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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Format: | Article |
Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2024-03-01
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Series: | East European Journal of Physics |
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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. |
first_indexed | 2024-03-07T14:32:37Z |
format | Article |
id | doaj.art-0e9f73ad5cea46cfab981894c7c7a38b |
institution | Directory Open Access Journal |
issn | 2312-4334 2312-4539 |
language | English |
last_indexed | 2024-03-07T14:32:37Z |
publishDate | 2024-03-01 |
publisher | V.N. Karazin Kharkiv National University Publishing |
record_format | Article |
series | East European Journal of Physics |
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 |
work_keys_str_mv | AT kankanarabha effectofinducedmagneticfieldonmhdflowbetweentwoparallelporousplatesatconstanttemperaturegradientinpresenceofinclinedmagneticfield AT saleemjabedalkhayer effectofinducedmagneticfieldonmhdflowbetweentwoparallelporousplatesatconstanttemperaturegradientinpresenceofinclinedmagneticfield AT shyamantachakraborty effectofinducedmagneticfieldonmhdflowbetweentwoparallelporousplatesatconstanttemperaturegradientinpresenceofinclinedmagneticfield |