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Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer

The unsteady boundary layer flow has become of great interest in the field of fluid mechanics including the area of convective double diffusion. This is due to the complexity of the problem by including extra independent time variable, especially in the study of magnetohydrodynamic flow immersed in...

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Main Author: Mangi, Aurangzaib
Format: Thesis
Language:English
Published: 2013
Subjects:
QA Mathematics
QC Physics
Online Access:http://eprints.utm.my/id/eprint/33855/5/AurangzaibMangiPFS2013.pdf
http://eprints.utm.my/id/eprint/33855/
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spelling my.utm.338552017-07-19T06:50:48Z http://eprints.utm.my/id/eprint/33855/ Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer Mangi, Aurangzaib QA Mathematics QC Physics The unsteady boundary layer flow has become of great interest in the field of fluid mechanics including the area of convective double diffusion. This is due to the complexity of the problem by including extra independent time variable, especially in the study of magnetohydrodynamic flow immersed in a micropolar fluid. In this thesis, the unsteady two-dimensional laminar boundary layer and mixed convection stagnation point flow towards a stretching or shrinking sheet immersed in magnetohydrodynamic micropolar fluid are considered. Specific problems are considered with different effects such as Soret and Dufour effects, thermophoresis effect and slip effect. Along with these effects, the micropolar parameter, the magnetic parameter and the suction or injection parameter are also considered. The governing non-linear equations are transformed into a system of differential equations by using appropriate non-dimensional variables which are then solved numerically using an implicit finite difference scheme. Numerical results for the skin friction, the Nusselt number and the Sherwood number as well as the velocity, microrotation, temperature and concentration profiles for different physical parameters are presented graphically and in tabular form. The results obtained show that there is a smooth transition from small time solution to large time solution. It is also found that with an increase of Soret and Dufour numbers, the momentum boundary layer thickness increases whereas the microrotation boundary layer thickness decreases for assisting flow while a reverse trend is observed for opposing flow. The thermal and concentration boundary layer thicknesses increase in both cases. By increasing the values of the slip parameter, all the boundary layer thicknesses decrease. In addition, by increasing the values of thermophoresis, the concentration boundary layer thickness decreases. 2013-05 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/33855/5/AurangzaibMangiPFS2013.pdf Mangi, Aurangzaib (2013) Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer. PhD thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69910?site_name=Restricted Repository
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Mangi, Aurangzaib
Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
description The unsteady boundary layer flow has become of great interest in the field of fluid mechanics including the area of convective double diffusion. This is due to the complexity of the problem by including extra independent time variable, especially in the study of magnetohydrodynamic flow immersed in a micropolar fluid. In this thesis, the unsteady two-dimensional laminar boundary layer and mixed convection stagnation point flow towards a stretching or shrinking sheet immersed in magnetohydrodynamic micropolar fluid are considered. Specific problems are considered with different effects such as Soret and Dufour effects, thermophoresis effect and slip effect. Along with these effects, the micropolar parameter, the magnetic parameter and the suction or injection parameter are also considered. The governing non-linear equations are transformed into a system of differential equations by using appropriate non-dimensional variables which are then solved numerically using an implicit finite difference scheme. Numerical results for the skin friction, the Nusselt number and the Sherwood number as well as the velocity, microrotation, temperature and concentration profiles for different physical parameters are presented graphically and in tabular form. The results obtained show that there is a smooth transition from small time solution to large time solution. It is also found that with an increase of Soret and Dufour numbers, the momentum boundary layer thickness increases whereas the microrotation boundary layer thickness decreases for assisting flow while a reverse trend is observed for opposing flow. The thermal and concentration boundary layer thicknesses increase in both cases. By increasing the values of the slip parameter, all the boundary layer thicknesses decrease. In addition, by increasing the values of thermophoresis, the concentration boundary layer thickness decreases.
format Thesis
author Mangi, Aurangzaib
author_facet Mangi, Aurangzaib
author_sort Mangi, Aurangzaib
title Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
title_short Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
title_full Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
title_fullStr Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
title_full_unstemmed Unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
title_sort unsteady magnetohydrodynamics flow of a micropolar fluid with heat and mass transfer
publishDate 2013
url http://eprints.utm.my/id/eprint/33855/5/AurangzaibMangiPFS2013.pdf
http://eprints.utm.my/id/eprint/33855/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69910?site_name=Restricted Repository
_version_ 1643649451013701632
score 13.211869

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