Direct simulation of natural convection in square porous enclosure

Pourshaghaghy, A.; Hakkaki-Fard, Ali; Mahdavi-Nejad, A.

doi:10.1016/j.enconman.2006.11.013

Cited by 23 publications

(21 citation statements)

References 24 publications

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“…(17), N minÀv is not affected by the enclosure aspect ratio when A P 1 because then there will be always a single lattice in the vertical direction (no change in the geometry of the vertical direction); however, when A < 1 Eq. (17) indicates N minÀv to be proportional to A 2 , with the vertical interference becoming more likely as A decreases. This is so because when A decreases the number of lattices stacked in the vertical direction increases proportionally, which is equivalent in effect to an increase in the enclosure height.…”

Section: Minð1; Aþmentioning

confidence: 95%

“…The difference between Eqs. (17) and (19) is the extra A factor in the denominator of Eq. (19), leading to N minÀv /N minÀh = A.…”

Section: Minð1; Aþmentioning

confidence: 99%

“…Notice the minimum number of blocks predicted by Eqs. (17) and (19) are listed in parentheses in Table 1 as perfect squares, a requirement of the square lattice configuration considered here.…”

Section: Minð1; Aþmentioning

confidence: 99%

“…The effect of varying the geometry of the blocks, pioneered by Braga and de Lemos [16], highlighted the advantage of using square blocks (instead of circular bodies) in enhancing the heat transfer inside the enclosure because of the extra mixing induced by the flow separation at the sharp edges of the blocks. The natural convection in an enclosure with randomly distributed solid bodies was recently studied by Pourshaghaghy et al [17], who observed an oscillatory (in time) solution for the local Nusselt number.…”

Section: Introductionmentioning

confidence: 98%

See 3 more Smart Citations

Aspect ratio effect on the prediction of boundary layer interference in steady natural convection inside heterogeneous enclosures

Lage

Junqueira

Lai

et al. 2016

International Journal of Heat and Mass Transfer

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Section: Minð1; Aþmentioning

confidence: 95%

“…The difference between Eqs. (17) and (19) is the extra A factor in the denominator of Eq. (19), leading to N minÀv /N minÀh = A.…”

Section: Minð1; Aþmentioning

confidence: 99%

Section: Minð1; Aþmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Aspect ratio effect on the prediction of boundary layer interference in steady natural convection inside heterogeneous enclosures

Lage

Junqueira

Lai

et al. 2016

International Journal of Heat and Mass Transfer

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“…The case of a porous medium formed by a number of randomly distributed solid obstacles is studied by Pourshaghaghy et al (2007) whereas Hooman and Gurgenci (2010) studied flow through a finned-tube bundle modeled as a designed porous medium. Braga and de Lemos (2005a,b) analyzed regularly distributed particles by comparing the low-resolution volumeaveraged porous medium model with an enclosure bathing disconnected and conducting solid blocks.…”

mentioning

confidence: 99%

Theoretical Analysis of Natural Convection in an Enclosure Filled with Disconnected Conducting Square Solid Blocks

Hooman

Merrikh

2010

Transp Porous Med

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Two different approaches have been implemented to interpret the existing data in Merrikh and Lage (2005a, in: Pop, Ingham, Transport Phenomena in Porous Media, Elsevier, Oxford) pertinent to the pore-scale simulation of natural convection in a laterally heated square enclosure filled with a fluid bathing discrete, disconnected and conducting solid blocks. Mathematical analysis of the problem based on the least squares method leads us to a Nu-Ra correlation with the solid-to-fluid thermal conductivity ratio and the porous medium permeability as the controlling parameters. In this study, while the porosity is fixed, the permeability is varied by changing either the block size or the number of blocks. Hence, three independent variables N, Ra, and κ being the number of blocks, Rayleigh number, and the conductivity ratio between the solid and the fluid, respectively, affect the overall heat transfer process. Based on a simplified thermal resistance approach, an alternative correlation is proposed to predict the Nusselt number as a function of the aforementioned parameters. Detailed analysis of the results and the expected errors are presented.

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MHD natural convection inside an inclined trapezoidal porous enclosure with internal heat generation or absorption subjected to isoflux heating

Hussein

Ahmed

Saha

et al. 2012

Heat Trans. Asian Res.

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A steady laminar two‐dimensional magneto‐hydrodynamic natural convection flow in an inclined trapezoidal enclosure filled with a fluid‐saturated porous medium is investigated numerically using a finite difference method. The left and right vertical sidewalls of the trapezoidal enclosure are maintained at a cold temperature. The horizontal top wall is considered adiabatic while the bottom wall is subjected to isoflux heating. A volumetric internal heat generation or absorption is embedded inside the trapezoidal enclosure while an external magnetic field is applied on the left sidewall of the enclosure. In the current work, the following parametric ranges of the non‐dimensional groups are used: Hartmann number is varied as $0 \le Ha \le 50$, Darcy number is taken as $Da = 10^{-3}$, 10−4, and 8 × 10−5, Rayleigh number is varied as $10^3 \le Ra \le 10^5$, Prandtl number is considered constant at Pr = 0.7, the dimensionless internal heat generation or absorption parameter is varied as Δ = −0.2, 0, 1, and 2.0, while the trapezoidal enclosure inclination angle is varied as $0^\circ \le \psi \le 90^\circ$. The results indicated a strong flow circulation occurs when the Darcy and the Rayleigh numbers are high. In addition, it is found that the Hartmann number, internal heat generation or absorption parameter and inclination angle have an important role on the flow and thermal characteristics. It is also found that when the enclosure inclination angle and Hartmann number increase the average Nusselt number along the hot bottom wall decreases. © 2012 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21013

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Direct simulation of natural convection in square porous enclosure

Cited by 23 publications

References 24 publications

Aspect ratio effect on the prediction of boundary layer interference in steady natural convection inside heterogeneous enclosures

Aspect ratio effect on the prediction of boundary layer interference in steady natural convection inside heterogeneous enclosures

Theoretical Analysis of Natural Convection in an Enclosure Filled with Disconnected Conducting Square Solid Blocks

MHD natural convection inside an inclined trapezoidal porous enclosure with internal heat generation or absorption subjected to isoflux heating

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