Comptes Rendus
no. 6
Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids
[Modélisation des transferts de chaleur en configuration de Rayleigh–Bénard dans les nanofluides]
Bilal Elhajjar1, 2  ; Glades Bachir1, 2, 3  ; Abdelkader Mojtabi1, 2  ; Chakib Fakih3  ; Marie Catherine Charrier-Mojtabi4
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.

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 :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.07.008
Keywords: Heat transfer, Convection, Nanofluid, Rayleigh–Bénard
Mot clés : Transferts thermiques, Convection, Nanofluide, Rayleigh–Bénard
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 
@article{CRMECA_2010__338_6_350_0,
     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},
}
TY  - JOUR
AU  - Bilal Elhajjar
AU  - Glades Bachir
AU  - Abdelkader Mojtabi
AU  - Chakib Fakih
AU  - Marie Catherine Charrier-Mojtabi
TI  - Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids
JO  - Comptes Rendus. Mécanique
PY  - 2010
SP  - 350
EP  - 354
VL  - 338
IS  - 6
PB  - Elsevier
DO  - 10.1016/j.crme.2010.07.008
LA  - en
ID  - CRMECA_2010__338_6_350_0
ER  - 
%0 Journal Article
%A Bilal Elhajjar
%A Glades Bachir
%A Abdelkader Mojtabi
%A Chakib Fakih
%A Marie Catherine Charrier-Mojtabi
%T Modeling of Rayleigh–Bénard natural convection heat transfer in nanofluids
%J Comptes Rendus. Mécanique
%D 2010
%P 350-354
%V 338
%N 6
%I Elsevier
%R 10.1016/j.crme.2010.07.008
%G en
%F CRMECA_2010__338_6_350_0
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/

[1] X.Q. Wang; A.S. Mujumdar Heat transfer characteristics of nanofluids: a review, Int. J. Therm. Sci., Volume 46 (2007), pp. 1-19

[2] K. Khanafer; K. Vafai; M. Lightstone Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, Int. J. Heat Mass Transfer, Volume 46 (2003), pp. 3639-3653

[3] E. Abu-Nada; H.F. Oztop Effects of inclination angle on natural convection in enclosures filled with Cu-water nanofluid, Int. J. Heat Fluid Flow, Volume 30 (2009), pp. 669-678

[4] N. Putra; W. Roetzel; S.K. Das Natural convection of nanofluids, Heat Mass Transfer, Volume 39 (2003), pp. 775-784

[5] J. Kim; Y.T. Kang; C.K. Choi Analysis of convective instability and heat transfer characteristics of nanofluids, Phys. Fluids, Volume 16 (2004), pp. 2395-2401

[6] K.S. Hwang; J.H. Lee; S.P. Jang Buoyancy-driven heat transfer of water-based Al2O3 nanofluids in a rectangular cavity, Int. J. Heat Mass Transfer, Volume 50 (2007), pp. 4003-4010

[7] C.J. Ho; M.W. Chen; Z.W. Li Numerical simulation of natural convection of nanofluids in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer, Volume 51 (2008), pp. 4506-4516

[8] R. Bennacer; M. El Ganaoui; T. Mare; C.T. Nguyen Natural convection of nanofluids in a cavity including the Soret effect, Comput. Therm. Sci. Int. J., Volume 1 (2009), pp. 425-440

[9] G. Polidori; S. Fohanno; C.T. Nguyen A note on heat transfer modeling of Newtonian nanofluids in laminar free convection, Int. J. Therm. Sci., Volume 46 (2007), pp. 739-744

[10] R.L. Hamilton; O.K. Crosser Thermal conductivity of heterogeneous two-component systems, I and EC Fundamentals, Volume 1 (1962), pp. 187-191

[11] H.C. Brinkman The viscosity of concentrated suspensions and solution, J. Chem. Phys., Volume 20 (1952), p. 571

[12] B. Elhajjar; M.C. Charrier-Mojtabi; A. Mojtabi Separation of a binary fluid mixture in a porous horizontal cavity, Phys. Rev. E, Volume 77 (2008) (026310-1–6)

[13] G. Donzelli; R. Cerbino; A. Vailati Bistable heat transfer in nanofluid, Phys. Rev. Lett., Volume 102 (2009) (104503-1–4)

[14] M.C. Charrier-Mojtabi; B. Elhajjar; A. Mojtabi Analytical and numerical stability analysis of Soret-driven convection in a horizontal porous layer, Phys. Fluids, Volume 19 (2007) (124104-1–14)

Cité par Sources :

Commentaires - Politique

Ces articles pourraient vous intéresser

Entropy generation in a variable viscosity channel flow of nanofluids with convective cooling

Michael Hamza Mkwizu; Oluwole Daniel Makinde

C. R. Méca (2015)

Determination of thermal diffusion coefficient of nanofluid: Fullerene–toluene

Alain Martin; M. Mounir Bou-Ali

C. R. Méca (2011)

How does surface wettability influence nucleate boiling?

Hai Trieu Phan; Nadia Caney; Philippe Marty; ...

C. R. Méca (2009)