Natural Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation

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...

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Main Authors: Gilbert Makanda, O. D. Makinde, Precious Sibanda
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
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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
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