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Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel

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

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Main Authors: Wan Azmi, W. F., Mohamad, A. Q., Hoe, Y. S., Mat Isa, Z., Shafie, S.
Format: Article
Language:English
Published: Penerbit UTM Press 2021
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/95637/1/AhmadQushairiMohamad2021_EffectsofMagnetohydrodynamicsandHeat.pdf
http://eprints.utm.my/id/eprint/95637/
http://dx.doi.org/10.11113/MJFAS.V17N4.2068
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spelling my.utm.956372022-05-31T13:04:32Z http://eprints.utm.my/id/eprint/95637/ Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel Wan Azmi, W. F. Mohamad, A. Q. Hoe, Y. S. Mat Isa, Z. Shafie, S. QA Mathematics Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance of applications in science and technology. Therefore, the main purpose of this paper is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of magnetohydrodynamics (MHD) past through vertical channel. This paper is continued study from published article [18] with additional effects of magnetohydrodynamics (MHD). 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, γ, 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. Penerbit UTM Press 2021 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/95637/1/AhmadQushairiMohamad2021_EffectsofMagnetohydrodynamicsandHeat.pdf Wan Azmi, W. F. and Mohamad, A. Q. and Hoe, Y. S. and Mat Isa, Z. and Shafie, S. (2021) Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel. Malaysian Journal of Fundamental and Applied Sciences, 17 (4). pp. 416-429. ISSN 2289-599X http://dx.doi.org/10.11113/MJFAS.V17N4.2068 DOI: 10.11113/MJFAS.V17N4.2068
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
spellingShingle QA Mathematics
Wan Azmi, W. F.
Mohamad, A. Q.
Hoe, Y. S.
Mat Isa, Z.
Shafie, S.
Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
description Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance of applications in science and technology. Therefore, the main purpose of this paper is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of magnetohydrodynamics (MHD) past through vertical channel. This paper is continued study from published article [18] with additional effects of magnetohydrodynamics (MHD). 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, γ, 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 Article
author Wan Azmi, W. F.
Mohamad, A. Q.
Hoe, Y. S.
Mat Isa, Z.
Shafie, S.
author_facet Wan Azmi, W. F.
Mohamad, A. Q.
Hoe, Y. S.
Mat Isa, Z.
Shafie, S.
author_sort Wan Azmi, W. F.
title Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
title_short Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
title_full Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
title_fullStr Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
title_full_unstemmed Effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
title_sort effects of magnetohydrodynamics and heat transfer in casson fluid through a channel
publisher Penerbit UTM Press
publishDate 2021
url http://eprints.utm.my/id/eprint/95637/1/AhmadQushairiMohamad2021_EffectsofMagnetohydrodynamicsandHeat.pdf
http://eprints.utm.my/id/eprint/95637/
http://dx.doi.org/10.11113/MJFAS.V17N4.2068
_version_ 1735386828790300672
score 13.211869

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