Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box

In this research, the Ekman boundary layer flow and heat transfer in porous medium with large value of suction parameter is studied. The governing equations which are the momentum equation and energy equation are derived based on the principle of conservation law. The obtained dimensional governing...

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Main Author:	Alshwyyatt, Omar Ahmad
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/51421/25/OmarAhmadAlshwyyattMFS2014.pdf
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id	my-utm-ep.51421
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spelling	my-utm-ep.514212020-07-14T03:05:08Z Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box 2014-06 Alshwyyatt, Omar Ahmad QA Mathematics In this research, the Ekman boundary layer flow and heat transfer in porous medium with large value of suction parameter is studied. The governing equations which are the momentum equation and energy equation are derived based on the principle of conservation law. The obtained dimensional governing equations are transformed into non-dimensional equations by using appropriate non-dimensional variables. The numerical solutions of the non-dimensional governing equations are obtained by using the implicit finite difference scheme known as the Keller-Box method. These numerical results of primary velocity, secondary velocity, and temperature profiles are displayed and analyzed through graphs. The solutions obtained satisfy all imposed boundary conditions. Results for wall shear stress and heat coefficient are displayed and analyzed through graphs and tables. The results show that, primary velocity increases with increasing Grash of number and Eckert number, while it decreases with increasing Prandtl number and permeability parameter. The secondary velocity increases with increasing of suction parameter, while the effect of Ekman number gives the opposite behavior. The fluid temperature is increasingly affected by Prandtl number. There is no effect of rotation on temperature. The primary shear stress at the wall increases in case of strong values of Grash of and Eckert numbers, while it decreases with the rise of Prandtl number, suction and permeability parameters. The secondary shear stress at the wall increases with rising suction parameter, while it decreases with increasing of Ekman number. 2014-06 Thesis http://eprints.utm.my/id/eprint/51421/ http://eprints.utm.my/id/eprint/51421/25/OmarAhmadAlshwyyattMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86727 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Alshwyyatt, Omar Ahmad Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
description	In this research, the Ekman boundary layer flow and heat transfer in porous medium with large value of suction parameter is studied. The governing equations which are the momentum equation and energy equation are derived based on the principle of conservation law. The obtained dimensional governing equations are transformed into non-dimensional equations by using appropriate non-dimensional variables. The numerical solutions of the non-dimensional governing equations are obtained by using the implicit finite difference scheme known as the Keller-Box method. These numerical results of primary velocity, secondary velocity, and temperature profiles are displayed and analyzed through graphs. The solutions obtained satisfy all imposed boundary conditions. Results for wall shear stress and heat coefficient are displayed and analyzed through graphs and tables. The results show that, primary velocity increases with increasing Grash of number and Eckert number, while it decreases with increasing Prandtl number and permeability parameter. The secondary velocity increases with increasing of suction parameter, while the effect of Ekman number gives the opposite behavior. The fluid temperature is increasingly affected by Prandtl number. There is no effect of rotation on temperature. The primary shear stress at the wall increases in case of strong values of Grash of and Eckert numbers, while it decreases with the rise of Prandtl number, suction and permeability parameters. The secondary shear stress at the wall increases with rising suction parameter, while it decreases with increasing of Ekman number.
format	Thesis
qualification_level	Master's degree
author	Alshwyyatt, Omar Ahmad
author_facet	Alshwyyatt, Omar Ahmad
author_sort	Alshwyyatt, Omar Ahmad
title	Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
title_short	Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
title_full	Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
title_fullStr	Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
title_full_unstemmed	Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box
title_sort	numerical study of ekman boundary layer and heat transfer in porous medium using keller-box
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/51421/25/OmarAhmadAlshwyyattMFS2014.pdf
_version_	1747817551334735872

Numerical study of Ekman boundary layer and heat transfer in porous medium using Keller-Box

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