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Journal of Porous Media
Impact-faktor: 1.49 5-jähriger Impact-Faktor: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i4.40
pages 349-362

FULLY DEVELOPED MIXED CONVECTION IN A NON-DARCY POROUS MEDIUM SATURATED BY A NANOFLUID

Radu Trimbitas
Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
Teodor Grosan
Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

ABSTRAKT

This article presents an analytical study of the mixed convection heat transfer in a long channel filled with a porous medium with internal heat generation saturated by a nanofluid. We consider the flow laminar; the vertical walls are kept at a constant temperature while the nanoparticles flux is zero on the vertical walls. The formulation of the problem is based on the Brinkman-Boussinesq approximation using a two-phase nanofluid model. Assuming that the motion is fully developed, a closed-form solution is obtained using symbolic mathematical software. The influence of some effective parameters, such as Reynolds number Re, Lewis number Le, the buoyancy ratio number Nr, the thermophoresis to Brownian motion ratio number NA, Darcy number Da, and Grashof number Gr, on the velocity, temperature, and nanoparticles' concentration profiles is studied. Results for alumina nanoparticles are presented in the form of velocity, temperature, and concentration profiles and values of the average Nusselt number. The maximum values of the dimensionless temperature are predicted for Al2O3 (alumina) and TiO2 (titania) nanoparticles. A theoretical maximum temperature is obtained for generic nanoparticles possessing very high thermal conductivity.


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