MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model

Abstract The problem of steady, laminar natural convection in a discretely heated and cooled square cavity filled by an alumina/water nanofluid with a centered heat-conducting solid block under the effects of inclined uniform magnetic field, Brownian diffusion and thermophoresis is studied numerical...

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Autores principales: A. I. Alsabery, M. A. Sheremet, A. J. Chamkha, I. Hashim
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Publicado: Nature Portfolio 2018
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Acceso en línea:https://doaj.org/article/cc74863aff87440dab8bca95f07d843f
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spelling oai:doaj.org-article:cc74863aff87440dab8bca95f07d843f2021-12-02T15:05:02ZMHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model10.1038/s41598-018-25749-22045-2322https://doaj.org/article/cc74863aff87440dab8bca95f07d843f2018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25749-2https://doaj.org/toc/2045-2322Abstract The problem of steady, laminar natural convection in a discretely heated and cooled square cavity filled by an alumina/water nanofluid with a centered heat-conducting solid block under the effects of inclined uniform magnetic field, Brownian diffusion and thermophoresis is studied numerically by using the finite difference method. Isothermal heaters and coolers are placed along the vertical walls and the bottom horizontal wall, while the upper horizontal wall is kept adiabatic. Water-based nanofluids with alumina nanoparticles are chosen for investigation. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 106), the Hartmann number (0 ≤ Ha ≤ 50), thermal conductivity ratio (0.28 ≤ k w  ≤ 16), centered solid block size (0.1 ≤ D ≤ 0.7) and the nanoparticles volume fraction (0 ≤ ϕ ≤ 0.04). The developed computational code is validated comprehensively using the grid independency test and numerical and experimental data of other authors. The obtained results reveal that the effects of the thermal conductivity ratio, centered solid block size and the nanoparticles volume fraction are non-linear for the heat transfer rate. Therefore, it is possible to find optimal parameters for the heat transfer enhancement in dependence on the considered system. Moreover, high values of the Rayleigh number and nanoparticles volume fraction characterize homogeneous distributions of nanoparticles inside the cavity. High concentration of nanoparticles can be found near the centered solid block where thermal plumes from the local heaters interact.A. I. AlsaberyM. A. SheremetA. J. ChamkhaI. HashimNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-23 (2018)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
A. I. Alsabery
M. A. Sheremet
A. J. Chamkha
I. Hashim
MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
description Abstract The problem of steady, laminar natural convection in a discretely heated and cooled square cavity filled by an alumina/water nanofluid with a centered heat-conducting solid block under the effects of inclined uniform magnetic field, Brownian diffusion and thermophoresis is studied numerically by using the finite difference method. Isothermal heaters and coolers are placed along the vertical walls and the bottom horizontal wall, while the upper horizontal wall is kept adiabatic. Water-based nanofluids with alumina nanoparticles are chosen for investigation. The governing parameters of this study are the Rayleigh number (103 ≤ Ra ≤ 106), the Hartmann number (0 ≤ Ha ≤ 50), thermal conductivity ratio (0.28 ≤ k w  ≤ 16), centered solid block size (0.1 ≤ D ≤ 0.7) and the nanoparticles volume fraction (0 ≤ ϕ ≤ 0.04). The developed computational code is validated comprehensively using the grid independency test and numerical and experimental data of other authors. The obtained results reveal that the effects of the thermal conductivity ratio, centered solid block size and the nanoparticles volume fraction are non-linear for the heat transfer rate. Therefore, it is possible to find optimal parameters for the heat transfer enhancement in dependence on the considered system. Moreover, high values of the Rayleigh number and nanoparticles volume fraction characterize homogeneous distributions of nanoparticles inside the cavity. High concentration of nanoparticles can be found near the centered solid block where thermal plumes from the local heaters interact.
format article
author A. I. Alsabery
M. A. Sheremet
A. J. Chamkha
I. Hashim
author_facet A. I. Alsabery
M. A. Sheremet
A. J. Chamkha
I. Hashim
author_sort A. I. Alsabery
title MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
title_short MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
title_full MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
title_fullStr MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
title_full_unstemmed MHD convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
title_sort mhd convective heat transfer in a discretely heated square cavity with conductive inner block using two-phase nanofluid model
publisher Nature Portfolio
publishDate 2018
url https://doaj.org/article/cc74863aff87440dab8bca95f07d843f
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AT masheremet mhdconvectiveheattransferinadiscretelyheatedsquarecavitywithconductiveinnerblockusingtwophasenanofluidmodel
AT ajchamkha mhdconvectiveheattransferinadiscretelyheatedsquarecavitywithconductiveinnerblockusingtwophasenanofluidmodel
AT ihashim mhdconvectiveheattransferinadiscretelyheatedsquarecavitywithconductiveinnerblockusingtwophasenanofluidmodel
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