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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Main Authors: Chandran Pallath, Sacheti Nirmal C., Singh Ashok K.
Format: Article
Language:English
Published: Sciendo 2013-06-01
Series:Journal of Hydrology and Hydromechanics
Subjects:
Online Access:https://doi.org/10.2478/johh-2013-0014
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spelling 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
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