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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i8.10
pages 657-667

ON THE ONSET OF DOUBLE-DIFFUSIVE CONVECTION IN A LAYER OF NANOFLUID UNDER ROTATION SATURATING A POROUS MEDIUM

Gian C. Rana
Department of Mathematics, NSCBM Government College, Hamirpur-177005, Himachal Pradesh, India
R. C. Thakur
Department of Mathematics, Govt. College, Dhaliara-177103, District Kangra Himachal Pradesh, India
S. K. Kango
Department of Mathematics, Govt. College, Haripur-177 103, District Kullu Himachal Pradesh, India

ABSTRAKT

In this study, the double-diffusive convection in a horizontal layer of nanofluid under rotation in a porous medium is presented. For the porous medium, the Darcy model is employed. The base fluid of the nanofluid is itself a binary fluid like salty water. The nanofluid describes the effects of thermophoresis and Brownian diffusion. From the linear stability analysis based upon normal modes analysis method, the dispersion relation accounting for the effect of various parameters is derived. For the case of stationary convection, it is observed that rotation and solute gradient have a stabilizing effect on the system. Rotation plays an important role in the thermal instability of fluid layer and has applications in rotating machineries such as nuclear reactors, petroleum industry, biomechanics, etc. The influences of thermo-nanofluid Lewis number, thermosolutal Lewis number, and Soret and Dufour parameter on the stability of stationary convection are presented graphically and discussed. A very good agreement is found between the present paper and earlier published results.


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