Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer

In this paper, we investigate magnetohydrodynamic free convective flow of micropolar fluid over a moving flat plate using the Lie group transformations and numerical methods. Instead of using conventional no-slip boundary conditions, we used both the velocity and thermal slip boundary conditions to...

Full description

Bibliographic Details
Main Authors:	Uddin, M. J., M. Nomani, Kabir, Alginahi, Yasser M.
Format:	Article
Language:	English English
Published:	Elsevier Ltd 2015
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/1/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf http://umpir.ump.edu.my/id/eprint/11596/7/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf

id	ump-11596
recordtype	eprints
spelling	ump-115962020-03-02T03:05:24Z http://umpir.ump.edu.my/id/eprint/11596/ Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer Uddin, M. J. M. Nomani, Kabir Alginahi, Yasser M. Q Science (General) In this paper, we investigate magnetohydrodynamic free convective flow of micropolar fluid over a moving flat plate using the Lie group transformations and numerical methods. Instead of using conventional no-slip boundary conditions, we used both the velocity and thermal slip boundary conditions to achieve physically realistic and practically useful results. The governing boundary layer equations are non-dimensionalized and transformed into a set of coupled ordinary differential equations (ODEs) using similarity transformations generated by the Lie group, before being solved numerically using Matlab stiff ODE solver ode15s and Matlab trust-region-reflective algorithm lsqnonlin. The effects of governing parameters on the dimensionless velocity, angular velocity, temperature, skin friction and heat transfer rate are investigated. Our analysis revealed that the dimensionless velocity and angular velocity decrease whilst the dimensionless temperature increases with the velocity slip parameter. Thermal slip reduces the dimensionless velocity and temperature but raises the dimensionless angular velocity. Magnetic field suppresses the velocity but elevates the temperature and angular velocity. Results reported in this paper are in good agreement with the ones reported by the previous authors. Elsevier Ltd 2015 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/11596/1/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/11596/7/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf Uddin, M. J. and M. Nomani, Kabir and Alginahi, Yasser M. (2015) Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer. Computers & Mathematics with Applications, 70 (5). pp. 846-856. ISSN 08981221 http://dx.doi.org/10.1016/j.camwa.2015.06.002 doi:10.1016/j.camwa.2015.06.002
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English English
topic	Q Science (General)
spellingShingle	Q Science (General) Uddin, M. J. M. Nomani, Kabir Alginahi, Yasser M. Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
description	In this paper, we investigate magnetohydrodynamic free convective flow of micropolar fluid over a moving flat plate using the Lie group transformations and numerical methods. Instead of using conventional no-slip boundary conditions, we used both the velocity and thermal slip boundary conditions to achieve physically realistic and practically useful results. The governing boundary layer equations are non-dimensionalized and transformed into a set of coupled ordinary differential equations (ODEs) using similarity transformations generated by the Lie group, before being solved numerically using Matlab stiff ODE solver ode15s and Matlab trust-region-reflective algorithm lsqnonlin. The effects of governing parameters on the dimensionless velocity, angular velocity, temperature, skin friction and heat transfer rate are investigated. Our analysis revealed that the dimensionless velocity and angular velocity decrease whilst the dimensionless temperature increases with the velocity slip parameter. Thermal slip reduces the dimensionless velocity and temperature but raises the dimensionless angular velocity. Magnetic field suppresses the velocity but elevates the temperature and angular velocity. Results reported in this paper are in good agreement with the ones reported by the previous authors.
format	Article
author	Uddin, M. J. M. Nomani, Kabir Alginahi, Yasser M.
author_facet	Uddin, M. J. M. Nomani, Kabir Alginahi, Yasser M.
author_sort	Uddin, M. J.
title	Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
title_short	Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
title_full	Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
title_fullStr	Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
title_full_unstemmed	Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer
title_sort	lie group analysis and numerical solution of magnetohydrodynamic free convective slip flow of micropolar fluid over a moving plate with heat transfer
publisher	Elsevier Ltd
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/ http://umpir.ump.edu.my/id/eprint/11596/1/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf http://umpir.ump.edu.my/id/eprint/11596/7/Lie%20Group%20Analysis%20and%20Numerical%20Solution%20of%20Magnetohydrodynamic%20Free%20Convective%20Slip%20Flow%20of%20Micropolar%20Fluid%20Over%20a%20Moving%20Plate%20With%20Heat%20Transfer.pdf
first_indexed	2023-09-18T22:12:31Z
last_indexed	2023-09-18T22:12:31Z
_version_	1777415122003689472

Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micropolar Fluid Over a Moving Plate With Heat Transfer

Similar Items