On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow
In this paper, the concept of microstructural slip is introduced in the flow of micropolar fluids pertinent to model various physical situations. The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. The system of govern...
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2020/8885749 |
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doaj-5823bf1b43a74a43bcec5ffbd094bc9f2020-11-25T04:06:42ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88857498885749On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer FlowRaja Mehmood Khan0Waqas Ashraf1Muhammad Sohail2Shao-Wen Yao3Wael Al-Kouz4Department of Mathematics, HIT Degree College Taxila Cantt, Taxila 47070, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, ChinaMechanical and Maintenance Engineering Department, German Jordanian University, Amman, JordanIn this paper, the concept of microstructural slip is introduced in the flow of micropolar fluids pertinent to model various physical situations. The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. The system of governing equations is implemented using MATLAB bvp4c function along with the initial-boundary conditions. The code is validated by comparing the computed results in the limiting case with the available literature. Influence of microstructural slip on the skin friction coefficient and Nusselt number along with hydrodynamic and thermal boundary layer profiles is studied and discussed. It is found that, in the presence of microstructural slip, the microrotational velocity boundary layer thickness decreases up to a maximum of 37.5% in its value, in comparison to the case where there is no microstructural slip effect. The results predict that, in the presence of first-order translational slip, the microrotations have shown counterrotational phenomena in comparison to the case where there is no translational slip effect. Moreover, second-order translational slip results in declining the microrotational velocity and associated layer thickness.http://dx.doi.org/10.1155/2020/8885749 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Raja Mehmood Khan Waqas Ashraf Muhammad Sohail Shao-Wen Yao Wael Al-Kouz |
spellingShingle |
Raja Mehmood Khan Waqas Ashraf Muhammad Sohail Shao-Wen Yao Wael Al-Kouz On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow Complexity |
author_facet |
Raja Mehmood Khan Waqas Ashraf Muhammad Sohail Shao-Wen Yao Wael Al-Kouz |
author_sort |
Raja Mehmood Khan |
title |
On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow |
title_short |
On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow |
title_full |
On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow |
title_fullStr |
On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow |
title_full_unstemmed |
On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow |
title_sort |
on behavioral response of microstructural slip on the development of magnetohydrodynamic micropolar boundary layer flow |
publisher |
Hindawi-Wiley |
series |
Complexity |
issn |
1076-2787 1099-0526 |
publishDate |
2020-01-01 |
description |
In this paper, the concept of microstructural slip is introduced in the flow of micropolar fluids pertinent to model various physical situations. The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. The system of governing equations is implemented using MATLAB bvp4c function along with the initial-boundary conditions. The code is validated by comparing the computed results in the limiting case with the available literature. Influence of microstructural slip on the skin friction coefficient and Nusselt number along with hydrodynamic and thermal boundary layer profiles is studied and discussed. It is found that, in the presence of microstructural slip, the microrotational velocity boundary layer thickness decreases up to a maximum of 37.5% in its value, in comparison to the case where there is no microstructural slip effect. The results predict that, in the presence of first-order translational slip, the microrotations have shown counterrotational phenomena in comparison to the case where there is no translational slip effect. Moreover, second-order translational slip results in declining the microrotational velocity and associated layer thickness. |
url |
http://dx.doi.org/10.1155/2020/8885749 |
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