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MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis

Purpose – This study aims to perform a stability analysis on a steady magnetohydrodynamic (MHD) mixed convection boundary-layer stagnation-point flow of an incompressible, viscous and electrically conducting fluid over a vertical flat plate. The effect of induced magnetic field is also considered. D...

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Main Authors: Md. Ali, Fadzilah, Naganthran, Kohilavani, Nazar, Roslinda, Pop, Ioan
Format: Article
Language:English
Published: Emerald Publishing 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86742/1/MHD%20mixed%20convection%20.pdf
http://psasir.upm.edu.my/id/eprint/86742/
https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0436/full/html
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spelling my.upm.eprints.867422021-10-08T08:12:51Z http://psasir.upm.edu.my/id/eprint/86742/ MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis Md. Ali, Fadzilah Naganthran, Kohilavani Nazar, Roslinda Pop, Ioan Purpose – This study aims to perform a stability analysis on a steady magnetohydrodynamic (MHD) mixed convection boundary-layer stagnation-point flow of an incompressible, viscous and electrically conducting fluid over a vertical flat plate. The effect of induced magnetic field is also considered. Design/methodology/approach – The governing boundary layer equations are transformed into a system of ordinary differential equations using the similarity transformations. The system is then solved numerically using the “bvp4c” function in MATLAB. Findings – Dual solutions are found to exist for a certain range of the buoyancy parameter for both the assisting and opposing flows. The results from the stability analysis showed that the first solution (upper branch) is stable and valid physically, while the second solution (lower branch) is unstable. Practical implications – This problem is important in many metallurgical processes, namely, drawing, annealing and tinning of copper wires. The results obtained are very useful for researchers to determine which solution is physically stable, whereby mathematically more than one solution exists for the skin friction coefficient and the heat transfer characteristics. Originality/value – The present results of the stability analysis are original and new for the problem of MHD mixed convection stagnation-point flow of viscous conducting fluid over a vertical flat plate, with the effect of induced magnetic field. Emerald Publishing 2020-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86742/1/MHD%20mixed%20convection%20.pdf Md. Ali, Fadzilah and Naganthran, Kohilavani and Nazar, Roslinda and Pop, Ioan (2020) MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis. International Journal of Numerical Methods for Heat & Fluid Flow, 30 (11). 4697 - 4710. ISSN 0961-5539; ESSN: 1758-6585 https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0436/full/html 10.1108/HFF-11-2016-0436
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Purpose – This study aims to perform a stability analysis on a steady magnetohydrodynamic (MHD) mixed convection boundary-layer stagnation-point flow of an incompressible, viscous and electrically conducting fluid over a vertical flat plate. The effect of induced magnetic field is also considered. Design/methodology/approach – The governing boundary layer equations are transformed into a system of ordinary differential equations using the similarity transformations. The system is then solved numerically using the “bvp4c” function in MATLAB. Findings – Dual solutions are found to exist for a certain range of the buoyancy parameter for both the assisting and opposing flows. The results from the stability analysis showed that the first solution (upper branch) is stable and valid physically, while the second solution (lower branch) is unstable. Practical implications – This problem is important in many metallurgical processes, namely, drawing, annealing and tinning of copper wires. The results obtained are very useful for researchers to determine which solution is physically stable, whereby mathematically more than one solution exists for the skin friction coefficient and the heat transfer characteristics. Originality/value – The present results of the stability analysis are original and new for the problem of MHD mixed convection stagnation-point flow of viscous conducting fluid over a vertical flat plate, with the effect of induced magnetic field.
format Article
author Md. Ali, Fadzilah
Naganthran, Kohilavani
Nazar, Roslinda
Pop, Ioan
spellingShingle Md. Ali, Fadzilah
Naganthran, Kohilavani
Nazar, Roslinda
Pop, Ioan
MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
author_facet Md. Ali, Fadzilah
Naganthran, Kohilavani
Nazar, Roslinda
Pop, Ioan
author_sort Md. Ali, Fadzilah
title MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
title_short MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
title_full MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
title_fullStr MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
title_full_unstemmed MHD mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
title_sort mhd mixed convection boundary layer stagnation-point flow on a vertical surface with induced magnetic field: a stability analysis
publisher Emerald Publishing
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/86742/1/MHD%20mixed%20convection%20.pdf
http://psasir.upm.edu.my/id/eprint/86742/
https://www.emerald.com/insight/content/doi/10.1108/HFF-11-2016-0436/full/html
_version_ 1713201296940466176
score 13.211869

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