Effect of the subdivision of an obstacle on the natural convection heat transfer in a square cavity

Raji, A.; Hasnaoui, M.; Naïmi, Mohamed; Slimani, Karim; Ouazzani, M. T.

doi:10.1016/j.compfluid.2012.07.014

Cited by 52 publications

(16 citation statements)

References 18 publications

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“…υ and α f are the kinematic viscosity and thermal diffusivity of the fluid phase. For the purpose of validation, the Nusselt number computed at the hot wall is compared with values computed with numerical simulation using the finite-volume method reported in [31,32]. The Nusselt number is defined as…”

Section: F Application: Natural Convection In Porous Enclosurementioning

confidence: 99%

Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media

2015

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In this paper, we propose an approach for studying conjugate heat transfer using the lattice Boltzmann method (LBM). The approach is based on reformulating the lattice Boltzmann equation for solving the conservative form of the energy equation. This leads to the appearance of a source term, which introduces the jump conditions at the interface between two phases or components with different thermal properties. The proposed source term formulation conserves conductive and advective heat flux simultaneously, which makes it suitable for modeling conjugate heat transfer in general multiphase or multicomponent systems. The simple implementation of the source term approach avoids any correction of distribution functions neighboring the interface and provides an algorithm that is independent from the topology of the interface. Moreover, our approach is independent of the choice of lattice discretization and can be easily applied to different advection-diffusion LBM solvers. The model is tested against several benchmark problems including steady-state convection-diffusion within two fluid layers with parallel and normal interfaces with respect to the flow direction, unsteady conduction in a three-layer stratified domain, and steady conduction in a two-layer annulus. The LBM results are in excellent agreement with analytical solution. Error analysis shows that our model is first-order accurate in space, but an extension to a second-order scheme is straightforward. We apply our LBM model to heat transfer in a two-component heterogeneous medium with a random microstructure. This example highlights that the method we propose is independent of the topology of interfaces between the different phases and, as such, is ideally suited for complex natural heterogeneous media. We further validate the present LBM formulation with a study of natural convection in a porous enclosure. The results confirm the reliability of the model in simulating complex coupled fluid and thermal dynamics in complex geometries.

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Section: F Application: Natural Convection In Porous Enclosurementioning

confidence: 99%

Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media

2015

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“…Even though there have been these numerous investigations conducted on natural convection in partitioned enclosures, under many configurations and boundary conditions, relatively few studies were documented in the case of cavities containing several blocks (three partitions and more), [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Impact of Square Fuel Assemblies Arrangement on Fluid Flow and Heat Transfer Enhancement inside Water Filled Enclosures

Ragui

Boutra

Benkahla

2016

ILCPA

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Abstract. Through this paper, the hydrodynamic and thermal characteristics of a Newtonian fluid within a square cold enclosure containing four inner heaters, arranged in different manners, are numerically investigated. To do so, a developed computer code based on the finite volume method and the SIMPLER algorithm is used. The validity of the latter was ascertained after the comparison between the obtained results and the experimental and numerical ones already available in the literature. To make clear the effect of pertinent parameters such the Rayleigh number and the distance between these heaters, the phenomenon was reported by means of Streamlines, Isotherm plots, velocity and temperature profiles, with a special attention to the local and average Nusselt number evolution. As shown in the latter, taking into account the heaters' arrangement into the enclosure leads to a significant improvement of the overall transfer. Consequently, powerful correlations predicting the heat transfer ratio into the cold square as a function of the heaters' disposition are proposed which predict within ±1% the numerical results.

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“…Later on, Raji et al [13] investigated the effect of the subdivision of an obstacle on the natural convection heat transfer in a square enclosure. They showed that, the results of the saturated porous medium are recovered when the number of blocks is large enough.…”

Section: Introductionmentioning

confidence: 99%

Natural Convection Around a Heat Conducting and Generating Solid Body Inside a Square Enclosure With Different Thermal Boundaries

Nithyadevi¹,

Umadevi²

2015

Journal of the Korea Society for Industrial and Applied Mathema

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ABSTRACT. Two-dimensional steady laminar natural convection around a heat conducting and generating solid body inside a square enclosure with different thermal boundaries is performed. The mathematical model is governed by the coupled equation of mass, momentum and energy. These equations are discretized by finite volume method with power-law scheme and solved numerically by SIMPLE algorithm with under-relaxation technique. Effect of Rayleigh number, temperature difference ratio of solid-fluid, aspect ratio of solid-enclosure and the thermal conductivity ratio of solid-fluid are investigated numerically for P r = 0.7. The flow and heat transfer aspects are demonstrated in the form of streamlines and isotherms respectively.

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Effect of the subdivision of an obstacle on the natural convection heat transfer in a square cavity

Cited by 52 publications

References 18 publications

Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media

Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media

Impact of Square Fuel Assemblies Arrangement on Fluid Flow and Heat Transfer Enhancement inside Water Filled Enclosures

Natural Convection Around a Heat Conducting and Generating Solid Body Inside a Square Enclosure With Different Thermal Boundaries

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