Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation

This paper is concerned with the unsteady two-dimensional boundary layer flow of an incompressible Williamson fluid over an unsteady permeable stretching surface with thermal radiation. Effects of electric and magnetic fields are considered. The nonlinear boundary layer partial differential equation...

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Main Authors: T. Hayat, Anum Shafiq, A. Alsaedi
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016816301417
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spelling doaj-4a8af88f589f44cc99cd894610d0ae802021-06-02T05:04:33ZengElsevierAlexandria Engineering Journal1110-01682016-09-015532229224010.1016/j.aej.2016.06.004Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipationT. Hayat0Anum Shafiq1A. Alsaedi2Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, PakistanNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper is concerned with the unsteady two-dimensional boundary layer flow of an incompressible Williamson fluid over an unsteady permeable stretching surface with thermal radiation. Effects of electric and magnetic fields are considered. The nonlinear boundary layer partial differential equations are first converted into the system of ordinary differential equations and then solved analytically. Effects of physical parameters such as Weissenberg number, unsteadiness parameter, suction parameter, magnetic parameter, electric parameter, radiation parameter, Prandtl number and Eckert number on the velocity and temperature are graphically analyzed. The expressions of skin friction coefficient and local Nusselt number are presented and examined numerically.http://www.sciencedirect.com/science/article/pii/S1110016816301417Viscous dissipationThermal radiationOhmic dissipationWilliamson fluidUnsteady stretching
collection DOAJ
language English
format Article
sources DOAJ
author T. Hayat
Anum Shafiq
A. Alsaedi
spellingShingle T. Hayat
Anum Shafiq
A. Alsaedi
Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
Alexandria Engineering Journal
Viscous dissipation
Thermal radiation
Ohmic dissipation
Williamson fluid
Unsteady stretching
author_facet T. Hayat
Anum Shafiq
A. Alsaedi
author_sort T. Hayat
title Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
title_short Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
title_full Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
title_fullStr Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
title_full_unstemmed Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation
title_sort hydromagnetic boundary layer flow of williamson fluid in the presence of thermal radiation and ohmic dissipation
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2016-09-01
description This paper is concerned with the unsteady two-dimensional boundary layer flow of an incompressible Williamson fluid over an unsteady permeable stretching surface with thermal radiation. Effects of electric and magnetic fields are considered. The nonlinear boundary layer partial differential equations are first converted into the system of ordinary differential equations and then solved analytically. Effects of physical parameters such as Weissenberg number, unsteadiness parameter, suction parameter, magnetic parameter, electric parameter, radiation parameter, Prandtl number and Eckert number on the velocity and temperature are graphically analyzed. The expressions of skin friction coefficient and local Nusselt number are presented and examined numerically.
topic Viscous dissipation
Thermal radiation
Ohmic dissipation
Williamson fluid
Unsteady stretching
url http://www.sciencedirect.com/science/article/pii/S1110016816301417
work_keys_str_mv AT thayat hydromagneticboundarylayerflowofwilliamsonfluidinthepresenceofthermalradiationandohmicdissipation
AT anumshafiq hydromagneticboundarylayerflowofwilliamsonfluidinthepresenceofthermalradiationandohmicdissipation
AT aalsaedi hydromagneticboundarylayerflowofwilliamsonfluidinthepresenceofthermalradiationandohmicdissipation
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