Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel

This work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and the Lorentz force. A finite difference-based flow solver, on a Cartesian grid, was used for the numerical solution after transforming the governing equations into the vo...

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Main Authors: Muhammad Umar, Amjad Ali, Zainab Bukhari, Gullnaz Shahzadi, Arshad Saleem
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/8/2173
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spelling doaj-398d938820fc4918909ceb66f0f8b3702021-04-13T23:06:21ZengMDPI AGEnergies1996-10732021-04-01142173217310.3390/en14082173Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted ChannelMuhammad Umar0Amjad Ali1Zainab Bukhari2Gullnaz Shahzadi3Arshad Saleem4Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanDepartment of Mechanical Engineering, École de Technologie Supérieure ÉTS, 1100 Notre-Dame W, Montreal, QC H3C 1K3, CanadaCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, PakistanThis work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and the Lorentz force. A finite difference-based flow solver, on a Cartesian grid, was used for the numerical solution after transforming the governing equations into the vorticity-stream function form. The impact of various emerging parameters on the wall shear stress, axial velocity, micro-rotation velocity and temperature profiles is discussed in this paper. The temperature profile is observed to have an inciting trend towards the thermal radiation, whereas it has a declining trend towards the Hartman and Prandtl numbers. The axial velocity profile has an inciting trend towards the Hartman number, whereas it has a declining trend towards the micropolar parameter and Reynolds number. The micro-rotation velocity escalates with the micropolar parameter and Hartman number, whereas it de-escalates with the Reynolds number. The Nusselt number is observed to have a direct relationship with the Prandtl and Reynolds numbers.https://www.mdpi.com/1996-1073/14/8/2173micropolar fluidconstricted channelpulsatile flowthermal radiationLorentz forceheat transfer
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Umar
Amjad Ali
Zainab Bukhari
Gullnaz Shahzadi
Arshad Saleem
spellingShingle Muhammad Umar
Amjad Ali
Zainab Bukhari
Gullnaz Shahzadi
Arshad Saleem
Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
Energies
micropolar fluid
constricted channel
pulsatile flow
thermal radiation
Lorentz force
heat transfer
author_facet Muhammad Umar
Amjad Ali
Zainab Bukhari
Gullnaz Shahzadi
Arshad Saleem
author_sort Muhammad Umar
title Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
title_short Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
title_full Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
title_fullStr Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
title_full_unstemmed Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel
title_sort impact of lorentz force in thermally developed pulsatile micropolar fluid flow in a constricted channel
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2021-04-01
description This work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and the Lorentz force. A finite difference-based flow solver, on a Cartesian grid, was used for the numerical solution after transforming the governing equations into the vorticity-stream function form. The impact of various emerging parameters on the wall shear stress, axial velocity, micro-rotation velocity and temperature profiles is discussed in this paper. The temperature profile is observed to have an inciting trend towards the thermal radiation, whereas it has a declining trend towards the Hartman and Prandtl numbers. The axial velocity profile has an inciting trend towards the Hartman number, whereas it has a declining trend towards the micropolar parameter and Reynolds number. The micro-rotation velocity escalates with the micropolar parameter and Hartman number, whereas it de-escalates with the Reynolds number. The Nusselt number is observed to have a direct relationship with the Prandtl and Reynolds numbers.
topic micropolar fluid
constricted channel
pulsatile flow
thermal radiation
Lorentz force
heat transfer
url https://www.mdpi.com/1996-1073/14/8/2173
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AT gullnazshahzadi impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel
AT arshadsaleem impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel
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