Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel

Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance applications in science and technology. Therefore, the main purpose of this thesis is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of...

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Main Author:	Wan Azmi, Wan Faezah
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/101753/1/WanFaezahWanAzmiMFS2020.pdf
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spelling	my-utm-ep.1017532023-07-10T09:19:30Z Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel 2020 Wan Azmi, Wan Faezah QA Mathematics Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance applications in science and technology. Therefore, the main purpose of this thesis is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of magnetohydrodynamics (MHD) past through vertical channel. Dimensional governing equations are converted into dimensionless forms by using appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid, time, Prandtl number, Grashof number and magnetic field. Laplace transform method is used to solve the dimensionless equations with associated initial and boundary conditions. Solutions for velocity and temperature profiles are obtained. Skin friction and Nusselt number are also calculated. The obtained analytical results for velocity and temperature are plotted graphically to discuss the influence of dimensionless parameters on profiles. It is observed that fluid velocity increases with increases of Grashof number, Gr and time, t whereas it decreases with increases of Casson parameter, ?, magnetic field parameter, M and Prandtl number, Pr. Besides that, it is found that temperature profiles decrease with high value of Prandtl number, Pr while increases with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and it is found to be in a mutual agreement. 2020 Thesis http://eprints.utm.my/id/eprint/101753/ http://eprints.utm.my/id/eprint/101753/1/WanFaezahWanAzmiMFS2020.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146293 masters Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Wan Azmi, Wan Faezah Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
description	Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance applications in science and technology. Therefore, the main purpose of this thesis is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of magnetohydrodynamics (MHD) past through vertical channel. Dimensional governing equations are converted into dimensionless forms by using appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid, time, Prandtl number, Grashof number and magnetic field. Laplace transform method is used to solve the dimensionless equations with associated initial and boundary conditions. Solutions for velocity and temperature profiles are obtained. Skin friction and Nusselt number are also calculated. The obtained analytical results for velocity and temperature are plotted graphically to discuss the influence of dimensionless parameters on profiles. It is observed that fluid velocity increases with increases of Grashof number, Gr and time, t whereas it decreases with increases of Casson parameter, ?, magnetic field parameter, M and Prandtl number, Pr. Besides that, it is found that temperature profiles decrease with high value of Prandtl number, Pr while increases with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and it is found to be in a mutual agreement.
format	Thesis
qualification_level	Master's degree
author	Wan Azmi, Wan Faezah
author_facet	Wan Azmi, Wan Faezah
author_sort	Wan Azmi, Wan Faezah
title	Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
title_short	Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
title_full	Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
title_fullStr	Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
title_full_unstemmed	Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel
title_sort	analytical solution of unsteady mhd free convection flow of casson fluid through a vertical channel
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2020
url	http://eprints.utm.my/id/eprint/101753/1/WanFaezahWanAzmiMFS2020.pdf
_version_	1776100763338014720

Analytical solution of unsteady MHD free convection flow of Casson fluid through a vertical channel

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