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Conjugate natural convection heat transfer in an open-ended square cavity partially filled with porous media

TLDR
In this article, a new lattice Boltzmann (LB) approach was developed to overcome the difficulty of conjugate problems on fluid-porous interfaces, which is validated by three benchmark tests.
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This article is published in International Journal of Heat and Mass Transfer.The article was published on 2018-09-01 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Porous medium & Thermal conductivity.

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Citations
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Natural Convection Heat Transfer in a Porous Cavity with Sinusoidal Temperature Distribution Using Cu/Water Nanofluid: Double MRT Lattice Boltzmann Method

TL;DR: Sajjadi et al. as mentioned in this paper used double multi relaxation time (MRT) Lattice Boltzmann method to analyze the natural convection flow in a porous cavity with sinusoidal temperature distribution.
Journal ArticleDOI

Thermal and electrical efficiencies enhancement of a solar photovoltaic-thermal/air system (PVT/air) using metal foams

TL;DR: In this article, the effects of the porous media on both thermodynamic and hydrodynamic characteristics of the system, i.e., velocity profiles and the pressure drop, were investigated numerically.
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Mixed convection enhancement by using optimized porous media and nanofluid in a cavity with two rotating cylinders

TL;DR: In this paper, the effect of multi-block porous media and nanoparticles addition to the base fluid on the average Nusselt number was studied in various conditions and the optimal distribution of pore size in the porous media was determined in a manner to maximize the heat transfer rate using the pattern search optimization algorithm.
Journal ArticleDOI

Conjugated heat transfer analysis of a foam filled double-pipe heat exchanger for high-temperature application

TL;DR: In this paper, a double-pipe heat exchanger filled with open-cell porous foam is analyzed to analyze the high-temperature heat transfer behavior in a doublepipe heat exchange.
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Heat transfer and entropy generation of laminar mixed convection in an inclined lid driven enclosure with a circular porous cylinder

TL;DR: In this paper, the effect of the inclination angle on convective heat transfer and entropy generation in an inclined lid driven square enclosure with a circular porous cylinder positioned at the center has been investigated numerically.
References
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Journal ArticleDOI

A lattice boltzmann model for convection heat transfer in porous media

TL;DR: In this paper, a lattice Boltzmann model for convection heat transfer in porous media is proposed, where a new distribution function is introduced to simulate the temperature field in addition to the density distribution function for the velocity field.
Journal ArticleDOI

Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure

TL;DR: In this paper, a modelisation of l'ecoulement dans la couche poreuse a l'aide de l'equation de Darcy et endue par Brinkman et Forchheimer is presented.
Journal ArticleDOI

A review on natural convection in enclosures for engineering applications. The particular case of the parallelogrammic diode cavity

TL;DR: In this paper, a review of some results of research on natural convection in cavities is presented, which serves to underline the broad spectrum of scientific and engineering fields where the knowledge of natural convections in enclosures is advantageously applied.
Journal ArticleDOI

Conjugate heat transfer in a porous cavity filled with nanofluids and heated by a triangular thick wall

TL;DR: In this article, the authors studied the conjugate natural convection-conduction heat transfer in a square domain composed of nanofluids filled porous cavity heated by a triangular solid wall under steady-state conditions.
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Frequently Asked Questions (18)
Q1. What are the contributions in "Conjugate natural convection heat transfer in an open-ended square cavity partially filled with porous media" ?

With the aid of this LB approach, the authors investigate the effects of thickness of porous layer, fluid-to-porous thermal conductivity ratio and Preprint submitted to Elsevier Science 16 March 2018 permeability of porous layer on conjugate natural convection heat transfer in an open-ended porous-partially-filled square cavity, for the first time. The present results may provide useful theoretical guides for the relevant practical applications. 

Finally, it has been demonstrated that the present model can be used for unsteady conjugate heat transfer problems, which will be considered in their future work. 

For traditional numerical techniques, to appropriately treat conjugate heat transfer across fluid/porous interface is a great challenge, especially for complicate geometry [14]. 

the dominant heat transfer mechanism in the porous layer is heat conduction as the isotherms in the porous zone are nearly parallel with the vertical hot wall, especially for a very thin porous layer (e.g. d/L = 0.1). 

When the permeability of the porous zone is high (e.g. Da = 10−1), the cold fluid from the environment can successfully penetrate the interface and form a large clockwise vortex. 

For a poor permeable porous layer (e.g. Da = 10−5), as the drag resistance is large and the saturating fluid moves slowly, heat conduction dominates the porous zone. 

for a porous layer with low permeability (e.g. Da = 10−5), the intensity of heat transfer will monotonically decrease against the height of the hot wall. 

Compared with the thickness of the porous layer, the intensity of heat transfer is more sensitive to effective thermal conductivity of the porous layer, especially when Rk is lessthan unity. 

the temperature gradient in the porous zone is slight and the distribution of temperature looks very uniform within the porous layer. 

The governing equations for heat transfer in an open-ended enclosure, where porous media and pure fluid coexist, can be written as [14,25]∂αuα = 0, (1)∂tuα + uβ∂β uα ε = −∂αεp+ ∂βνe(∂αuβ + ∂βuα) + 

In a lot of practical applications, an enclosure is usually partially filled with porous media, e.g. a room with multi-layer building materials[12] or a new type of solar energy receiver [13] . 

(12)and the effective thermal diffusivity κe is given byκe = σ0(τT − 1/2)c2sΔt. (13)According to Eq.(13), it is clear that in the present model the effective thermal diffusivity depends on σ0 , rather than σ in Guo’s model (c.f. Eq.(30) in [37]). 

In addition, according to the presentwork, one must pay high attention to the effect of permeability of porous media on the uniform of temperature distribution in a solar thermal receiver, as seriously non-uniform temperature distribution will damage its life and overall efficiency. 

according to this figure, one can observe that a thicker porous layer will suppress the circulation in the fluid zone while enhance the circulation within the porous area as establishment and development of free convectional flow require sufficient space. 

In this subsection the authors set ε = 0.6, Ra = 105, σporous = 1.0, d/L = 0.3 and Rk = 1, while the Darcy number varies over a wide range 10−1 ≤ Da ≤ 10−5. 

5.2 Effect of porous-to-fluid thermal conductivity ratioIn order to reveal the effect of porous-to-fluid thermal conductivity ratio Rk, in this subsection the authors set Da = 10−3, ε = 0.6, Ra = 105, σporous = 1.0 and d/L = 0.3, while Rk varies between 0.1 and 10. 

As shown below, it is the key to model conjugate heat transfer across fluid/porous interface with arbitrary heat capacitance ratio (i.e. σporous = 1 in Eq.(6)). 

Natural convection in a horizontal open-ended axisymmetric cavity was investigated experimentally by the holographic interferometry technique [5].