Impact of a magnetic field on the onset of Jeffrey nanofluid

Pushap Lata Sharma; Tammana Thakur; Sumit Gupta; Gian C. Rana

doi:10.14513/actatechjaur.00873

Authors

Pushap Lata Sharma Department of Mathematics and Statistics, Himachal Pradesh University Shimla-171005, India
Tammana Thakur Department of Mathematics and Statistics, Himachal Pradesh University Shimla-171005, India
Sumit Gupta Rajeev Gandhi Government College Chaura Maidan, Shimla-171005, India
Gian C. Rana Government Degree College, Dhaneta, Hamirpur, Himachal Pradesh, 177041, India

DOI:

https://doi.org/10.14513/actatechjaur.00873

Keywords:

convection, nanofluid, magnetic field, Jeffrey model

Abstract

In this paper, we address the problem of magneto-convection in a Jeffery nanofluid layer confined between infinite horizontal free-free boundaries, heated from below. The Navier-Stokes equations are modified to combine the Jeffrey parameter, nanoparticles and magnetic field term. A linear stability analysis is carried out using the perturbation technique, normal mode analysis and the Galerkin-type weighted residual method, leading to the derivation of a dispersion relation for the Rayleigh number. Numerical and graphical results explained the effects of key parameters on thermal convection of non-Newtonian nanofluid, including parameters—the modified diffusivity ratio, Lewis number, nanoparticles Rayleigh number, Jeffrey parameter and Chandrasekhar number, on the onset of stationary convection. The study reveals that the magnetic field is having a stabilizing effect, thereby delaying the onset of stationary convection in the nanofluid layer.

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