Natural convection in a shallow cavity containing two superposed layers of immiscible binary liquids

Alloui, Z.; Bennacer, Rachid; Béji, H.; Vasseur, P.

doi:10.1007/s00707-008-0049-z

Cited by 4 publications

(2 citation statements)

References 30 publications

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“…Porous anisotropic medium in natural convection with the Darcy-Brinkman formulation has been studied par by Bennacer et al, [45], they observed that a mass transfer maximum was obtained for a critical anisotropic permeability ratio, this ratio affects the convective flow along a vertical plate in a porous medium with isotropic permeability Degan [46]. Homogeneous porous media saturated by a binary fluid was chosen by Makhloufi et al, [47][48][49][50][51] to reveal the influence of anisotropic permeability rate on the decrease of heat transfers and the existence of a fully and the moderately convective flow. Ould-Amer et al, [52] have showed that convective flow is intensive in the first layer (of higher permeability) in a porous medium composed of three homogeneous layers saturated by a single fluid, on the other hand Chamkha, et al, [53] confirm that with the aid of a nanofluid enhances heat transfer even at a low permeable porous media, this enhancement can be also fulfilled by hybrid nanofluids for flow with anisotropic permeability at high Rayleigh number Bibi et al, [54,55].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Natural Convection in a Porous Square Cavity Saturated by Nanofluid Using Buongiorno Model: Variable Permeability Effect on Homogeneous Porous Medium

Cherifa

Bouzit²,

Abderrahim³

et al. 2022

CFDL

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This paper investigated numerically a natural convection in a porous cavity saturated by nanofluide. The left and right wall of the cavity are maintained at the hot-cold temperature respectively, the other walls are adiabatic. The two-phase Buongiorno model has been adopted to take account Brownian and thermophoretic diffusion in order to demonstrate the spatial distribution of the local nanoparticles concentration. After following the temporal evolution of the different structures (0<τ<5), Numerical simulations are performed to explore the effect of density buoyancy (104<Ra<106), the permeability of the homogeneous porous medium (10-5<Da<10-2), on the hydrodynamic, thermal and mass behavior. An original motivation was also introduced in our work to examine the effect of linearly variable permeability along the opposite direction of the cavity by varying the initial Darcy number from (10-5<Da<10-2) and fixing the final Darcy number Daf =10-5. The dimensionless partial differential equations are solved using the finite element method. The effects of the governing parameters on heat transfer are analyzed. Results indicate that the stationary regime is formed after the unsteady regime at dimensionless time τ = 0.3. The movement of nanofluide is strongly influenced by thermal buoyancy forces and depends on the Darcy number, heat transfer is accentuated for the homogenous medium compared to this one with variable permeability. It is found that the convective flow in a homogeneous porous medium is considerably affected by the variation of permeability and consequently the heat transfer is reduced.

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Section: Introductionmentioning

confidence: 99%

Unsteady Natural Convection in a Porous Square Cavity Saturated by Nanofluid Using Buongiorno Model: Variable Permeability Effect on Homogeneous Porous Medium

Cherifa

Bouzit²,

Abderrahim³

et al. 2022

CFDL

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“…They showed that the velocity in both the layers reduces by increasing the Hartmann number. Some of the further advancements in the multi‐layer study include the works of Simanovskii (2007), Li et al (2008, 2009) and Alloui et al (2009). Recently, Cha et al (2009) considered a two‐layer system of ferro‐fluid over water and studied the effect of variable magnetic field on the flow pattern and interface deformation.…”

Section: Introductionmentioning

confidence: 99%

Effect of magnetic field on thermocapillary convection in a system of two immiscible liquid layers in a rectangular cavity

Saleem

Hossain

Gorla

2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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PurposeThe purpose of this paper is to conduct a numerical study of the effect of magnetic field on thermocapillary convection of a two layered system of Newtonian fluids, confined in a rectangular cavity. The flow within the cavity is subject to the horizontal temperature gradient. Attention is focused on how the heat transfer and flow properties are affected subject to the applied magnetic field, particularly in the lower layer. For this purpose, the fluid combinations of di‐Boron Trioxide (B2O3) over Gallium Arsenide GaAs (III‐V), and Silicon oil 10 cSt over Fluorinert FC 70 are considered in the present study.Design/methodology/approachThe non‐linear two‐dimensional vorticity transport equations along with the energy equations are solved for the two liquid layers using the Alternate Direct Implicit method, whereas the elliptic partial differential equations of the stream function are solved using the Successive Over Relaxation method.FindingsIt was found that despite the significant reduction of flow in the two layers, the number of cells in the lower layer increases with the increase in Hartmann number Ha. However, the flow intensity decreases with the increase in Hartmann number. This decrease is more pronounced in the lower layer, as compared to the upper layer. The numerical scheme employed for the solution is found to be in good agreement with the previous work.Research limitations/implicationsThe analysis is made for two layer liquid system with undeformable interface and free surface. The detailed study of the effect of magnetic field on oscillatory Marangoni convection in two layer system with deformable interface is left for future work.Practical implicationsThe approach is useful in optimizing the flow properties of the fluids in a two layer system, particularly the lower layer, to yield the results of potential practical interest.Originality/valueThe results of the study may be of some interest to researchers in the field of semiconductor technology, as the melt control is intensively investigated for the development in the manufacture of defect‐free semiconductors and crystals.

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Study of multilayer flow of two immiscible nanofluids in a duct with viscous dissipation

Umavathi,

Basavarajappa

2023

Physics of Fluids

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Numerical simulations for the mixed convective multilayer flow of two different immiscible nanofluids in a duct with viscous heating effects were performed in this study. The left and right faces of the duct are maintained to be isothermal, while other side faces are insulated. The mathematical governing system for each layer consists of an incompressibility condition equation, the Navier–Stokes momentum equation, and the conservation of energy equation. At the interface of the immiscible layer, the continuity of velocity, shear stress, temperature, and heat flux are considered. The dimensionless equations governing each layer were numerically integrated using the finite difference method and the Southwell-over-relaxation method. A mesh independence test is conducted. Furthermore, a parametric study is performed to analyze how the different nanoparticle volume fractions and viscous heating affect the transport characteristics of engine oil–copper and mineral oil–silver nanofluids. The study also examined the effects of various types of nanoparticles and base fluids. The results demonstrated that heat transport could be efficiently controlled by considering the viscous heating aspect. Moreover, the effects of different nanoparticles on heat transport were found to be more significant than those of base fluids. Finally, a point-wise comparison of our numerical results demonstrates a good agreement with existing studies in the literature.

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Natural convection in a shallow cavity containing two superposed layers of immiscible binary liquids

Cited by 4 publications

References 30 publications

Unsteady Natural Convection in a Porous Square Cavity Saturated by Nanofluid Using Buongiorno Model: Variable Permeability Effect on Homogeneous Porous Medium

Unsteady Natural Convection in a Porous Square Cavity Saturated by Nanofluid Using Buongiorno Model: Variable Permeability Effect on Homogeneous Porous Medium

Effect of magnetic field on thermocapillary convection in a system of two immiscible liquid layers in a rectangular cavity

Study of multilayer flow of two immiscible nanofluids in a duct with viscous dissipation

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