Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study

From transportation to energy production, environmental protection, and medical advancements, vortices are known to influence everything. Therefore, a remarkable aspect of engineering and scientific research in these areas is the prediction, control, and optimization of such vortices. Motivated by t...

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Main Authors: Shabbir Ahmad, Hidemasa Takana, Humberto Garcia Castellanos, Khursheed Muzammil, Saiful Islam, Yashar Aryanfar, Mohammad Arsalan Khan, Mohammad Mursaleen, Ahmed S. Hendy
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X23010225
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author Shabbir Ahmad
Hidemasa Takana
Humberto Garcia Castellanos
Khursheed Muzammil
Saiful Islam
Yashar Aryanfar
Mohammad Arsalan Khan
Mohammad Mursaleen
Ahmed S. Hendy
author_facet Shabbir Ahmad
Hidemasa Takana
Humberto Garcia Castellanos
Khursheed Muzammil
Saiful Islam
Yashar Aryanfar
Mohammad Arsalan Khan
Mohammad Mursaleen
Ahmed S. Hendy
author_sort Shabbir Ahmad
collection DOAJ
description From transportation to energy production, environmental protection, and medical advancements, vortices are known to influence everything. Therefore, a remarkable aspect of engineering and scientific research in these areas is the prediction, control, and optimization of such vortices. Motivated by these potential applications, we numerically study ‘how confined magnetic fields may give rise to new vortices in the micropolar flow inside a square cavity, by employing the Alternating Direction Implicit approach. Unlike most of the previous studies, we do not assume a uniform magnetic field throughout the flow domain, which is more realistic. Instead, we introduce several confined magnetic fields in the form of multiple horizontal and vertical strips. Further, we have applied the theory of micropolar fluids proposed by Eringen to model the micropolar fluid and visualize the flow patterns around the magnetic strips in the flow regime. Using our self-developed MATLAB codes, we examine how various parameters, such as the magnetic field strength, the number and position of the strips, and the micropolar parameter affect the flow and thermal properties of the micropolar fluid. The findings of this study will contribute to a better understanding of the vortex generation and heat transfer enhancement of micropolar fluids in lid-driven cavities under localized magnetic fields. The study reveals that both the Nusselt number (Nu) and skin friction (CfRe) coefficient decrease by 45% and 1% respectively with a magnetic number (Mn) for a fixed Reynolds number (Re). However, increasing the Reynolds number at a fixed magnetic number increases the Nusselt number (909%) and skin friction coefficient (7%). This means that the higher flow velocity translates into increased wall shear stress and heat transfer, which destabilizes the flow and may cause turbulence. This knowledge can be used to develop new and improved micropolar fluid-based technologies for a variety of applications, such as energy production, medical devices, and microfluidics.
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spelling doaj.art-79f29cc21024419283d0631fbe49b5682024-01-12T04:56:20ZengElsevierCase Studies in Thermal Engineering2214-157X2024-01-0153103716Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case studyShabbir Ahmad0Hidemasa Takana1Humberto Garcia Castellanos2Khursheed Muzammil3Saiful Islam4Yashar Aryanfar5Mohammad Arsalan Khan6Mohammad Mursaleen7Ahmed S. Hendy8Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, China; Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of Engineering and Technology, Multan, 60000, Pakistan; Corresponding author. Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074, China.Institute of Fluid Science, Tohoku University, Sendai, 980-8577, JapanEngineering Sciences, Tecnológico Nacional de México IT Ciudad Juárez, Juarez, Chihuahua, MexicoDepartment of Public Health, College of Applied Medical Sciences, Khamis Mushait Campus, King Khalid University, Abha, Saudi ArabiaCivil Engineering Department, College of Engineering, King Khalid University, Abha, 61421, Saudi ArabiaState Key Laboratory of Hydrology-Water Recourses and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, 210098, Jiangsu, China; Department of Electric Engineering and Computation, Autonomous University of Ciudad Juárez, Av. Del Charro 450 Norte. Col. Partido Romero. Juárez, Chihuahua, MéxicoGeomechanics and Geotechnics Group, Kiel University, 24118, Kiel, Germany; Department of Civil Engineering, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh, 202001, India; Corresponding author. Geomechanics and Geotechnics Group, Kiel University, 24118, Kiel, Germany.China Medical University Hospital, China Medical University (Taiwan), Taichung, 40402, Taiwan; Corresponding author. China Medical University Hospital, China Medical University (Taiwan), Taichung, 40402, Taiwan.Department of Computational Mathematics and Computer Science, Institute of Natural Sciences and Mathematics, Ural Federal University, 19 Mira St., Yekaterinburg, 620002, RussiaFrom transportation to energy production, environmental protection, and medical advancements, vortices are known to influence everything. Therefore, a remarkable aspect of engineering and scientific research in these areas is the prediction, control, and optimization of such vortices. Motivated by these potential applications, we numerically study ‘how confined magnetic fields may give rise to new vortices in the micropolar flow inside a square cavity, by employing the Alternating Direction Implicit approach. Unlike most of the previous studies, we do not assume a uniform magnetic field throughout the flow domain, which is more realistic. Instead, we introduce several confined magnetic fields in the form of multiple horizontal and vertical strips. Further, we have applied the theory of micropolar fluids proposed by Eringen to model the micropolar fluid and visualize the flow patterns around the magnetic strips in the flow regime. Using our self-developed MATLAB codes, we examine how various parameters, such as the magnetic field strength, the number and position of the strips, and the micropolar parameter affect the flow and thermal properties of the micropolar fluid. The findings of this study will contribute to a better understanding of the vortex generation and heat transfer enhancement of micropolar fluids in lid-driven cavities under localized magnetic fields. The study reveals that both the Nusselt number (Nu) and skin friction (CfRe) coefficient decrease by 45% and 1% respectively with a magnetic number (Mn) for a fixed Reynolds number (Re). However, increasing the Reynolds number at a fixed magnetic number increases the Nusselt number (909%) and skin friction coefficient (7%). This means that the higher flow velocity translates into increased wall shear stress and heat transfer, which destabilizes the flow and may cause turbulence. This knowledge can be used to develop new and improved micropolar fluid-based technologies for a variety of applications, such as energy production, medical devices, and microfluidics.http://www.sciencedirect.com/science/article/pii/S2214157X23010225Magnetic fieldMicropolar fluidsAlternating direction implicit approachReynolds number
spellingShingle Shabbir Ahmad
Hidemasa Takana
Humberto Garcia Castellanos
Khursheed Muzammil
Saiful Islam
Yashar Aryanfar
Mohammad Arsalan Khan
Mohammad Mursaleen
Ahmed S. Hendy
Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
Case Studies in Thermal Engineering
Magnetic field
Micropolar fluids
Alternating direction implicit approach
Reynolds number
title Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
title_full Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
title_fullStr Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
title_full_unstemmed Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
title_short Uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips: A novel case study
title_sort uncovering the mystery of the vortex dynamics in a micropolar fluid with multiple magnetic field strips a novel case study
topic Magnetic field
Micropolar fluids
Alternating direction implicit approach
Reynolds number
url http://www.sciencedirect.com/science/article/pii/S2214157X23010225
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