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.
Highlights
A magnetohydrodynamic generator (MHD) is a system that directly generates power by interacting with a rapidly flowing fluid stream, usually ionized gases/plasma
The present study studied the three-dimensional MHD micropolar nanofluid flow in the presence of magnetic field, over a non-linear extended wall, considering the effects of Brownian motion and thermophoresis, couple stress, hall current and viscous dissipation effects
Secondary velocity increases with higher local Grashof number and Hall parameter, while it is decreases with higher couple stress parameter, magnetic parameter and Grashof solutal number
Summary
A magnetohydrodynamic generator (MHD) is a system that directly generates power by interacting with a rapidly flowing fluid stream, usually ionized gases/plasma. Dogonchi et al [24] studied the thermal transfer and the flow of magnetohydrodynamic (MHD) nanofluid between two flat plates when thermal radiation is present They have shown that the temperature and the Nusselt number are directly related to the fraction of the solid volume, which is inversely related to the radiation parameter. In the above- literature, studies of the effect of Brownian motion and thermophoresis on MHD micropolar nanofluid flow with a combination of couple stress, hall current and viscous dissipation effects have not been included in the literature. The present study studied the three-dimensional MHD micropolar nanofluid flow in the presence of magnetic field, over a non-linear extended wall, considering the effects of Brownian motion and thermophoresis, couple stress, hall current and viscous dissipation effects. PROBLEMM STATEMENT Consider the steady three-dimensional non-isothermal thermo-convective flow of couple stress MHD incompressible and electrically conductive micropolar nanofluid and heat transfer in the near-wall MHD Hall generator system.
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