Unsteady Natural Convection Within a Porous Enclosure of Sinusoidal Corrugated Side Walls

Sojoudi, Atta; Saha, Suvash C.; Khezerloo, Marzieh; Gu, Yuantong

doi:10.1007/s11242-014-0347-y

Cited by 12 publications

(3 citation statements)

References 39 publications

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“…To the best of our knowledge, these analyses have never been performed for a problem involving NC within a porous enclosure. Yet, NC in porous enclosure has been largely investigated for several purposes Oztop et al (2009); Das et al (2017) and several authors have contributed important results for such a configuration Bejan (1979); Prasad and Kulacki (1984); Beckermann et al (1986); Gross et al (1986); Moya et al (1987); Lai and Kulacki (1988); Baytaş (2000); Saeid and Pop (2004); Saeid (2007); Oztop et al (2009); Sojoudi et al (2014); Chou et al (2015); Mansour and Ahmed (2015).…”

Section: Introductionmentioning

confidence: 99%

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Fajraoui

Fahs

Younès

et al. 2017

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Fajraoui

Fahs

Younès

et al. 2017

International Journal of Heat and Mass Transfer

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“…The thermal or natural convection is nontrivial as the combined influence of momentum, and heat transfer effects based on geometries and heating of walls lead to complex fluid flow and heat transfer features. Furthermore, the effect of geometrical intricacies, especially in the case of enclosures (with curved or inclined walls) confining porous bed with various limits of porosities can induce intriguing features of fluid flow and heat transport leading to the extensive research on temperature characteristics (via isotherms) associated with flow visualization (via streamlines) with/without heat flow visualization [via heatlines as first proposed by Kimura and Bejan (1983)] over the past few decades (Murthy et al , 1997; Kumar et al , 1998; Kumar, 2000; Kumar and Shalini, 2003a, 2003b, 2004; Das et al , 2003; Misirlioglu et al , 2005; Misirlioglu et al , 2006; Chen et al , 2007; Khanafer et al , 2009; Basak et al , 2013; Sojoudi et al , 2014; Biswal and Basak, 2017a, 2018; Haq et al , 2018; Cheong et al , 2018; Lukose and Basak, 2020; Saha et al , 2020; Belabid, 2020; Rashed et al , 2021; Rao and Barman, 2021). A number of earlier studies do involve analysis with second law of thermodynamics involving entropy generation rates which elucidate the efficacy of process via entropy production minimization approach [introduced by Bejan (1982)].…”

Section: Introductionmentioning

confidence: 99%

Role of curved walls on efficient thermal convection in porous beds confined within enclosures: heatline and entropy production maps

Priyanka

Biswal

Basak

2022

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Purpose This study aims to elucidate the role of curved walls in the presence of identical mass of porous bed with identical heating at a wall for two heating objectives: enhancement of heat transfer to fluid saturated porous beds and reduction of entropy production for thermal and flow irreversibilities. Design/methodology/approach Two heating configurations have been proposed: Case 1: isothermal heating at bottom straight wall with cold side curved walls and Case 2: isothermal heating at left straight wall with cold horizontal curved walls. Galerkin finite element method is used to obtain the streamfunctions and heatfunctions associated with local entropy generation terms. Findings The flow and thermal maps show significant variation from Case 1 to Case 2 arrangements. Case 1 configuration may be the optimal strategy as it offers larger heat transfer rates at larger values of Darcy number, Dam. However, Case 2 may be the optimal strategy as it provides moderate heat transfer rates involving savings on entropy production at larger values of Dam. On the other hand, at lower values of Dam (Dam ≤ 10−3), Case 1 or 2 exhibits almost similar heat transfer rates, while Case 1 is preferred for savings of entropy production. Originality/value The concave wall is found to be effective to enhance heat transfer rates to promote convection, while convex wall exhibits reduction of entropy production rate. Comparison between Case 1 and Case 2 heating strategies enlightens efficient heating strategies involving concave or convex walls for various values of Dam.

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“…Sheremet and Pop (2015) investigated numerically the effects of sinusoidal temperature distributions inside walls of a wavy porous cavity filled with nanofluid. Sojoudi et al (2014) adopted implicit finite volume method with Tri-Diagonal Matrix Algorithm (TDMA) solver to study the free convection within a porous cavity with differential heating using modified corrugated side walls. In their model, the sinusoidal hot left and cold right walls are assumed to receive sudden differentially heating where top and bottom walls are insulated.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of natural convection using unsteady compressible Navier-stokes equations

Elgendi

Aly

2017

HFF

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Purpose Boussinesq approximation is widely used in solving natural convection problems, but it has severe practical limitations. Using Boussinesq approximation, the temperature difference should be less than 28.6 K. The purpose of this study is to get rid of Boussinesq approximation and simulates the natural convection problems using an unsteady compressible Navier-Stokes solver. The gravity force is included in the source term. Three temperature differences are used namely 20 K, 700 K and 2000 K. Design/methodology/approach The calculations are carried out on the square and sinusoidal cavities. The results of low temperature difference have good agreement with the experimental and previous calculated data. It is found that, the high temperature difference has a significant effect on the density. Findings Due to mass conservation, the density variation affects the velocity distribution and its symmetry. On the other hand, the density variation has a negligible effect on the temperature distribution. Originality/value The present calculation method has no limitations but its convergence is slow. The current study can be used in fluid flow simulations for nuclear power applications in natural convection flows subjected to large temperature differences.

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Unsteady Natural Convection Within a Porous Enclosure of Sinusoidal Corrugated Side Walls

Cited by 12 publications

References 39 publications

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

Role of curved walls on efficient thermal convection in porous beds confined within enclosures: heatline and entropy production maps

Numerical simulation of natural convection using unsteady compressible Navier-stokes equations

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