Effect of Induced Magnetic Field on MHD Mixed Convection Flow in Vertical Microchannel

Abstract

The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition

“…As part of a previous study, we solved the governing equations ( 8) and ( 9) at same time with the same boundary condition (10); however, the IFDS approach is used to solve equations ( 5) and ( 6) with relation to the boundary condition (7). Table 1 displays the numerical validation of reference work [29] and present work.…”

“…Because of the field's substantial success in a range of difficulties, these techniques have gained a lot of traction in recent years. Jha and Aina [10] examined the initial mass function of magnetohydrodynamic flow in a microchannel with infinite vertical parallel electrically isolated walls. In a preliminary study, Hamza et al [11] investigated steady-state MHD natural convection slip movement in a vertical geometry and discovered that increasing the contaminant reactivity parameter had no effect on fluid momentum.…”

Analysis of Effect of Inclined Magnetic Field on MHD Boundary Layer Flow over a Porous Exponentially Stretching Sheet Subject to Thermal Radiation

“…The analysis of MHD boundary layer flow and heat transfer towards a porous exponentially stretching sheet in presence of thermal radiation was studied by [2]. The effect of magnetic field on MHD convective flow was investigated by [3] and [4], whereby they looked at mixed convective and steady free convective respectively. The idea of convection was extended by [5] where he incorporated thermal radiation and based his study on nanofluid flow.…”

MHD Effects on Ciliary-Induced Peristaltic Flow Coatings with Rheological Hybrid Nanofluid

“…Besides this, the performance of coatings with magnetic nanoparticles and heat transport is ever-present in various fields. Magnetic nanoparticles, approved by the FDA (Food and Drug Administration) [33], with coating are applicable in medical processes such as blood pressure control of a patient, pharmacotherapy, surgery and alcohol detoxification etc. Ellahi et al [34] carried out a comparative investigation on shiny film coating on multi-fluids dispersed by nanoparticles.…”