Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion
The laminar natural convection boundary-layer flow of an electricallyconducting fluid from a permeable sphere embedded in a porous medium with variable porosity is considered. The non-Darcy effects including convective, boundary, inertial and thermal dispersion effects are included in this analysis...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Vilnius University Press
2007-07-01
|
Series: | Nonlinear Analysis |
Subjects: | |
Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14693 |
id |
doaj-1f8617be9126416d82e58e839c9482cf |
---|---|
record_format |
Article |
spelling |
doaj-1f8617be9126416d82e58e839c9482cf2020-11-24T21:44:14ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-07-0112310.15388/NA.2007.12.3.14693Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal DispersionS. M. M. El-Kabeir0M. A. El-Hakiem1A. M. Rashad2South Valley University, EgyptSouth Valley University, EgyptSouth Valley University, Egypt The laminar natural convection boundary-layer flow of an electricallyconducting fluid from a permeable sphere embedded in a porous medium with variable porosity is considered. The non-Darcy effects including convective, boundary, inertial and thermal dispersion effects are included in this analysis. The sphere surface is maintained at a constant heat flux and is permeable to allow for possible fluid wall suction or blowing. The resulting governing equations are nondimensionalized and transformed into a nonsimilar form and then solved numerically by using the secondlevel local non-similarity method that is used to convert the non-similar equations into a system of ordinary differential equations. Comparisons with previously published work are performed and excellent agreement is obtained. A parametric study of the physical parameters is conducted and a representative set of numerical results for the velocity and temperature profiles as well as the local skin-friction coefficient and the Nusselt number are illustrated graphically to show interesting features of Darcy number, inertia coefficient, the magnetic parameter, dimensionless coordinate, dispersion parameter, the Prantdl number and suction/blowing parameter. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14693porous mediumnatural convectionnon-DarcyForchheimer numberthermal dispersionsphere |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
S. M. M. El-Kabeir M. A. El-Hakiem A. M. Rashad |
spellingShingle |
S. M. M. El-Kabeir M. A. El-Hakiem A. M. Rashad Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion Nonlinear Analysis porous medium natural convection non-Darcy Forchheimer number thermal dispersion sphere |
author_facet |
S. M. M. El-Kabeir M. A. El-Hakiem A. M. Rashad |
author_sort |
S. M. M. El-Kabeir |
title |
Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion |
title_short |
Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion |
title_full |
Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion |
title_fullStr |
Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion |
title_full_unstemmed |
Natural Convection from a Permeable Sphere Embedded in a Variable Porosity Porous Medium Due to Thermal Dispersion |
title_sort |
natural convection from a permeable sphere embedded in a variable porosity porous medium due to thermal dispersion |
publisher |
Vilnius University Press |
series |
Nonlinear Analysis |
issn |
1392-5113 2335-8963 |
publishDate |
2007-07-01 |
description |
The laminar natural convection boundary-layer flow of an electricallyconducting fluid from a permeable sphere embedded in a porous medium with variable porosity is considered. The non-Darcy effects including convective, boundary, inertial and thermal dispersion effects are included in this analysis. The sphere surface is maintained at a constant heat flux and is permeable to allow for possible fluid wall suction or blowing. The resulting governing equations are nondimensionalized and transformed into a nonsimilar form and then solved numerically by using the secondlevel local non-similarity method that is used to convert the non-similar equations into a system of ordinary differential equations. Comparisons with previously published work are performed and excellent agreement is obtained. A parametric study of the physical parameters is conducted and a representative set of numerical results for the velocity and temperature profiles as well as the local skin-friction coefficient and the Nusselt number are illustrated graphically to show interesting features of Darcy number, inertia coefficient, the magnetic parameter, dimensionless coordinate, dispersion parameter, the Prantdl number and suction/blowing parameter.
|
topic |
porous medium natural convection non-Darcy Forchheimer number thermal dispersion sphere |
url |
http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14693 |
work_keys_str_mv |
AT smmelkabeir naturalconvectionfromapermeablesphereembeddedinavariableporosityporousmediumduetothermaldispersion AT maelhakiem naturalconvectionfromapermeablesphereembeddedinavariableporosityporousmediumduetothermaldispersion AT amrashad naturalconvectionfromapermeablesphereembeddedinavariableporosityporousmediumduetothermaldispersion |
_version_ |
1725911277237174272 |