Abstract

The purpose of this article is mainly to explore the effect of Hall currents and slip conditions on the unsteady magneto-hydrodynamic flow and heat transfer of electrically conducting copper-engine oil (non-Newtonian Casson nanoliquid) over a rotating porous disk with hydrodynamic slip and convective heating in a porous space of Darcy resistance. The Casson model is used to describe the rheology of the non-Newtonian fluid in this study. Non-Newtonian Casson nano-liquid is engineered by dispersing copper (Cu) nanoparticles in engine oil (EO). The disk is subjected to convective boundary conditions and the effect of viscous and Joule dissipations are taken into account in this analysis. The present physical model is analyzed under the influence of strong Lorentz force to investigate the effect of the Hall current on the flow behavior. An exact solution is established for the governing momentum equation by employing the Laplace transform method. The MATLAB built-in function pedpe is used to numerically solve the nonlinear energy equation. The impact of significant parameters on the flow fields is analyzed by plotting graphs and tables and discussed in detail. The computations demonstrate that the Hall current generates substantial enhancement in the velocity component profiles and significantly elevates the temperature in the flow domain. The disk temperature is substantially reduced in the presence of suction. A comparative study of EO Casson and Cu-EO Casson nanoliquids is presented and interpreted. The inferences obtained from our investigation may effectively be used in disk cleaners, rotor-systemic manufacturing of magnetic nano-polymer coatings, fuel cell coatings, print ink, self-cleaning ceramics, cosmetics, etc.

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