A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions
Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-s...
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Online Access: | https://doi.org/10.2478/johh-2013-0014 |
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doaj-0d2b0d4c8e7446e1acdb68313ce1228a2021-09-06T19:41:39ZengSciendoJournal of Hydrology and Hydromechanics0042-790X2013-06-0161210311110.2478/johh-2013-0014A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditionsChandran Pallath0Sacheti Nirmal C.1Singh Ashok K.2Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, PC 123, Al Khod, Muscat, Sultanate of OmanDepartment of Mathematics and Statistics, College of Science, Sultan Qaboos University, PC 123, Al Khod, Muscat, Sultanate of OmanDepartment of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi – 221005, IndiaSteady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.https://doi.org/10.2478/johh-2013-0014rectangular cavityfree convectionbrinkman modelcoupled flowramped boundary conditionnumerical solution |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chandran Pallath Sacheti Nirmal C. Singh Ashok K. |
spellingShingle |
Chandran Pallath Sacheti Nirmal C. Singh Ashok K. A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions Journal of Hydrology and Hydromechanics rectangular cavity free convection brinkman model coupled flow ramped boundary condition numerical solution |
author_facet |
Chandran Pallath Sacheti Nirmal C. Singh Ashok K. |
author_sort |
Chandran Pallath |
title |
A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
title_short |
A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
title_full |
A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
title_fullStr |
A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
title_full_unstemmed |
A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
title_sort |
numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions |
publisher |
Sciendo |
series |
Journal of Hydrology and Hydromechanics |
issn |
0042-790X |
publishDate |
2013-06-01 |
description |
Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail. |
topic |
rectangular cavity free convection brinkman model coupled flow ramped boundary condition numerical solution |
url |
https://doi.org/10.2478/johh-2013-0014 |
work_keys_str_mv |
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