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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Main Authors: Tasawar Hayat, Muhammad Bilal Ashraf, Hamed H Alsulami, Muhammad Shahab Alhuthali
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2014-01-01
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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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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AT hamedhalsulami threedimensionalmixedconvectionflowofviscoelasticfluidwiththermalradiationandconvectiveconditions
AT muhammadshahabalhuthali threedimensionalmixedconvectionflowofviscoelasticfluidwiththermalradiationandconvectiveconditions