Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation
We study natural convection from a downward pointing cone in a viscoelastic fluid embedded in a porous medium. The fluid properties are numerically computed for different viscoelastic, porosity, Prandtl and Eckert numbers. The governing partial differential equations are converted to a system of fou...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2013/934712 |
id |
doaj-fbd6d3c231884b71851847cc98f7ec95 |
---|---|
record_format |
Article |
spelling |
doaj-fbd6d3c231884b71851847cc98f7ec952020-11-24T21:21:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/934712934712Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous DissipationGilbert Makanda0O. D. Makinde1Precious Sibanda2School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South AfricaSchool of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South AfricaWe study natural convection from a downward pointing cone in a viscoelastic fluid embedded in a porous medium. The fluid properties are numerically computed for different viscoelastic, porosity, Prandtl and Eckert numbers. The governing partial differential equations are converted to a system of fourth order ordinary differential equations using the similarity transformations and then solved together by using the successive linearization method (SLM). Many studies have been carried out on natural convection from a cone but they did not consider a cone embedded in a porous medium with linear surface temperature. The results in this work are validated by the comparison with other authors.http://dx.doi.org/10.1155/2013/934712 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gilbert Makanda O. D. Makinde Precious Sibanda |
spellingShingle |
Gilbert Makanda O. D. Makinde Precious Sibanda Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation Mathematical Problems in Engineering |
author_facet |
Gilbert Makanda O. D. Makinde Precious Sibanda |
author_sort |
Gilbert Makanda |
title |
Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation |
title_short |
Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation |
title_full |
Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation |
title_fullStr |
Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation |
title_full_unstemmed |
Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation |
title_sort |
natural convection of viscoelastic fluid from a cone embedded in a porous medium with viscous dissipation |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2013-01-01 |
description |
We study natural convection from a downward pointing cone in a viscoelastic fluid
embedded in a porous medium. The fluid properties are numerically computed for different viscoelastic, porosity, Prandtl and Eckert numbers. The governing partial differential equations are converted to a system of fourth order ordinary
differential equations using the similarity transformations and then solved together by
using the successive linearization method (SLM). Many studies have been carried out on
natural convection from a cone but they did not consider a cone embedded in a porous
medium with linear surface temperature. The results in this work are validated by the
comparison with other authors. |
url |
http://dx.doi.org/10.1155/2013/934712 |
work_keys_str_mv |
AT gilbertmakanda naturalconvectionofviscoelasticfluidfromaconeembeddedinaporousmediumwithviscousdissipation AT odmakinde naturalconvectionofviscoelasticfluidfromaconeembeddedinaporousmediumwithviscousdissipation AT precioussibanda naturalconvectionofviscoelasticfluidfromaconeembeddedinaporousmediumwithviscousdissipation |
_version_ |
1725998200827936768 |