Unsteady MHD flow of viscous and second grade fluids in a porous medium
In this thesis, the unsteady magnetohydrodynamic (MHD) free convection flows of viscous and second grade fluids past an infinite inclined plate in a porous medium are studied. These viscous and second grade fluids are under the conditions of ramped wall temperature and isothermal plate. Analytic sol...
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my-utm-ep.786542018-08-29T07:53:18Z Unsteady MHD flow of viscous and second grade fluids in a porous medium 2016-03 Ismail @ Mustofa, Zulkhibri QA Mathematics In this thesis, the unsteady magnetohydrodynamic (MHD) free convection flows of viscous and second grade fluids past an infinite inclined plate in a porous medium are studied. These viscous and second grade fluids are under the conditions of ramped wall temperature and isothermal plate. Analytic solutions are developed by using Laplace transform technique. The main finding of this thesis is to determine the expressions of exact solutions for velocity, temperature and concentration profiles. All these profiles are graphically plotted for various physical parameters such as radiation, heat absorption, porosity, rotation and second grade parameters. The results show that when temperature decreases, high radiation and heat absorption occurs which consequently decreases the velocity. For larger values of magnetic parameter, the fluid velocity decreases. The velocity is found to increase with increasing values of the porosity parameter. It is also observed that when the second grade parameter increases, the velocity shows an oscillating behavior where the velocity first decreases and then increases. An interesting result for the velocity is observed from the comparison of ramped wall temperature and isothermal. It is found that fluid velocity retarded in the case of ramped wall temperature compared to isothermal case. In limiting cases, the present solutions are reduced in order to compare with existing results. As expected, the results are found identical, verifying the validity of the obtainable solutions. The numerical results of skin-friction, Nusselt number and Sherwood number are also computed and displayed in tables, and also analyzed in details. 2016-03 Thesis http://eprints.utm.my/id/eprint/78654/ http://eprints.utm.my/id/eprint/78654/1/ZulkhibriIsmailMustofaPFS2016.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:97507 phd doctoral Universiti Teknologi Malaysia, Faculty of Science Faculty of Science |
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QA Mathematics Ismail @ Mustofa, Zulkhibri Unsteady MHD flow of viscous and second grade fluids in a porous medium |
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In this thesis, the unsteady magnetohydrodynamic (MHD) free convection flows of viscous and second grade fluids past an infinite inclined plate in a porous medium are studied. These viscous and second grade fluids are under the conditions of ramped wall temperature and isothermal plate. Analytic solutions are developed by using Laplace transform technique. The main finding of this thesis is to determine the expressions of exact solutions for velocity, temperature and concentration profiles. All these profiles are graphically plotted for various physical parameters such as radiation, heat absorption, porosity, rotation and second grade parameters. The results show that when temperature decreases, high radiation and heat absorption occurs which consequently decreases the velocity. For larger values of magnetic parameter, the fluid velocity decreases. The velocity is found to increase with increasing values of the porosity parameter. It is also observed that when the second grade parameter increases, the velocity shows an oscillating behavior where the velocity first decreases and then increases. An interesting result for the velocity is observed from the comparison of ramped wall temperature and isothermal. It is found that fluid velocity retarded in the case of ramped wall temperature compared to isothermal case. In limiting cases, the present solutions are reduced in order to compare with existing results. As expected, the results are found identical, verifying the validity of the obtainable solutions. The numerical results of skin-friction, Nusselt number and Sherwood number are also computed and displayed in tables, and also analyzed in details. |
format |
Thesis |
qualification_name |
Doctor of Philosophy (PhD.) |
qualification_level |
Doctorate |
author |
Ismail @ Mustofa, Zulkhibri |
author_facet |
Ismail @ Mustofa, Zulkhibri |
author_sort |
Ismail @ Mustofa, Zulkhibri |
title |
Unsteady MHD flow of viscous and second grade fluids in a porous medium |
title_short |
Unsteady MHD flow of viscous and second grade fluids in a porous medium |
title_full |
Unsteady MHD flow of viscous and second grade fluids in a porous medium |
title_fullStr |
Unsteady MHD flow of viscous and second grade fluids in a porous medium |
title_full_unstemmed |
Unsteady MHD flow of viscous and second grade fluids in a porous medium |
title_sort |
unsteady mhd flow of viscous and second grade fluids in a porous medium |
granting_institution |
Universiti Teknologi Malaysia, Faculty of Science |
granting_department |
Faculty of Science |
publishDate |
2016 |
url |
http://eprints.utm.my/id/eprint/78654/1/ZulkhibriIsmailMustofaPFS2016.pdf |
_version_ |
1747818038591225856 |