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...

Full description

Saved in:
Bibliographic Details
Main Authors: Haroon Ur Rasheed, Zeeshan Khan, Saeed Islam, Ilyas Khan, Juan L. G. Guirao, Waris Khan
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/3121896
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832553477452070912
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
work_keys_str_mv AT haroonurrasheed investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition
AT zeeshankhan investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition
AT saeedislam investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition
AT ilyaskhan investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition
AT juanlgguirao investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition
AT wariskhan investigationoftwodimensionalviscoelasticfluidwithnonuniformheatgenerationoverpermeablestretchingsheetwithslipcondition