameter, ratio parameter, temperature exponent, Prandtl number, Biot number and radiation parameter. A systematic study is performed to analyze the impacts of these influential parameters on the velocity and temperature, the skin friction coefficients and the local Nusselt number. It is observed that mixed convection parameter in momentum and thermal boundary layers has opposite role. Thermal boundary layer is found to decrease when ratio parameter, Prandtl number and temperature exponent are increased. Local Nusselt number is increasing function of viscoelastic parameter and Biot number. Radiation parameter on the Nusselt number has opposite effects when compared with viscoelastic parameter.http://europepmc.org/articles/PMC3946481?pdf=render |
spellingShingle | Tasawar Hayat Muhammad Bilal Ashraf Hamed H Alsulami Muhammad Shahab Alhuthali Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. PLoS ONE |
title | Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. |
title_full | Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. |
title_fullStr | Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. |
title_full_unstemmed | Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. |
title_short | Three-dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions. |
title_sort | three dimensional mixed convection flow of viscoelastic fluid with thermal radiation and convective conditions |
url | http://europepmc.org/articles/PMC3946481?pdf=render |
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