Paper Title:

Analysis of the Time-Dependent Heating on the Natural Convection from a Vertical Open Ended Porous Cylinder

Periodical Defect and Diffusion Forum (Volumes 273 - 276)
Main Theme Diffusion in Solids and Liquids III
Edited by Andreas Öchsner and Graeme E. Murch
Pages 28-33
DOI 10.4028/www.scientific.net/DDF.273-276.28
Citation Djamel Eddine Ameziani et al., 2008, Defect and Diffusion Forum, 273-276, 28
Online since February, 2008
Authors Djamel Eddine Ameziani, K. Bouhadef, Rachid Bennacer
Keywords Natural Convection, Porous Media, Time-Dependent Heating
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Abstract

The problem of unsteady natural convection heat transfer in a vertical opened porous cylinder submitted to a sinusoidal time variation temperature on the lateral wall has been investigated numerically. The widely used Darcy flow model without flow establishment at the cylinder exit has been used. In the case of constant wall temperature, two types of flows were obtained, with and without fluid recirculation, depending on the filtration Rayleigh number (Ra), the aspect ratio (A) and the Biot number (Bi) have been obtained. The obtained heat transfer, in case of low dimensionless oscillations amplitude (XA<0.5), shows a non significant enhancement (less than 5%) in comparison to the constant wall temperature case.