Analytical solution for the flow of second grade fluid over a stretching sheet

This article addresses the phenomenon of boundary layer flow and heat transfer in respect of the motion of second grade viscous fluid over an unsteady stretchable surface. Optimal variational iteration method (OVIM) is employed to solve the governing differential equation. OVIM is the modified versi...

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Main Authors: Muhammad Rafiq, Muhammad Kamran, Naveed Ahmed, Syed Tauseef Mohyud-Din, Yasir Bashir, Sajjad Ali Haider, Shabieh Farwa, Madeeha Tahir
Format: Article
Language:English
Published: AIP Publishing LLC 2019-05-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5093158
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author Muhammad Rafiq
Muhammad Kamran
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yasir Bashir
Sajjad Ali Haider
Shabieh Farwa
Madeeha Tahir
author_facet Muhammad Rafiq
Muhammad Kamran
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yasir Bashir
Sajjad Ali Haider
Shabieh Farwa
Madeeha Tahir
author_sort Muhammad Rafiq
collection DOAJ
description This article addresses the phenomenon of boundary layer flow and heat transfer in respect of the motion of second grade viscous fluid over an unsteady stretchable surface. Optimal variational iteration method (OVIM) is employed to solve the governing differential equation. OVIM is the modified version of variational iteration method (VIM). The convergence of the obtained solution as well as the effect of pertinent parameters on the velocity components are discussed, tabulated, and graphed. Behaviour of coefficient of skin-friction is also tabulated and explained for different parameters. Comparison of residual errors sought via use of VIM and OVIM is also presented.
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spelling doaj.art-0a9bc2a99d444570977141b4aae1cfa42022-12-21T18:22:27ZengAIP Publishing LLCAIP Advances2158-32262019-05-0195055313055313-1110.1063/1.5093158036905ADVAnalytical solution for the flow of second grade fluid over a stretching sheetMuhammad Rafiq0Muhammad Kamran1Naveed Ahmed2Syed Tauseef Mohyud-Din3Yasir Bashir4Sajjad Ali Haider5Shabieh Farwa6Madeeha Tahir7Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, 47040, PakistanDepartment of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, 47040, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Taxila, 47040, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Taxila, 47040, PakistanDepartment of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, 47040, PakistanDepartment of Electrical & Computer Engineering, COMSATS University Islamabad, Wah Campus, Wah Cantt, 47040, PakistanDepartment of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt, 47040, PakistanDepartment of Mathematics, Government College University, Faisalabad, 38000, PakistanThis article addresses the phenomenon of boundary layer flow and heat transfer in respect of the motion of second grade viscous fluid over an unsteady stretchable surface. Optimal variational iteration method (OVIM) is employed to solve the governing differential equation. OVIM is the modified version of variational iteration method (VIM). The convergence of the obtained solution as well as the effect of pertinent parameters on the velocity components are discussed, tabulated, and graphed. Behaviour of coefficient of skin-friction is also tabulated and explained for different parameters. Comparison of residual errors sought via use of VIM and OVIM is also presented.http://dx.doi.org/10.1063/1.5093158
spellingShingle Muhammad Rafiq
Muhammad Kamran
Naveed Ahmed
Syed Tauseef Mohyud-Din
Yasir Bashir
Sajjad Ali Haider
Shabieh Farwa
Madeeha Tahir
Analytical solution for the flow of second grade fluid over a stretching sheet
AIP Advances
title Analytical solution for the flow of second grade fluid over a stretching sheet
title_full Analytical solution for the flow of second grade fluid over a stretching sheet
title_fullStr Analytical solution for the flow of second grade fluid over a stretching sheet
title_full_unstemmed Analytical solution for the flow of second grade fluid over a stretching sheet
title_short Analytical solution for the flow of second grade fluid over a stretching sheet
title_sort analytical solution for the flow of second grade fluid over a stretching sheet
url http://dx.doi.org/10.1063/1.5093158
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