The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium
In this study, we investigate the convective flow of a micropolar hybrid nanofluid through a vertical radiating permeable plate in a saturated porous medium. The impact of the presence or absence of the internal heat generation (IHG) in the medium is examined as well as the impacts of the magnetic f...
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doaj-73ba94a55a0a42529a546b4e6d4b4fda2021-06-01T01:22:13ZengMDPI AGFluids2311-55212021-05-01620220210.3390/fluids6060202The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous MediumA. Mahdy0E. R. El-Zahar1A. M. Rashad2W. Saad3H. S. Al-Juaydi4Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Aswan University, Sahary 81528, EgyptDepartment of Mathematics, Faculty of Science, Aswan University, Sahary 81528, EgyptDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaIn this study, we investigate the convective flow of a micropolar hybrid nanofluid through a vertical radiating permeable plate in a saturated porous medium. The impact of the presence or absence of the internal heat generation (IHG) in the medium is examined as well as the impacts of the magnetic field and thermal radiation. We apply similarity transformations to the non-dimensionalized equations and render them as a system of non-linear ODEs (Ordinary Differential Equations) subject to appropriate boundary conditions. This system of non-linear ODEs is solved by an adaptive mesh transformation Chebyshev differential quadrature method. The influence of the governing parameters on the temperature, microrotation and velocity is examined. The skin friction coefficient and the Nusselt number are tabulated. We determine that the skin friction coefficient and heat transport rate increase with the increment in the magnetic field. Moreover, the increment in the micropolarity and nanoparticle volume fraction enhances the skin friction coefficient and the Nusselt number. We also conclude that the IHG term improved the flow of the hybrid nanofluid. Finally, our results indicate that employing a hybrid nanofluid increases the heat transfer compared with that in pure water and a nanofluid.https://www.mdpi.com/2311-5521/6/6/202natural convectionmicropolarMHDhybrid nanofluidinternal heat generation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. Mahdy E. R. El-Zahar A. M. Rashad W. Saad H. S. Al-Juaydi |
spellingShingle |
A. Mahdy E. R. El-Zahar A. M. Rashad W. Saad H. S. Al-Juaydi The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium Fluids natural convection micropolar MHD hybrid nanofluid internal heat generation |
author_facet |
A. Mahdy E. R. El-Zahar A. M. Rashad W. Saad H. S. Al-Juaydi |
author_sort |
A. Mahdy |
title |
The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium |
title_short |
The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium |
title_full |
The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium |
title_fullStr |
The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium |
title_full_unstemmed |
The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium |
title_sort |
magneto-natural convection flow of a micropolar hybrid nanofluid over a vertical plate saturated in a porous medium |
publisher |
MDPI AG |
series |
Fluids |
issn |
2311-5521 |
publishDate |
2021-05-01 |
description |
In this study, we investigate the convective flow of a micropolar hybrid nanofluid through a vertical radiating permeable plate in a saturated porous medium. The impact of the presence or absence of the internal heat generation (IHG) in the medium is examined as well as the impacts of the magnetic field and thermal radiation. We apply similarity transformations to the non-dimensionalized equations and render them as a system of non-linear ODEs (Ordinary Differential Equations) subject to appropriate boundary conditions. This system of non-linear ODEs is solved by an adaptive mesh transformation Chebyshev differential quadrature method. The influence of the governing parameters on the temperature, microrotation and velocity is examined. The skin friction coefficient and the Nusselt number are tabulated. We determine that the skin friction coefficient and heat transport rate increase with the increment in the magnetic field. Moreover, the increment in the micropolarity and nanoparticle volume fraction enhances the skin friction coefficient and the Nusselt number. We also conclude that the IHG term improved the flow of the hybrid nanofluid. Finally, our results indicate that employing a hybrid nanofluid increases the heat transfer compared with that in pure water and a nanofluid. |
topic |
natural convection micropolar MHD hybrid nanofluid internal heat generation |
url |
https://www.mdpi.com/2311-5521/6/6/202 |
work_keys_str_mv |
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