Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet

The aim of this paper was to examine the steady boundary layer flow of an Eyring–Powell model fluid due to an exponentially shrinking sheet. In addition, the heat transfer process in the presence of thermal radiation is considered. Using usual similarity transformations the governing equations have...

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Main Authors: Asmat Ara, Najeeb Alam Khan, Hassam Khan, Faqiha Sultan
Format: Article
Language:English
Published: Elsevier 2014-12-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S209044791400080X
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author Asmat Ara
Najeeb Alam Khan
Hassam Khan
Faqiha Sultan
author_facet Asmat Ara
Najeeb Alam Khan
Hassam Khan
Faqiha Sultan
author_sort Asmat Ara
collection DOAJ
description The aim of this paper was to examine the steady boundary layer flow of an Eyring–Powell model fluid due to an exponentially shrinking sheet. In addition, the heat transfer process in the presence of thermal radiation is considered. Using usual similarity transformations the governing equations have been transformed into non-linear ordinary differential equations. Homotopy analysis method (HAM) is employed for the series solutions. The convergence of the obtained series solutions is carefully analyzed. Numerical values of the temperature gradient are presented and discussed. It is observed that velocity increases with an increase in mass suction S. In addition, for the temperature profiles opposite behavior is observed for increment in suction. Moreover, the thermal boundary layer thickness decreases due to increase in Prandtl number Pr and thermal radiation R.
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spelling doaj.art-0a3f10ef71614e48b420f818d467b62e2022-12-21T18:44:06ZengElsevierAin Shams Engineering Journal2090-44792014-12-01541337134210.1016/j.asej.2014.06.002Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheetAsmat Ara0Najeeb Alam Khan1Hassam Khan2Faqiha Sultan3Department of Mathematical Sciences, Federal Urdu University Arts, Science and Technology, Karachi 75300, PakistanDepartment of Mathematical Sciences, University of Karachi, Karachi 75270, PakistanDepartment of Mathematical Sciences, University of Karachi, Karachi 75270, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Karachi 75030, PakistanThe aim of this paper was to examine the steady boundary layer flow of an Eyring–Powell model fluid due to an exponentially shrinking sheet. In addition, the heat transfer process in the presence of thermal radiation is considered. Using usual similarity transformations the governing equations have been transformed into non-linear ordinary differential equations. Homotopy analysis method (HAM) is employed for the series solutions. The convergence of the obtained series solutions is carefully analyzed. Numerical values of the temperature gradient are presented and discussed. It is observed that velocity increases with an increase in mass suction S. In addition, for the temperature profiles opposite behavior is observed for increment in suction. Moreover, the thermal boundary layer thickness decreases due to increase in Prandtl number Pr and thermal radiation R.http://www.sciencedirect.com/science/article/pii/S209044791400080XBoundary layer flowEyring–Powell modelThermal radiation
spellingShingle Asmat Ara
Najeeb Alam Khan
Hassam Khan
Faqiha Sultan
Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
Ain Shams Engineering Journal
Boundary layer flow
Eyring–Powell model
Thermal radiation
title Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
title_full Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
title_fullStr Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
title_full_unstemmed Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
title_short Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
title_sort radiation effect on boundary layer flow of an eyring powell fluid over an exponentially shrinking sheet
topic Boundary layer flow
Eyring–Powell model
Thermal radiation
url http://www.sciencedirect.com/science/article/pii/S209044791400080X
work_keys_str_mv AT asmatara radiationeffectonboundarylayerflowofaneyringpowellfluidoveranexponentiallyshrinkingsheet
AT najeebalamkhan radiationeffectonboundarylayerflowofaneyringpowellfluidoveranexponentiallyshrinkingsheet
AT hassamkhan radiationeffectonboundarylayerflowofaneyringpowellfluidoveranexponentiallyshrinkingsheet
AT faqihasultan radiationeffectonboundarylayerflowofaneyringpowellfluidoveranexponentiallyshrinkingsheet