Hydromagnetic Flow of Micropolar Nanofluid

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.

Numerical Simulation of Williamson Nanofluid Flow over an Inclined Surface: Keller Box Analysis

“…Figure 2 exhibits that dimensionless velocity is moderated by resistive force, which is produced by the magnetic effect. It is verified that the numerical computations of f (η) for Gr and Gc, which are displayed in Figures 3 and 4, show a good approval with the reported earlier study by Rafique et al [38]. It is true because the buoyancy effect increases the speed of fluid flow.…”

Heat and mass transfer of micropolar liquid flow due to porous stretching/shrinking surface with ternary nanoparticles

“…The investigation on MHD micropolar nanofluid flow enclosed by two surfaces with radiation and hall current was carried out by Saeed et al 21 . Rafique et al 22 discussed micropolar nanofluid hydromagnetic flow. Patnaik et al 23 used ADM-Pade computation technique to analyse the mixed convection flow of MHD micropolar nanofluid flow with chemical reaction past a porous stretching surface.…”

Effect of magnetic field on the mixed convection in double lid‐driven porous cavities filled with micropolar nanofluids

“…Several comprehensive literature reviews about the nanofluid are available such as Hussein [3,4], Hussein et al [5,6], and recently by Kamel et al [7]. From another side, the micropolar fluids can be defined as a subclass of microfluids which consist of a spherical or rigid randomly oriented particles dispersed in viscous mediums [8,9]. The concept of the micropolar fluid was proposed for the first time by Eringen [10] in order to study the micro-motions of particles that cannot be treated by the conventional non-Newtonian fluid theories.…”