Natural Convection in a Square Cavity in the Presence of Heated Plate

Natural convection heat transfer in a square cavity induced by heated plate is studied numerically. Top and bottom of the cavity are adiabatic, the two vertical walls of the cavity have constant temperature lower than the plate’s temperature. The flow is assumed to be two-dimensional. The discretize...

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Main Authors: P. Kandaswamy, J. Lee, A. K. Abdul Hakeem
Format: Article
Language:English
Published: Vilnius University Press 2007-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14711
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author P. Kandaswamy
J. Lee
A. K. Abdul Hakeem
author_facet P. Kandaswamy
J. Lee
A. K. Abdul Hakeem
author_sort P. Kandaswamy
collection DOAJ
description Natural convection heat transfer in a square cavity induced by heated plate is studied numerically. Top and bottom of the cavity are adiabatic, the two vertical walls of the cavity have constant temperature lower than the plate’s temperature. The flow is assumed to be two-dimensional. The discretized equations were solved by finite difference method using Alternating Direction Implicit technique and Successive OverRelaxation method. The study was performed for different values of Grashof number ranging from 103 to 105 for different aspect ratios and position of heated plate. Air was chosen as a working fluid (Pr = 0.71). The effect of the position and aspect ratio of heated plate on heat transfer and flow were addressed. With increase of Gr heat transfer rate increased in both vertical and horizontal position of the plate. When aspect ratio of heated thin plate is decreased the heat transfer also decreases. For the vertical situation of thin plate heat transfer becomes more enhanced than for horizontal situation.
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spelling doaj.art-c07fd9c442814998aea9a351bcac68842022-12-22T03:12:05ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-04-0112210.15388/NA.2007.12.2.14711Natural Convection in a Square Cavity in the Presence of Heated PlateP. Kandaswamy0J. Lee1A. K. Abdul Hakeem2Bharathiar University, IndiaYounsei University, Seoul, Republic of KoreaBharathiar University, IndiaNatural convection heat transfer in a square cavity induced by heated plate is studied numerically. Top and bottom of the cavity are adiabatic, the two vertical walls of the cavity have constant temperature lower than the plate’s temperature. The flow is assumed to be two-dimensional. The discretized equations were solved by finite difference method using Alternating Direction Implicit technique and Successive OverRelaxation method. The study was performed for different values of Grashof number ranging from 103 to 105 for different aspect ratios and position of heated plate. Air was chosen as a working fluid (Pr = 0.71). The effect of the position and aspect ratio of heated plate on heat transfer and flow were addressed. With increase of Gr heat transfer rate increased in both vertical and horizontal position of the plate. When aspect ratio of heated thin plate is decreased the heat transfer also decreases. For the vertical situation of thin plate heat transfer becomes more enhanced than for horizontal situation.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14711natural convectionheat transferheated plate
spellingShingle P. Kandaswamy
J. Lee
A. K. Abdul Hakeem
Natural Convection in a Square Cavity in the Presence of Heated Plate
Nonlinear Analysis
natural convection
heat transfer
heated plate
title Natural Convection in a Square Cavity in the Presence of Heated Plate
title_full Natural Convection in a Square Cavity in the Presence of Heated Plate
title_fullStr Natural Convection in a Square Cavity in the Presence of Heated Plate
title_full_unstemmed Natural Convection in a Square Cavity in the Presence of Heated Plate
title_short Natural Convection in a Square Cavity in the Presence of Heated Plate
title_sort natural convection in a square cavity in the presence of heated plate
topic natural convection
heat transfer
heated plate
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14711
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