On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet

In this article, an analysis is made on the axisymmetric flow and heat transfer of the Cross fluid over a radially stretching sheet. The present study provides with the boundary layer equations of the Cross fluid in cylindrical polar co-ordinates. The modelled momentum and energy equations are furth...

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Main Authors: Masood Khan, Mehwish Manzur, Masood ur Rahman
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717309749
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spelling doaj-c3ee525f701a441680fba0471cac4c992020-11-24T21:58:32ZengElsevierResults in Physics2211-37972017-01-01737673772On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheetMasood Khan0Mehwish Manzur1Masood ur Rahman2Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanCorresponding author.; Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, PakistanIn this article, an analysis is made on the axisymmetric flow and heat transfer of the Cross fluid over a radially stretching sheet. The present study provides with the boundary layer equations of the Cross fluid in cylindrical polar co-ordinates. The modelled momentum and energy equations are further simplified into non-linear ordinary differential equations by applying suitable similarity transformations. The system of equation is then numerically solved by the help of well-known shooting technique. The velocity and temperature profiles are plotted for some values of the governing parameters such as power-law index, local Weissenberg number and the Prandtl number. It is found that growing values of the power-law index elevated the momentum boundary layer structures while the thermal boundary layer thickness lessened correspondingly. Further, the numerical values of the local skin friction coefficient and the local Nusselt number are tabulated for several set of physical parameters. An outstanding agreement is observed by comparing the present results with the previously reported results in the literature as a special case. Keywords: Cross fluid, Axisymmetric flow, Stretching sheet, Heat transferhttp://www.sciencedirect.com/science/article/pii/S2211379717309749
collection DOAJ
language English
format Article
sources DOAJ
author Masood Khan
Mehwish Manzur
Masood ur Rahman
spellingShingle Masood Khan
Mehwish Manzur
Masood ur Rahman
On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
Results in Physics
author_facet Masood Khan
Mehwish Manzur
Masood ur Rahman
author_sort Masood Khan
title On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
title_short On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
title_full On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
title_fullStr On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
title_full_unstemmed On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
title_sort on axisymmetric flow and heat transfer of cross fluid over a radially stretching sheet
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2017-01-01
description In this article, an analysis is made on the axisymmetric flow and heat transfer of the Cross fluid over a radially stretching sheet. The present study provides with the boundary layer equations of the Cross fluid in cylindrical polar co-ordinates. The modelled momentum and energy equations are further simplified into non-linear ordinary differential equations by applying suitable similarity transformations. The system of equation is then numerically solved by the help of well-known shooting technique. The velocity and temperature profiles are plotted for some values of the governing parameters such as power-law index, local Weissenberg number and the Prandtl number. It is found that growing values of the power-law index elevated the momentum boundary layer structures while the thermal boundary layer thickness lessened correspondingly. Further, the numerical values of the local skin friction coefficient and the local Nusselt number are tabulated for several set of physical parameters. An outstanding agreement is observed by comparing the present results with the previously reported results in the literature as a special case. Keywords: Cross fluid, Axisymmetric flow, Stretching sheet, Heat transfer
url http://www.sciencedirect.com/science/article/pii/S2211379717309749
work_keys_str_mv AT masoodkhan onaxisymmetricflowandheattransferofcrossfluidoveraradiallystretchingsheet
AT mehwishmanzur onaxisymmetricflowandheattransferofcrossfluidoveraradiallystretchingsheet
AT masoodurrahman onaxisymmetricflowandheattransferofcrossfluidoveraradiallystretchingsheet
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