Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect

Sheremet, Mikhail А.; Revnic, Cornelia; Pop, Ioan

doi:10.1016/j.amc.2016.11.032

Cited by 45 publications

(17 citation statements)

References 51 publications

(67 reference statements)

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“…Sheremet et al [41] studied the effects of sinusoidal temperature for side walls on natural convection in a wavy porous cavity filled with a nanofluid. In addition, Sheremet et al [42] investigated the effects of thermal dispersion on free convection in a porous cavity filled with a nanofluid using Buongiorno's mathematical model. Sheremet et al [43] modelled the free convection in an inclined wavy enclosure filled with a Cu-water nanofluid including isothermal heater at the corner.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer enhancement in the complex geometries filled with porous media

2021

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The present numerical investigation aims to analysis the enhancement heat transfer in the nanofluid filled-complex geometries saturated with a partially layered porous medium. The vertical walls of the cavity are taken as complex wavy geometries. The horizontal walls of the cavity are flat with insulated temperature. The complex wavy cavity is filled with a nanofluid and the upper half of the wavy cavity is saturated with the porous medium. In the analysis, the governing equations are formulated for natural convection under the Boussinesq approximation in various environments including pure-fluid, nanofluid, and porous medium. In this investigation, the effects of the Rayleigh number (10 3 ≤ ≤ 10 5), Darcy parameter (10 −6 ≤ ≤ 10 −3), thermophoresis parameter (0.1 ≤ ≤ 0.5), nanofluid buoyancy ratio (0.1 ≤ ≤ 0.5), Brownian motion parameter (0.1 ≤ ≤ 0.5), inclination angle (0 0 ≤ ≤ 90 0), and geometry parameters 1 and have been studied on the streamlines, temperature, nanoparticles volume fraction, local Nusselt number and the local Sherwood number ℎ. It is found that, the performance of the heat transfer can be improved by adjusting the geometry parameters of the wavy surface. Overall, the results showed that the nanofluid parameters enhance the convection heat transfer and the obtained results provide a useful insight for enhancing heat transfer in two separate layers of nanofluid and porous medium inside complex-wavy cavity.

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Section: Introductionmentioning

confidence: 99%

Heat transfer enhancement in the complex geometries filled with porous media

2021

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“…3 The Buongiorno model is based on the mechanism of Brownian diffusion and thermosteresis. A lot of surveys have been executed to inquire the heat conveyance enhancement in nanofluid under these mechanisms, for example, Sheremet and Pop, 4 Sheremet et al, 5 Yu et al, 6 Raju et al, 7 Turkyilmazoglu, 8 and Ahmed and Rashed. 9 Besides, Tiwari-Das model is considered for nanoparticles volume fraction based on Brownian motion and thermophoresis impressions.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of micropolar SWCNTs nanofluid with heat transfer

et al. 2020

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The present study is aimed to analyze the unsteady micropolar nanofluid flow passing over an oscillating infinite vertical plate. The flow is affected by thermal radiation and Newtonian heating. Single-walled carbon nanotubes (SWCNTs) are added to enrich the thermal properties of the micropolar fluid. Kerosene is taken as the base liquid to enhance heat transfer. By using dimensional analysis, the governing equations for temperature, velocity, and microrotation are reduced to dimensionless form and after that, these equations have been solved by applying Laplace transform method to get the exact solutions. Finally, we have presented the effects of material and flow parameters and illustrated graphically by the Mathcad software. We found that microrotation, temperature, and velocity are decreasing functions of Prandtl number but have shown increasing behavior for Grashof number. Furthermore, we found that SWCNTs-water-based nanofluid has a comparatively higher heat transfer rate than SWCNTs-kerosene and SWCNTs-engine oil-based nanofluids.

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“…However, the obvious disadvantage is that the constant thermal diffusivity assumption is not appropriate to describe mixing processes (Thiele 1997;Sheremet et al 2017;Wen et al 2018).…”

Section: Introductionmentioning

confidence: 99%

Study of the Effect of Thermal Dispersion on Internal Natural Convection in Porous Media Using Fourier Series

et al. 2019

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Natural convection in a porous enclosure in the presence of thermal dispersion is investigated. The Fourier-Galerkin (FG) spectral element method is adapted to solve the coupled equations of Darcy's flow and heat transfer with a full velocity-dependent dispersion tensor, employing the stream function formulation. A sound implementation of the FG method is developed to obtain accurate solutions within affordable computational costs. In the spectral space, the stream function is expressed analytically in terms of temperature, and the spectral system is solved using temperature as the primary unknown. The FG method is compared 1 to finite element solutions obtained using an in-house code (TRACES), OpenGeoSys and COMSOL Multiphysics ®. These comparisons show the high accuracy of the FG solution which avoids numerical artifacts related to time and spatial discretization. Several examples having different dispersion coefficients and Rayleigh numbers are tested to analyze the solution behavior and to gain physical insight into the thermal dispersion processes. The effect of thermal dispersion coefficients on heat transfer and convective flow in a porous square cavity has not been investigated previously. Here, taking advantage of the developed FG solution, a detailed parameter sensitivity analysis is carried out to address this gap. In the presence of thermal dispersion, the Rayleigh number mainly affects the convective velocity and the heat flux to the domain. At high Rayleigh numbers, the temperature distribution is mainly controlled by the longitudinal dispersion coefficient. Longitudinal dispersion flux is important along the adiabatic walls while transverse dispersion dominates the heat flux toward the isothermal walls. Correlations between the average Nusselt number and dispersion 2 coefficients are derived for three Rayleigh number regimes.

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Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect

Cited by 45 publications

References 51 publications

Heat transfer enhancement in the complex geometries filled with porous media

Heat transfer enhancement in the complex geometries filled with porous media

Exact solutions of micropolar SWCNTs nanofluid with heat transfer

Study of the Effect of Thermal Dispersion on Internal Natural Convection in Porous Media Using Fourier Series

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