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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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 |
_version_ |
1721408268109086720 |