Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition
Here, in this research article, we have investigated an incompressible viscoelastic fluid flow over a uniform stretching surface sheet along with slip boundary conditions in the presence of porous media. The partial differential equations which govern the fluid flow are changed into ordinary differe...
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Format: | Article |
Language: | English |
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Wiley
2019-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2019/3121896 |
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author | Haroon Ur Rasheed Zeeshan Khan Saeed Islam Ilyas Khan Juan L. G. Guirao Waris Khan |
author_facet | Haroon Ur Rasheed Zeeshan Khan Saeed Islam Ilyas Khan Juan L. G. Guirao Waris Khan |
author_sort | Haroon Ur Rasheed |
collection | DOAJ |
description | Here, in this research article, we have investigated an incompressible viscoelastic fluid flow over a uniform stretching surface sheet along with slip boundary conditions in the presence of porous media. The partial differential equations which govern the fluid flow are changed into ordinary differential equations through suitable similarity transformation variables. Finally, the transformed ordinary differential equations are solved with the help of a seminumerical technique known as the homotopy analysis method (HAM). The uniqueness of our study is not only to analyze and carry out the effect of the elastic parameter but also to account for viscous dissipation which is important in the case of optically transparent flow. The novel effects for the parameters which affect the flow and heat transfer, such as the Eckert number, porous medium parameter, and the velocity slip parameter, are studied through graphs. Also, the convergence analysis for the proposed method is addressed. Additionally, for the sake of validation, the present work is also compared with the already published work and an outstanding agreement is found. |
format | Article |
id | doaj-art-7f7482a3d9b5485ea7540d84abd9a3f2 |
institution | Kabale University |
issn | 1076-2787 1099-0526 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Complexity |
spelling | doaj-art-7f7482a3d9b5485ea7540d84abd9a3f22025-02-03T05:53:57ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/31218963121896Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip ConditionHaroon Ur Rasheed0Zeeshan Khan1Saeed Islam2Ilyas Khan3Juan L. G. Guirao4Waris Khan5Sarhad University of Science and Information Technology, Peshawar, KPK 25000, PakistanSarhad University of Science and Information Technology, Peshawar, KPK 25000, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan, KPK 23000, PakistanFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamDepartmento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Hospital de Marina, 30203 Cartagena, Region de Murcia, SpainInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanHere, in this research article, we have investigated an incompressible viscoelastic fluid flow over a uniform stretching surface sheet along with slip boundary conditions in the presence of porous media. The partial differential equations which govern the fluid flow are changed into ordinary differential equations through suitable similarity transformation variables. Finally, the transformed ordinary differential equations are solved with the help of a seminumerical technique known as the homotopy analysis method (HAM). The uniqueness of our study is not only to analyze and carry out the effect of the elastic parameter but also to account for viscous dissipation which is important in the case of optically transparent flow. The novel effects for the parameters which affect the flow and heat transfer, such as the Eckert number, porous medium parameter, and the velocity slip parameter, are studied through graphs. Also, the convergence analysis for the proposed method is addressed. Additionally, for the sake of validation, the present work is also compared with the already published work and an outstanding agreement is found.http://dx.doi.org/10.1155/2019/3121896 |
spellingShingle | Haroon Ur Rasheed Zeeshan Khan Saeed Islam Ilyas Khan Juan L. G. Guirao Waris Khan Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition Complexity |
title | Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition |
title_full | Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition |
title_fullStr | Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition |
title_full_unstemmed | Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition |
title_short | Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition |
title_sort | investigation of two dimensional viscoelastic fluid with nonuniform heat generation over permeable stretching sheet with slip condition |
url | http://dx.doi.org/10.1155/2019/3121896 |
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