Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity

The purpose of present analysis is to examine the effects of temperature dependent viscosity and thermal conductivity on MHD stagnation point flow over a stretching cylinder. The momentum and the temperature equations are modeled by using tangent hyperbolic fluid and the effect of viscous dissipatio...

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Main Authors: T. Salahuddin, M. Y. Malik, Arif Hussain, S. Bilal, M. Awais
Format: Article
Language:English
Published: AIP Publishing LLC 2015-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4937366
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spelling doaj-5acda28ad0cf4e1aa216683a5fbafd9e2020-11-24T22:25:23ZengAIP Publishing LLCAIP Advances2158-32262015-12-01512127103127103-1410.1063/1.4937366005512ADVEffects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosityT. Salahuddin0M. Y. Malik1Arif Hussain2S. Bilal3M. Awais4Department of Mathematics, Quaid-i-Azam University Islamabad, 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University Islamabad, 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University Islamabad, 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University Islamabad, 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University Islamabad, 44000, PakistanThe purpose of present analysis is to examine the effects of temperature dependent viscosity and thermal conductivity on MHD stagnation point flow over a stretching cylinder. The momentum and the temperature equations are modeled by using tangent hyperbolic fluid and the effect of viscous dissipation is also considered. The requisite partial differential equations are metamorphosed into ordinary differential equations by using similarity transformations. The succeeding ordinary differential equations are solved by using shooting method. The physical behavior of non-dimensional parameters for momentum and temperature profiles is deliberated through graphs. The numerical values of skin friction coefficient and local Nusselt number are calculated in order to recognize the behavior of fluid near the surface. The comparison with previous literature is completed in order to check the accuracy of the present work. It is found the velocity reduces with increasing power law index, Weissenberg number, Hartmann number and variable viscosity parameter. With the increasing values of curvature parameter, velocity is found to increase. Variable thermal conductivity parameter and Prandtl number shows opposite behavior for temperature profile.http://dx.doi.org/10.1063/1.4937366
collection DOAJ
language English
format Article
sources DOAJ
author T. Salahuddin
M. Y. Malik
Arif Hussain
S. Bilal
M. Awais
spellingShingle T. Salahuddin
M. Y. Malik
Arif Hussain
S. Bilal
M. Awais
Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
AIP Advances
author_facet T. Salahuddin
M. Y. Malik
Arif Hussain
S. Bilal
M. Awais
author_sort T. Salahuddin
title Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
title_short Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
title_full Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
title_fullStr Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
title_full_unstemmed Effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
title_sort effects of transverse magnetic field with variable thermal conductivity on tangent hyperbolic fluid with exponentially varying viscosity
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2015-12-01
description The purpose of present analysis is to examine the effects of temperature dependent viscosity and thermal conductivity on MHD stagnation point flow over a stretching cylinder. The momentum and the temperature equations are modeled by using tangent hyperbolic fluid and the effect of viscous dissipation is also considered. The requisite partial differential equations are metamorphosed into ordinary differential equations by using similarity transformations. The succeeding ordinary differential equations are solved by using shooting method. The physical behavior of non-dimensional parameters for momentum and temperature profiles is deliberated through graphs. The numerical values of skin friction coefficient and local Nusselt number are calculated in order to recognize the behavior of fluid near the surface. The comparison with previous literature is completed in order to check the accuracy of the present work. It is found the velocity reduces with increasing power law index, Weissenberg number, Hartmann number and variable viscosity parameter. With the increasing values of curvature parameter, velocity is found to increase. Variable thermal conductivity parameter and Prandtl number shows opposite behavior for temperature profile.
url http://dx.doi.org/10.1063/1.4937366
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