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Cattaneo–Christov Nanofluid Flow and Heat Transfer with Variable Properties Over a Vertical Cone in a Porous Medium

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Abstract

In this paper, we present an analysis of convective boundary layer flow and heat transfer in a Cattaneo–Christov Casson nanofluid around a vertical cone placed in a porous medium. The nanofluid transport properties such as the viscosity, thermal conductivity, and Brownian diffusion are dependent on concentration and are considered to have a linear dependence on the local nanoparticle volume fraction. The mass flux at the boundary is assumed to be zero. The coupled conservation equations are solved numerically using the spectral quasi-linearization method. Analysis showed, among other findings, that thermal and concentration relaxation parameters decrease with the temperature and concentration profiles respectively, while the Brownian motion and thermophoresis parameters reduce the rate of heat transfer across the surface.

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Authors and Affiliations

  1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg, 3209, South Africa

    I. S. Oyelakin, S. Mondal & P. Sibanda

  2. DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa

    I. S. Oyelakin

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  1. I. S. Oyelakin
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  2. S. Mondal
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  3. P. Sibanda
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Correspondence to S. Mondal.

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Oyelakin, I.S., Mondal, S. & Sibanda, P. Cattaneo–Christov Nanofluid Flow and Heat Transfer with Variable Properties Over a Vertical Cone in a Porous Medium. Int. J. Appl. Comput. Math 3 (Suppl 1), 1019–1034 (2017). https://doi.org/10.1007/s40819-017-0396-3

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  • DOI: https://doi.org/10.1007/s40819-017-0396-3

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