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International Journal of Technology
Year : 2016, Volume : 6, Issue : 2
First page : ( 71) Last page : ( 80)
Print ISSN : 2231-3907. Online ISSN : 2231-3915.
Article DOI : 10.5958/2231-3915.2016.00011.0

Triple-diffusive convection in a layer of viscoelastic nanofluid

Rana G. C.1,*, Chand Ramesh2, Kango S. K.3

1Department of Mathematics, NSCBM Govt. College, Hamirpur-177005, Himachal Pradesh, India

2Department of Mathematics, Govt. College, Nurpur-177 103, District Kangra, Himachal Pradesh, India

3Department of Mathematics, Govt. College, Barsar, District Hamirpur, Himachal Pradesh, India

*Corresponding Author Email: drgcrana15@gmail.com, rameshnahan@yahoo.com, skkango72@gmail.com

Online published on 2 February, 2017.

Abstract

Triple-diffusive convection in a horizontal layer of nanofluid heated from below and salted from above and below is considered. The Rivlin-Ericksen type fluid model is used to describe the rheological behavior of viscoelastic nanofluid. The effects of thermophoresis and Brownian diffusion parameters are also introduced through Buongiorno model in the governing equations. By using linear stability analysis and normal modes analysis method, the dispersion relation accounting for the effect of various parameters is derived. The influences of solute-Rayleigh number, analogous solute-Rayleigh number, thermo-nanofluid Lewis number, modified diffusivity ratio and nanoparticle Rayleigh number on the stability of stationary convection are presented analytically and graphically.

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Keywords

Convection, triple-diffusive, nanofluid, nanoparticles, Rayleigh number.

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