Abstract

Similar to other fluids (Newtonian and non-Newtonian), micropolar fluid also exhibits symmetric flow and exact symmetric solution similar to the Navier–Stokes equation; however, it is not always realizable. In this article, the Buongiorno mathematical model of hydromagnetic micropolar nanofluid is considered. A joint phenomenon of heat and mass transfer is studied in this work. This model indeed incorporates two important effects, namely, the Brownian motion and the thermophoretic. In addition, the effects of magnetohydrodynamic (MHD) and chemical reaction are considered. The fluid is taken over a slanted, stretching surface making an inclination with the vertical one. Suitable similarity transformations are applied to develop a nonlinear transformed model in terms of ODEs (ordinary differential equations). For the numerical simulations, an efficient, stable, and reliable scheme of Keller-box is applied to the transformed model. More exactly, the governing system of equations is written in the first order system and then arranged in the forms of a matrix system using the block-tridiagonal factorization. These numerical simulations are then arranged in graphs for various parameters of interest. The physical quantities including skin friction, Nusselt number, and Sherwood number along with different effects involved in the governing equations are also justified through graphs. The consequences reveal that concentration profile increases by increasing chemical reaction parameters. In addition, the Nusselt number and Sherwood number decreases by decreasing the inclination.

Highlights

  • In the last couple of decades, fast advances in nanotechnology have prompted the development of new age coolants called nanofluids

  • Grx denotes the local Grashof number, Gcx signifies the modified local Grashof number, the chemical reaction parameter is denoted by R, λ1 heat generation or absorption factor, and K is the dimensionless vertex viscosity

  • The investigation of micropolar-type nanofluid flow over a permeable inclined surface with the impact of inclination factor has been studied in this article

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Summary

Introduction

In the last couple of decades, fast advances in nanotechnology have prompted the development of new age coolants called nanofluids. The energy and mass transport with chemical reactions over an inclined stretching plate has garnered considerable interest because of its many applications in engineering In processes such as drying, evaporation of surface water, the flow in a desert cooler, and heat transport in a wet cooling tower, energy and mass transport occur. Rahman et al [20] studied the heat exchange procedure in micropolar fluid flow by incorporating different fluid properties over a permeable inclined plate. A lot of work on non-Newtonian nanofluids’ flow by considering different geometries has been done, but no one scholar to date has considered the inclined surface geometry combined with micropolar nanofluid by incorporating the considered effects, i.e., chemical reaction and suction or injection, with the Keller-box technique. The inclined stretching geometry with MHD impacts have important applications in automobiles, MHD generators, extrusion of sheets, etc

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