Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field

The paper studies effect of induced magnetic field on laminar convection flow of a viscous electrically conducting incompressible fluid between two parallel porous plates at constant temperature gradient in presence of a uniform inclined magnetic field. An angle (θ) is formed with the vertical line...

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Main Authors: Kankana Rabha, Saleem Jabed Al Khayer, Shyamanta Chakraborty
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2024-03-01
Series:East European Journal of Physics
Subjects:
Online Access:https://periodicals.karazin.ua/eejp/article/view/22875
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author Kankana Rabha
Saleem Jabed Al Khayer
Shyamanta Chakraborty
author_facet Kankana Rabha
Saleem Jabed Al Khayer
Shyamanta Chakraborty
author_sort Kankana Rabha
collection DOAJ
description The paper studies effect of induced magnetic field on laminar convection flow of a viscous electrically conducting incompressible fluid between two parallel porous plates at constant temperature gradient in presence of a uniform inclined magnetic field. An angle (θ) is formed with the vertical line by applying a magnetic field in that direction and field is strong enough to induce another field along the line of flow. Using the proper similarity transformations, the flow equations are converted into ordinary differential equations, which are then numerically solved by using MATLAB's bvp4c solver. Plotting of the graphs allows one to examine the effects of several critical parameters such as Hartmann number, Darcy number, Magnetic Reynolds number, Prandtl number, and Field inclination on velocity field, induced magnetic field, temperature field at the plates. The acquired results demonstrate that the flow system is effectively influenced by the field inclination, the magnetic parameter, and the plate porosity. The rise in field inclination leads to an increase in magnetic drag force.
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spelling doaj.art-0e9f73ad5cea46cfab981894c7c7a38b2024-03-05T22:41:10ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392024-03-01126226810.26565/2312-4334-2024-1-2222875Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic FieldKankana Rabha0Saleem Jabed Al Khayer1Shyamanta Chakraborty2Department of Mathematics, Gauhati University, Guwahati, Assam, IndiaDepartment of Mathematics, Gauhati University, Guwahati, Assam, IndiaUGC-HRDC, Gauhati University, Guwahati, Assam, IndiaThe paper studies effect of induced magnetic field on laminar convection flow of a viscous electrically conducting incompressible fluid between two parallel porous plates at constant temperature gradient in presence of a uniform inclined magnetic field. An angle (θ) is formed with the vertical line by applying a magnetic field in that direction and field is strong enough to induce another field along the line of flow. Using the proper similarity transformations, the flow equations are converted into ordinary differential equations, which are then numerically solved by using MATLAB's bvp4c solver. Plotting of the graphs allows one to examine the effects of several critical parameters such as Hartmann number, Darcy number, Magnetic Reynolds number, Prandtl number, and Field inclination on velocity field, induced magnetic field, temperature field at the plates. The acquired results demonstrate that the flow system is effectively influenced by the field inclination, the magnetic parameter, and the plate porosity. The rise in field inclination leads to an increase in magnetic drag force.https://periodicals.karazin.ua/eejp/article/view/22875induced magnetic fieldfree convectionporous platemhdtemperature gradient
spellingShingle Kankana Rabha
Saleem Jabed Al Khayer
Shyamanta Chakraborty
Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
East European Journal of Physics
induced magnetic field
free convection
porous plate
mhd
temperature gradient
title Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
title_full Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
title_fullStr Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
title_full_unstemmed Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
title_short Effect of Induced Magnetic Field on MHD Flow Between Two Parallel Porous Plates at Constant Temperature Gradient in Presence of Inclined Magnetic Field
title_sort effect of induced magnetic field on mhd flow between two parallel porous plates at constant temperature gradient in presence of inclined magnetic field
topic induced magnetic field
free convection
porous plate
mhd
temperature gradient
url https://periodicals.karazin.ua/eejp/article/view/22875
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AT saleemjabedalkhayer effectofinducedmagneticfieldonmhdflowbetweentwoparallelporousplatesatconstanttemperaturegradientinpresenceofinclinedmagneticfield
AT shyamantachakraborty effectofinducedmagneticfieldonmhdflowbetweentwoparallelporousplatesatconstanttemperaturegradientinpresenceofinclinedmagneticfield