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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017018642
pages 49-62

CONVECTING THRESHOLD IN NANOFLUID DRIVEN BY CENTRIFUGAL FORCES IN A ROTATING ANNULAR HELE-SHAW

K. Souhar
Laboratory of Energy Engineering, Materials and Systems, ENSA, Ibn Zohr University, Morocco
M. Kriraa
Department of Civil Engineering and Energetics, ENSA Al-Hoceima, Mohammed I University, Oujda, Morocco
L. Bammou
Laboratory of Thermodynamics and Energy, Faculty of Sciences, Ibn Zohr University, Morocco
S. Alami
Laboratory of Thermodynamics and Energy, Faculty of Sciences, Ibn Zohr University, Morocco
J. Bouchgl
Laboratory of Energy Engineering, Materials and Systems, ENSA, Ibn Zohr University, Morocco
M'barek Feddaoui
Laboratory of Energy Engineering, Materials and Systems, ENSA, Ibn Zohr University, Morocco
S. Aniss
Laboratory of Mechanics, Faculty of Sciences Ain Chock, Hassan II University, Morocco

ABSTRACT

The onset of convection in nanofluid confined within a rotating Hele-Shaw cell is studied by using a linear stability analysis. The model for our nanofluid combines the effects of Brownian motion and thermophoresis where the gravitation is negligible and the convection is driven by centrifugal forces. The linear stability equations are solved numerically to find the critical values of the Rayleigh and wave numbers. The analysis reveals that the curvature parameter and the Eckman number delay the onset of convection, while the nanoparticle concentration Rayleigh number, Lewis number and modified diffusivity ratio hasten the onset of convection.