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Steady flow about a sphere in a porous medium subject to an oscillating temperature

The study of free convection about a sphere in a porous medium, when the temperature of the sphere is oscillating harmonically is considered for Rayleigh number, Ra=100. By using the matched asymptotic expansion, the flow field is divided into an inner region and an outer region, where the inn...

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Main Authors: Lai, Zhe Phooi, Jubok, Zainodin, Roslan, Rozaini, Hashim, Ishak
Format: Article
Language:English
Published: Penerbit UTHM 2011
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/7975/1/J3978_36d35d514b051f97574d9b91b9483d07.pdf
http://eprints.uthm.edu.my/7975/
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spelling my.uthm.eprints.79752022-11-08T01:35:57Z http://eprints.uthm.edu.my/7975/ Steady flow about a sphere in a porous medium subject to an oscillating temperature Lai, Zhe Phooi Jubok, Zainodin Roslan, Rozaini Hashim, Ishak T Technology (General) The study of free convection about a sphere in a porous medium, when the temperature of the sphere is oscillating harmonically is considered for Rayleigh number, Ra=100. By using the matched asymptotic expansion, the flow field is divided into an inner region and an outer region, where the inner region is adjacent to the sphere and the outer region is far from the sphere. In the inner region, the separation technique is used to divide the second-order temperature and stream function into steady and unsteady parts. The analytical solution is obtained up to second-order steady term. For outer region, the numerical result up to first order is obtained by using a finite difference scheme. It is found that, a steady flow is induced at the outer edge of the inner region. The temperature and flow patterns are discussed and compared for some frequencies of oscillation, ω and dimensionless parameter ε. It is found that both the magnitudes of temperature and stream functions decreases as ω increases or decreases but the effect of ε is not significant in the outer region. In the inner region, the magnitude of steady flow is also determined by frequency. Penerbit UTHM 2011 Article PeerReviewed text en http://eprints.uthm.edu.my/7975/1/J3978_36d35d514b051f97574d9b91b9483d07.pdf Lai, Zhe Phooi and Jubok, Zainodin and Roslan, Rozaini and Hashim, Ishak (2011) Steady flow about a sphere in a porous medium subject to an oscillating temperature. Journal of Science and Technology, 3 (1). pp. 123-141.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Lai, Zhe Phooi
Jubok, Zainodin
Roslan, Rozaini
Hashim, Ishak
Steady flow about a sphere in a porous medium subject to an oscillating temperature
description The study of free convection about a sphere in a porous medium, when the temperature of the sphere is oscillating harmonically is considered for Rayleigh number, Ra=100. By using the matched asymptotic expansion, the flow field is divided into an inner region and an outer region, where the inner region is adjacent to the sphere and the outer region is far from the sphere. In the inner region, the separation technique is used to divide the second-order temperature and stream function into steady and unsteady parts. The analytical solution is obtained up to second-order steady term. For outer region, the numerical result up to first order is obtained by using a finite difference scheme. It is found that, a steady flow is induced at the outer edge of the inner region. The temperature and flow patterns are discussed and compared for some frequencies of oscillation, ω and dimensionless parameter ε. It is found that both the magnitudes of temperature and stream functions decreases as ω increases or decreases but the effect of ε is not significant in the outer region. In the inner region, the magnitude of steady flow is also determined by frequency.
format Article
author Lai, Zhe Phooi
Jubok, Zainodin
Roslan, Rozaini
Hashim, Ishak
author_facet Lai, Zhe Phooi
Jubok, Zainodin
Roslan, Rozaini
Hashim, Ishak
author_sort Lai, Zhe Phooi
title Steady flow about a sphere in a porous medium subject to an oscillating temperature
title_short Steady flow about a sphere in a porous medium subject to an oscillating temperature
title_full Steady flow about a sphere in a porous medium subject to an oscillating temperature
title_fullStr Steady flow about a sphere in a porous medium subject to an oscillating temperature
title_full_unstemmed Steady flow about a sphere in a porous medium subject to an oscillating temperature
title_sort steady flow about a sphere in a porous medium subject to an oscillating temperature
publisher Penerbit UTHM
publishDate 2011
url http://eprints.uthm.edu.my/7975/1/J3978_36d35d514b051f97574d9b91b9483d07.pdf
http://eprints.uthm.edu.my/7975/
_version_ 1751538641059971072
score 13.211869

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