Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition

Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition

A numerical study of transient natural convection in a square cavity with partly thermally active side walls is introduced. The thermally active regions of the side walls are periodic in time. Top and bottom of the cavity are adiabatic. Nine different positions of the thermally active zones are cons...

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Main Authors: N. Nithyadevi, P. Kandaswamy, S. Sivasankaran
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/MPE/2006/23425
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spelling doaj-6b8fb79dd9184392b7c2dedb96145ece2020-11-24T22:51:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472006-01-01200610.1155/MPE/2006/2342523425Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary conditionN. Nithyadevi0P. Kandaswamy1S. Sivasankaran2Department of Mathematics and UGC-DRS Centre for Fluid Dynamics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics and UGC-DRS Centre for Fluid Dynamics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics and UGC-DRS Centre for Fluid Dynamics, Bharathiar University, Coimbatore 641 046, IndiaA numerical study of transient natural convection in a square cavity with partly thermally active side walls is introduced. The thermally active regions of the side walls are periodic in time. Top and bottom of the cavity are adiabatic. Nine different positions of the thermally active zones are considered. The governing equations are solved using control volume method with power-law scheme. The results are obtained for various values of amplitude, period, and Grashof numbers ranging from 104–106 and different thermally active situations. It is found that the average heat transfer increases by increasing amplitude for P=1,5, and decreasing for P=3. The average Nusselt number behaves nonlinearly as a function of period.http://dx.doi.org/10.1155/MPE/2006/23425
collection DOAJ
language English
format Article
sources DOAJ
author N. Nithyadevi
P. Kandaswamy
S. Sivasankaran
spellingShingle N. Nithyadevi
P. Kandaswamy
S. Sivasankaran
Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
Mathematical Problems in Engineering
author_facet N. Nithyadevi
P. Kandaswamy
S. Sivasankaran
author_sort N. Nithyadevi
title Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
title_short Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
title_full Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
title_fullStr Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
title_full_unstemmed Natural convection in a square cavity with partially active vertical walls: Time-periodic boundary condition
title_sort natural convection in a square cavity with partially active vertical walls: time-periodic boundary condition
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2006-01-01
description A numerical study of transient natural convection in a square cavity with partly thermally active side walls is introduced. The thermally active regions of the side walls are periodic in time. Top and bottom of the cavity are adiabatic. Nine different positions of the thermally active zones are considered. The governing equations are solved using control volume method with power-law scheme. The results are obtained for various values of amplitude, period, and Grashof numbers ranging from 104–106 and different thermally active situations. It is found that the average heat transfer increases by increasing amplitude for P=1,5, and decreasing for P=3. The average Nusselt number behaves nonlinearly as a function of period.
url http://dx.doi.org/10.1155/MPE/2006/23425
work_keys_str_mv AT nnithyadevi naturalconvectioninasquarecavitywithpartiallyactiveverticalwallstimeperiodicboundarycondition
AT pkandaswamy naturalconvectioninasquarecavitywithpartiallyactiveverticalwallstimeperiodicboundarycondition
AT ssivasankaran naturalconvectioninasquarecavitywithpartiallyactiveverticalwallstimeperiodicboundarycondition
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