Heat transfer in a confined rectangular cavity packed with porous media

Seki, Nobuhiro; Fukusako, Shoichiro; Inaba, Hideo

doi:10.1016/0017-9310(78)90190-4

Cited by 58 publications

(23 citation statements)

References 6 publications

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“…In the past [29][30][31][32], analytical works have included numerical solutions, boundary layer solutions, integral analysis and series solutions. Based on theses studies, various correlations of Nu have been presented, and these cover a wide range of Rayleigh numbers and aspect ratios.…”

Section: Numerical Solutionmentioning

confidence: 99%

Boundary layer and stability analysis of natural convection in a porous cavity

Bahloul¹

2006

International Journal of Thermal Sciences

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Section: Numerical Solutionmentioning

confidence: 99%

Boundary layer and stability analysis of natural convection in a porous cavity

Bahloul¹

2006

International Journal of Thermal Sciences

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“…Raf (fluid) = 3.47 x 10 7 , Ras (glass balls) = 1.21 x 10 5 , Ras (iron balls) = 2.14 x 10 3 , K (glass balls) = 2.34 x 10 -5 , K (iron balls) = 1.42 x 10 - 7 .This shows that the values of Ra are very much smaller than the corresponding values for fluid alone. The experiment is conducted in a room, where the thermal disturbance from the environment is prevented.…”

Section: Experimental Apparatus and Proceduresmentioning

confidence: 86%

“…The purpose of the present study is to examine experimentally the transient and steady state characteristics of convective heat transfer in the presence as well as in the absence of porous medium. Though this problem has been done by several authors [7][8], no simple and low cost experiment has appeared in the literature. The present work highlights the comparison between vertical and horizontal orientations of the test section.…”

Section: Introductionmentioning

confidence: 99%

An Experimental Study of Natural Convection in Porous Media Heated from below

Nagaraju¹

2011

Mapana J Sc

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The present experimental study is carried out using a rectangular cavity packed with porous medium such as iron balls or glass balls of different diameters and hence different porosity. The lower plate is maintained at a uniform temperature Th, which is higher than the temperature Tc of upper plate. The experiment is performed for both closed and open systems in vertical as well as horizontal orientation of the test box. When ( Th - Tc ) is increased beyond a certain value, convective motion takes place in the fluid. The results of the experiment indicate that a porous medium can transport more energy than a saturated fluid alone if the porous matrix is highly permeable and thermal conductivity of solid particles is greater than that of fluid. This experiment also shows that convective effect is more in open system i.e., free boundary at the top. It is also observed that the time taken to reach the thermal steady state is less in the horizontal orientation as compared to the vertical orientation. In this study, the relationship between Rayleigh and Nusselt numbers has been investigated in addition to the expected temperature profile. It is found that the magnitude of temperature for iron balls is about 10% more as compared to glass balls and about 18% higher for vertical orientation as compared to horizontal orientation.

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“…Prasad et al [27] employed an "effective" medium thermal conductivity that depends on Ra,", in order to reduce the scatter of the heat transfer results for porous enclosures but neglected the quadratic term in favor of the convective inertia term. In an experimental investigation of convection in boxes heated from the side, Seki et al [28] suggested that the divergence in the data is an explicit effect of the porous medium Prandtl number and gave a correlation of the form Nu = CRa:"Pr p (2) The constant C in equation (2) depends on the aspect ratio of the box and the exponents r, p are evaluated experimentally. Jonsson [29] obtained heat transfer data for free convection in porous cylindrical cells heated from below and reported a correlation in the form of (2) but with a modified Prandtl number (Pr • KC).…”

Section: Introductionmentioning

confidence: 99%

Prandtl Number Effect on Be´nard Convection in Porous Media

Georgiadis

Catton

1986

Journal of Heat Transfer

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A numerical study of buoyancy-driven two-dimensional convection in a fluidsaturated horizontal porous layer is reported emphasizing the nonlinear inertial effect on heat transport. The Forchheimer-Brinkman-Darcy-Boussinesq formulation and a single energy equation for the volume-average temperature are used. Closure to the wavenumber selection problem is sought through a criterion based on the Glansdorff and Prigogine theory of nonequilibrium thermodynamics. Good agreement with laboratory data and the analogy with the Rayleigh-Benard problem are corroborative facts which justify similar non-Darcian formulations and demonstrate the role of the quadratic inertial terms in decreasing the mean convective heat transfer across the layer.

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Heat transfer in a confined rectangular cavity packed with porous media

Cited by 58 publications

References 6 publications

Boundary layer and stability analysis of natural convection in a porous cavity

Boundary layer and stability analysis of natural convection in a porous cavity

An Experimental Study of Natural Convection in Porous Media Heated from below

Prandtl Number Effect on Be´nard Convection in Porous Media

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