Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption

The problem of unsteady laminar, two-dimensional hydromagnetic natural convection heat transfer in a concentric horizontal cylindrical annulus filled with a fluid-saturated porous medium in the presence of a transverse magnetic field and fluid heal generation effects is studied numerically. It is as...

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Main Authors: Belabid Jabrane, Belhouideg Soufiane
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:MATEC Web of Conferences
Online Access:https://www.matec-conferences.org/articles/matecconf/pdf/2020/03/matecconf_icome2017-2018_01005.pdf
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author Belabid Jabrane
Belhouideg Soufiane
author_facet Belabid Jabrane
Belhouideg Soufiane
author_sort Belabid Jabrane
collection DOAJ
description The problem of unsteady laminar, two-dimensional hydromagnetic natural convection heat transfer in a concentric horizontal cylindrical annulus filled with a fluid-saturated porous medium in the presence of a transverse magnetic field and fluid heal generation effects is studied numerically. It is assumed that the inner and outer walls of the cylindrical annulus are maintained at uniform and constant temperatures Ti and To respectively. The model consists of the heat equation and the equations of motion under the Darcy law. The derived problem with the stream function-temperature formulation is solved numerically using the alternating direction implicit method. This investigation concerns the effect of magnetic field inclination angle, Hartmann number and heat generation on the heat transfer and the flow pattern. The obtained numerical results are presented graphically in terms of streamlines and isotherms. It was found that the heat transfer mechanisms and the flow characteristics depend strongly on the magnetic field inclination angle, Hartmann number and heat generation..
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spelling doaj.art-4aa62c0ab65f438fb752d07247d976db2022-12-21T18:40:52ZengEDP SciencesMATEC Web of Conferences2261-236X2020-01-013070100510.1051/matecconf/202030701005matecconf_icome2017-2018_01005Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorptionBelabid JabraneBelhouideg SoufianeThe problem of unsteady laminar, two-dimensional hydromagnetic natural convection heat transfer in a concentric horizontal cylindrical annulus filled with a fluid-saturated porous medium in the presence of a transverse magnetic field and fluid heal generation effects is studied numerically. It is assumed that the inner and outer walls of the cylindrical annulus are maintained at uniform and constant temperatures Ti and To respectively. The model consists of the heat equation and the equations of motion under the Darcy law. The derived problem with the stream function-temperature formulation is solved numerically using the alternating direction implicit method. This investigation concerns the effect of magnetic field inclination angle, Hartmann number and heat generation on the heat transfer and the flow pattern. The obtained numerical results are presented graphically in terms of streamlines and isotherms. It was found that the heat transfer mechanisms and the flow characteristics depend strongly on the magnetic field inclination angle, Hartmann number and heat generation..https://www.matec-conferences.org/articles/matecconf/pdf/2020/03/matecconf_icome2017-2018_01005.pdf
spellingShingle Belabid Jabrane
Belhouideg Soufiane
Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
MATEC Web of Conferences
title Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
title_full Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
title_fullStr Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
title_full_unstemmed Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
title_short Hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
title_sort hydromagnetic natural convection from a horizontal porous annulus with heat generation or absorption
url https://www.matec-conferences.org/articles/matecconf/pdf/2020/03/matecconf_icome2017-2018_01005.pdf
work_keys_str_mv AT belabidjabrane hydromagneticnaturalconvectionfromahorizontalporousannuluswithheatgenerationorabsorption
AT belhouidegsoufiane hydromagneticnaturalconvectionfromahorizontalporousannuluswithheatgenerationorabsorption