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Hall Current Induced MHD Convection of a Nanofluid Subjected to the Heat and Salt Diffusion

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Abstract

Convection of an electrical conducting MHD nanofluid confined between horizontal infinite boundaries subjected to double diffusion and Hall current is studied analytically. The energy equation contains the terms representing regular heat diffusion, Brownian diffusion and thermophoresis of nanoparticles and the salt diffusion equation contains the regular salt diffusion term. The boundaries are sustained at constant heat and salt but to overcome the inaccuracy produced due to the unrealistic constant flux of nanoparticles, it is taken as zero on the boundaries. The analysis is directed through the normal mode technique led by Galerkin weighted residual method. It is found that the Rayleigh number is reduced due to the presence of nanoparticles while it increases due to the solutal diffusivity. Thus, nanoparticles are responsible for earlier convection and the presence of salt delays it. The Hall currents that usually destabilize the systems are having dual character. It is also shown that for aluminum water nanofluid the oscillatory convection does not exist. The effects of flow parameters have been picturized through individual and comparative graphs.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Department of Mathematics, Chaudhary Charan Singh University, Meerut, India

    J. Bishnoi & S. Kumar

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  1. J. Bishnoi
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  2. S. Kumar
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Correspondence to J. Bishnoi or S. Kumar.

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Bishnoi, J., Kumar, S. Hall Current Induced MHD Convection of a Nanofluid Subjected to the Heat and Salt Diffusion. Fluid Dyn 58, 1169–1182 (2023). https://doi.org/10.1134/S0015462823600530

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  • DOI: https://doi.org/10.1134/S0015462823600530

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