Double Diffusion Non-Isothermal Thermo-Convective Flow of Couple Stress Micropolar Nanofluid Flow in a Hall MHD Generator System

Abstract

Nanofluids are potential liquids that enhance the thermophysical characteristics and the ability to transport heat rather than base liquids. This article discusses the non-isothermal heat transfer of the convective steady flow of magnetohydrodynamic micropolar nanofluid over a non-linear extended wall, considering the effects of Brownian motion and thermophoresis, coupled stress, hall current and viscous dissipation effects. Fluid flow is controlled by a high magnetic field. The system of equations is resolved using the Homotopy Analysis Method (HAM) technique and the results are visualized graphically. The effects of different fluid parameters summarizing the problem behavior on primary, secondary and angular velocity, temperature, volume fraction and nanoparticle concentration profiles are measured using graphs. The primary velocity component decreased throughout the entire flow study with magnetic, couple stress and Hall parameters. The large magnetic field parameter and the smaller couple stress parameter lower the secondary velocity, while the increase of the local Grashof number increases the secondary velocity. The strong magnetic parameter, the local Grashof number and the couple stress parameter reduce the angular velocity as observed. The large magnetic parameter, Grashof number, Hall parameter and radiation parameter reduces temperature, while the temperature increases with the increase in Brinkman number and Prandtl number. Brownian motion and thermophoresis encourage the transfer of heat. Tables are used to highlight the impact of dimensionless parameters on the skin friction coefficient, Nusselt and Sherwood numbers. INDEX TERMS Convective heat transfer, couple stress, hall current, HAM, hall MHD flow, micropolar nanofluid. NOMENCLATURE Re Local Reynolds number T Fluid temperature (K) u, v, w Velocity components of the dust particles ms −1 The associate editor coordinating the review of this manuscript and approving it for publication was Giovanni Angiulli. x, y, z Coordinate axis φ w Wall volume fraction of nanofluid φ ∞ Volume fraction at infinity T ∞ Temperature at infinity T w Wall temperature C w Wall concentration C ∞ Concentration at infinity

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