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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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 |
work_keys_str_mv |
AT muhammadumar impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel AT amjadali impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel AT zainabbukhari impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel AT gullnazshahzadi impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel AT arshadsaleem impactoflorentzforceinthermallydevelopedpulsatilemicropolarfluidflowinaconstrictedchannel |
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1721528190216699904 |