2010
DOI: 10.1016/j.ijheatmasstransfer.2010.01.020
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Visualization of heat flow using Bejan’s heatline due to natural convection of water near 4 °C in thick walled porous cavity

Abstract: a b s t r a c tA numerical study on natural convection heat transfer of cold water near 4°C in a thick bottom walled cavity filled with a porous medium has been performed. It is assumed that the cavity is isothermally heated from the outside of the thick bottom wall and cooled from ceiling. The finite-difference method has been used to solve the governing partial differential equations of heat and fluid flow. Effects of thermal conductivity ratio, Rayleigh number and bottom wall thickness on heat transfer from… Show more

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Cited by 34 publications
(6 citation statements)
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“…Mobedi et al [5] also divided heatfunction equation into the diffusion and convection heatfunctions by using superposition rule. Varol et al [6] used heatline patterns to study natural convection heat transfer of cold water near 4°C in a thick bottom walled cavity filled with a porous medium. Kaluri et al [7] performed a numerical study on heat distribution and thermal mixing for steady laminar natural convective flow within fluid-saturated porous square cavities by using heatline technique.…”
Section: Introductionmentioning
confidence: 99%
“…Mobedi et al [5] also divided heatfunction equation into the diffusion and convection heatfunctions by using superposition rule. Varol et al [6] used heatline patterns to study natural convection heat transfer of cold water near 4°C in a thick bottom walled cavity filled with a porous medium. Kaluri et al [7] performed a numerical study on heat distribution and thermal mixing for steady laminar natural convective flow within fluid-saturated porous square cavities by using heatline technique.…”
Section: Introductionmentioning
confidence: 99%
“…The dimensionless form of heat function for a two-dimensional convection problem can be defined as [23]: Table 1 Comparison of the Nu between the present and the results of Ref. [12] for Gr = 2 Â 10 4 , Pr = 0.054 and Bi = 0.…”
Section: Heatlinesmentioning
confidence: 99%
“…In order to visualize heat flow, the heatline concept proposed by Kimura and Bejan [18] may be used. Many authors have applied the heatlines concept to visualize and analyze the heat flow driven by convection in a cavity [19,20,22,21,23,17,[24][25][26][27][28][29]. The aim of this work is to visualize and analyze surface tension and convective cooling effects on a differentially heated square enclosure using the heatline concept.…”
Section: Introductionmentioning
confidence: 99%
“…The results show that the aspect ratio of 3 enhances the density inversion. Varol et al [5] investigated a rectangular cavity with porous media. Flow pattern and isotherms have been presented and analyzed in this study at different Rayleigh numbers.…”
Section: Introductionmentioning
confidence: 99%