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...
Main Authors: | , , , , , , , |
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Format: | Article |
Language: | English |
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AIP Publishing LLC
2019-05-01
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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. |
first_indexed | 2024-12-22T14:45:47Z |
format | Article |
id | doaj.art-0a9bc2a99d444570977141b4aae1cfa4 |
institution | Directory Open Access Journal |
issn | 2158-3226 |
language | English |
last_indexed | 2024-12-22T14:45:47Z |
publishDate | 2019-05-01 |
publisher | AIP Publishing LLC |
record_format | Article |
series | AIP Advances |
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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