Analytical investigation of polar fluid flow with induced magnetic field in concentric annular region

Abstract

The influence of microrotational velocity on a fully developed laminar, natural convection flow in vertical concentric annuli in the presence of radial magnetic field between two nonconducting vertical concentric annuli is investigated in the present study. The induced magnetic field is generated due to the motion of an electrically conducting fluid in the annulus; the polar fluid has been considered in the present analysis. Transport equations such as momentum, energy, polar fluid, and induced magnetic field are solved analytically for the isothermal case. The effects of the different pertinent parameters of the present model are obtained and analyzed after verification of present methodology. The effects of the Hartmann number, the gap between two cylinders, and vertex viscosity parameters on velocity profiles, induced magnetic field, induced current density, and microrotational velocity profiles are studied. It is observed that the velocity profile and induced magnetic field decrease due to the vertex viscosity parameter; the Hartmann number accelerates the velocity of the microrotation; the induced current density profile decreases for both the Hartmann number and vertex viscosity parameter. The Hartmann number reduces the magnitude of mass flux and skin frictions at the inner and outer cylinder.

Variable Thermo-Physical and Electrical Field Influence on Nonlinear Convective Flow of non-Newtonian Fluid through an Inclined Annular Micro-Channel with Porosity

“…Nagaraju et al (2019a and presented the behavior, entropy generation, and heat transfer in different base fluids through a circular pipe. The free convection motion with the impact of micro rotational velocity was investigated by Panigrahi et al (2020). Also, Jha and Aina (2018a) highlighted the impact of the MHD convection flow micro-channel study.…”

Nonlinear convection flow of dissipative Casson nanofluid through an inclined annular microchannel with a porous medium

“…Concerning this, several attempts have been made to seek better performance in mechanical industries. Thus, Sankar and Makinde 2 modeled the buoyant convection in porous media, Lawal and Jibril 3 analyzed the time‐dependent MHD convective flow of ramped motion in an annulus medium, and Panigrahi et al 4 investigated the fully developed flow of a polar fluid in concentric annuli with a radial magnetic field influence. Anurag et al 5 presented the cooling/heating effect on an annular permeable region, where Newtonian heating is seen to enhance both momentum and energy field, accordingly.…”

Investigating the magnetohydrodynamic flow of a couple stress dusty fluid along a stretching sheet in the presence of viscous dissipation and suction

“…[26][27][28][29][30][31][32] in CS fluids with diverse geometry. Panigrahi et al 33 have recently been studying the effect of the induced magnetic field and microrotation of a 1D polar fluid through the concentric annulus.…”