The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface

Khuram Rafique,Masnita Misiran,Ilyas Khan,Muhammad Imran Anwar,El-Sayed M Sherif

doi:10.3390/app10010280

Abstract

The main purpose of the present analysis is to report the numerical solution of the thermal radiations and magnetohydrodynamic (MHD) effect on the flow of micropolar nanofluid. Further, the effect of Brownian motion and thermophoresis on the flow field are also elucidated. The combined phenomenon of heat and mass transfer is considered. Compatible similarities are implemented for the conversion of nonlinear ordinary differential equations from nonlinear partial differential equations. The numerical solution of the governing differential equations is obtained via the implicit Keller box technique. This is an efficient scheme based on the finite difference method. Findings demonstrate that the heat and mass exchange reduce with growth of the Brinkman parameter, whereas the wall shear stress enhances with improving the magnitude of the Brinkman factor. The temperature contour enhances when the radiation parameter reaches its peak, which is useful for industrial processes. The heat and mass flow rates decrease against higher magnitudes of inclination.

Highlights

Numerous investigators have elucidated the MHD impacts in several energy-related flows made by stretching sheet
The motion of fluid modifies when conducting fluid moves under the impact of the magnetic field, and the magnetic nanoparticles interact with Lorentz forces
REVIEW Le, radiation effect N, Brinkman parameter β1, suction or5 injection of 19 parameter S, and material factor K, which are presented in different tables and figures

Summary

Introduction

Numerous investigators have elucidated the MHD impacts in several energy-related flows made by stretching sheet. Stretching sheets have received much consideration due to their significant applications in engineering and practical fields such as MHD power producers, hyperthermia cancer cure, brain tumor treatment, and solar energy devices. The physical effects in MHD offer influential situations in heat flow problems. Lenz’s law indicates that the electric current is induced on a moving conductor under the magnetic field impact that comprises its own magnetic field. The motion of fluid modifies when conducting fluid moves under the impact of the magnetic field, and the magnetic nanoparticles interact with Lorentz forces. MHD fluids control system performance by means of electrically conducting fluids. One can see investigators’ efforts on MHD effects in references [1,2,3,4,5,6,7]

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