Natural convection in a square cavity filled with a porous medium saturated with a nanofluid using the thermal nonequilibrium model with a Tiwari and Das nanofluid model

Sheremet, Mikhail А.; Pop, Ioan

doi:10.1016/j.ijmecsci.2015.07.007

Cited by 87 publications

(32 citation statements)

References 19 publications

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“…Following afore-said assumptions and taking into account the Darcy-Brinkman model for transport in porous media [40][41]; the dimensional equations which govern the present study are as follows [36][37]:…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…It was established that rate of heat transfer highly affected by the applied interface model. Sheremet et al [36] used the Tiwari and Das [37] nanofluid model and studied convective heat transfer in a square porous enclosure considering two temperature equations: one for nanofluid and other for the solid matrix. They found that increased nanoparticles volume fraction represses the convective flow.…”

Section: Introductionmentioning

confidence: 99%

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Convective heat transmission inside a porous trapezoidal enclosure occupied by nanofluids: local thermal nonequilibrium conditions for a porous medium

Al-Weheibi¹,

Rahman²

2018

TI-IJES

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This study investigates numerically the local thermal nonequilibrium conditions among the Cu-H2O nanofluid and the Aluminum foam porous matrix for the unsteady free convective flow within an enclosure of right-angle trapezoidal type. For mathematical formulation, the horizontal walls of the enclosure are well-thought-out to be adiabatic while having dissimilar temperatures for the vertical and inclined walls. To gain the physical insight of the problem, the dimensionless constitutive equations are simulated by means of finite element method (FEM) using Comsol Multiphysics a pde solver. For jurisdiction of the obtained numerical results, we compared them with the available works in the literature and a noble covenant is accomplished. The simulated data for isotherms and dimensionless temperature profiles along lines = and = 2 − 0.05 inside the cavity are displayed for different key parameters. The results show that Nield and Darcy numbers are the key parameters which strongly control the state of local thermal nonequilibrium among the solid matrix and the nanofluid.

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Section: Mathematical Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Convective heat transmission inside a porous trapezoidal enclosure occupied by nanofluids: local thermal nonequilibrium conditions for a porous medium

Al-Weheibi¹,

Rahman²

2018

TI-IJES

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“…Considering the benefits with the possible use of nanofluids in many industrial systems, natural convection heat transfer studies with nanofluid in the porous cavities are initiated and large numbers of numerical studies were performed [14][15][16][17][18][19][20][21][22][23][24]. Buongiorno [14] summarized the slip mechanisms that act on the nanoparticles whilst moving into the base fluids.…”

Section: Introductionmentioning

confidence: 99%

Natural convection enhancement in a porous cavity with Al2O3-Ethylene glycol/water nanofluids

Solomon

Sharifpur

Ottermann

et al. 2017

International Journal of Heat and Mass Transfer

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The natural convection heat transfer of a differentially heated cavity filled with porous material and saturated with nanofluid is studied. The nanofluid used in the present study contains 60% Ethylene glycol, 40% DIwater and 30 nm size Al2O3 nanoparticles. The volume concentration of nanofluid used is in the range of 0.05% ≤ ≤ 0.4%. The range of Rayleigh number in the present study is 1.2 x 10 8 ≤ Ra ≤ 4 x 10 8 for clear cavity and 3 x 10 3 ≤ Ra ≤ 1.3 x 10 4 for the porous cavity. Viscosity of the nanofluid is also measured at volume concentration of 0.05% and found one available model works for the calculations. In order to explain the heat transfer behaviour of the present system, heat transferred by both clear and porous cavity, heat transfer coefficients of both hot and cold wall, as well as Nusselt number variation with concentrations of nanofluids are presented. It is found that the performance of porous cavity filled with a nanofluid volume concentration of 0.05% is enhanced while the other concentrations of nanofluids deteriorate the performance. At a volume concentration of 0.05%, the heat transfer capability of porous cavity is enhanced to a maximum of 10% compared to the base fluids. 3

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“…The emphasis on the study of natural convection [6][7][8][9][10][11][12][13][14][15][16][17][18], combined radiation and natural convection [19], conjugate heat transfer [20][21][22], and the thermal nonequilibrium approach to investigating heat transfer and fluid flow behavior [23][24][25][26][27] have been reported. In addition to the above, heat and mass transfer [28][29] and heat transfer in square cavities are also discussed in detail [30][31][32][33][34][35][36][37][38][39][40][41][42]. Viscous dissipation is an interesting phenomenon that arises due to friction between the moving fluid and the solid matrix of the porous medium.…”

Section: Introductionmentioning

confidence: 99%

Double Diffusive Convection and the Improvement of Flow in Square Porous Annulus

Ali¹,

Al‐Rashed²,

Alnaqi³

2017

IJERA

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There has been increased interest shown in recent years to investigate the behavior of heat and mass transfer in a square annulus with a porous medium fixed between the inner and outer walls. This paper aims to evaluate the Soret effect arising in the case of heat and mass transfer in a porous medium bounded by a square annulus and subjected to isothermal heating of the inner surfaces as well as the outer horizontal surfaces. The phenomenon is governed by 3 partial differential equations, the momentum, energy and concentration equations, that are coupled together and result in a situation where change in one variable affects the other equations and vice versa. The partial differential equations are converted into finite element equations with the help of the Galerkin method and then solved to predict solution variables such as temperature, stream function and concentration in the porous medium. It is found that the heat transfer rate at the hot wall decreases with increasing viscous dissipation effect in the porous medium.

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Natural convection in a square cavity filled with a porous medium saturated with a nanofluid using the thermal nonequilibrium model with a Tiwari and Das nanofluid model

Cited by 87 publications

References 19 publications

Convective heat transmission inside a porous trapezoidal enclosure occupied by nanofluids: local thermal nonequilibrium conditions for a porous medium

Convective heat transmission inside a porous trapezoidal enclosure occupied by nanofluids: local thermal nonequilibrium conditions for a porous medium

Natural convection enhancement in a porous cavity with Al2O3-Ethylene glycol/water nanofluids

Double Diffusive Convection and the Improvement of Flow in Square Porous Annulus

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