Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids

Bilal Elhajjar; Glades Bachir; Abdelkader Mojtabi; Chakib Fakih; Marie Catherine Charrier-Mojtabi

doi:10.1016/j.crme.2010.07.008

Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids
[Modélisation des transferts de chaleur en configuration de Rayleigh–Bénard dans les nanofluides]

Bilal Elhajjar ^1,² ; Glades Bachir ^1,^2,³ ; Abdelkader Mojtabi ^1,² ; Chakib Fakih ³ ; Marie Catherine Charrier-Mojtabi ⁴

¹ Université de Toulouse, INPT, UPS, IMFT (institut de mécanique des fluides de Toulouse), allée Camille-Soula, 31400 Toulouse, France
² CNRS, IMFT, 31400 Toulouse, France
³ Faculty of Engineering, Lebanese University, Beirut, Lebanon
⁴ Université de Toulouse, UPS, laboratoire phase, 118, route de Narbonne, 31400 Toulouse, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 6, pp. 350-354.

Résumé
Abstract

Le transfert de chaleur en configuration de Rayleigh–Bénard est analysé pour trois nanofluides différents. Au lieu de recourir aux relations que l'on trouve habituellement dans la littérature pour la capacité calorifique et le coefficient d'expansion thermique, nous avons utilisé deux relations en adéquation avec les lois de la thermodynamique. On étudie l'influence de la concentration en nanoparticules sur le transfert conductif et convectif. On a montré que la naissance de la convection est retardée par l'ajout de nanoparticules. Contrairement à ce qui a été obtenu par plusieurs auteurs, nous avons montré à partir de simulations numériques directes que la présence de nanoparticules dans un fluide peut réduire le transfert de chaleur au lieu de l'augmenter.

Heat transfer in Rayleigh–Bénard convection is investigated for three types of nanofluid. Instead of using the expressions commonly found in the literature for specific heat capacity and thermal expansion coefficient, we used two relations that are in agreement with the laws of thermodynamics. The influence of nanoparticles on conductive and convective heat transfer is studied. It is shown that adding nanoparticles in a fluid delays the onset of convection. Contrary to what is argued by many authors, we prove by direct numerical simulations that the use of nanofluids can reduce heat transfer instead of increasing it.

Reçu le : 2010-01-28
Accepté le : 2010-07-07
Publié le : 2010-06-01

DOI : 10.1016/j.crme.2010.07.008

Keywords: Heat transfer, Convection, Nanofluid, Rayleigh–Bénard
Mots-clés : Transferts thermiques, Convection, Nanofluide, Rayleigh–Bénard

Affiliations des auteurs :

Bilal Elhajjar ^{1, 2} ; Glades Bachir ^{1, 2, 3} ; Abdelkader Mojtabi ^{1, 2} ; Chakib Fakih ³ ; Marie Catherine Charrier-Mojtabi ⁴

¹ Université de Toulouse, INPT, UPS, IMFT (institut de mécanique des fluides de Toulouse), allée Camille-Soula, 31400 Toulouse, France
² CNRS, IMFT, 31400 Toulouse, France
³ Faculty of Engineering, Lebanese University, Beirut, Lebanon
⁴ Université de Toulouse, UPS, laboratoire phase, 118, route de Narbonne, 31400 Toulouse, France

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     author = {Bilal Elhajjar and Glades Bachir and Abdelkader Mojtabi and Chakib Fakih and Marie Catherine Charrier-Mojtabi},
     title = {Modeling of {Rayleigh{\textendash}B\'enard} natural convection heat transfer in nanofluids},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {350--354},
     publisher = {Elsevier},
     volume = {338},
     number = {6},
     year = {2010},
     doi = {10.1016/j.crme.2010.07.008},
     language = {en},
}

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Bilal Elhajjar; Glades Bachir; Abdelkader Mojtabi; Chakib Fakih; Marie Catherine Charrier-Mojtabi. Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids. Comptes Rendus. Mécanique, Volume 338 (2010) no. 6, pp. 350-354. doi : 10.1016/j.crme.2010.07.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.008/

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