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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Main Authors: Raja Mehmood Khan, Waqas Ashraf, Muhammad Sohail, Shao-Wen Yao, Wael Al-Kouz
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/8885749
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spelling 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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