Impacts of the periodic wall conditions on the hydromagnetic convective flow of viscoelastic fluid through a vertical channel with Hall current and induced magnetic field

Abstract

In this study, a mathematical analysis is presented for the hydromagnetic convective flow of an incompressible, chemically reacting, and electrically and thermally conducting viscoelastic fluid through a vertical channel bounded by the porous regime under the action of an applied magnetic field with Hall current and induced magnetic field effects. The left wall of the channel is considered to be nonmagnetic, whereas the right wall of the channel is periodically magnetized. The flow within the channel is induced due to the nonuniform wall temperature and concentration, periodic pressure gradient, and periodic movement of the right wall. The method of separation of variable is used to convert the flow governing coupled partial differential equations into the ordinary differential equations that are solved analytically, and the solution for fluid velocity, induced magnetic field, temperature, and concentration is presented in a closed form. Numerical computation has been performed to demonstrate the impact of various system parameters on the fluid flow behavior. It is observed that oscillations increase the primary flow and primary induced magnetic field. Buoyancy forces have a tendency to lessen the secondary induced magnetic field. Furthermore, it is examined that magnetic diffusivity increases the primary flow, whereas it decreases the secondary flow and primary induced magnetic field.

Hall and ion slip effects on magnetohydrodynamic convective rotating flow of Jeffreys fluid over an impulsively moving vertical plate embedded in a saturated porous medium with Ramped wall temperature

“…The transformed solutions of Equations (39), (40) and (41) with the boundary conditions (42) and (43) specified by,…”

“…Hashemi-Tilehnoee et al [40] studied entropy generation analysis in the concentric annuli of a gas insulation transmission line enclosure loaded with air and SF 6 -N 2 mixture gas. Singh et al [41] presented for the MHD convective flow of visco-elastic fluid through a vertical channel bounded by the porous regime with Hall current and induced magnetic field effects. The MHD free convective flow of visco-elastic fluid through a porous regime in an inclined channel taking the Hall and ion-slip effects has been investigated by Singh and Vishwanath [42].…”

Significance of Hall effect on heat and mass transport of titanium alloy‐water‐based nanofluid flow past a vertical surface with IMF effect

“…Furthermore, the rotatory fluid motion can set up natural convection due to the density variation caused by the Coriolis force. The rotatory action on MHD liquid motion is presented in the investigations of many researchers and their teams, namely Rama Mohan Reddy et al, 12 Singh et al, 13‐16 Makinde et al, 17 Chamkha et al, 18 Akinshilo, 19 Nandi and Kumbhakar, 20 Veera Krishna, 21 and Shoaib et al 22 In MHD flows, an induced magnetic field (IMF) arises for those fluids whose magnetic viscosity is very small, that is, the magnetic Reynolds number is very large. Thus, the study of the IMF effect becomes important for the working fluids whose magnetic viscosity is very small.…”

Heat and mass transfer in MHD boundary layer flow of a second‐grade fluid past an infinite vertical permeable surface

“…Singh et al 48 investigated the steady MHD mixed convection flow of a visco‐elastic fluid over a magnetized vertical surface embedded in a uniform porous material with rotation, Hall, and induced magnetic field effects. The MHD convective flow of an incompressible, chemically reacting, electrically and thermally conducting visco‐elastic fluid through a vertical channel bounded by the porous regime under the action of an applied magnetic field with Hall current and induced magnetic field effects has been discussed by Singh et al 49 Singh et al 50 discussed MHD boundary layer flow of Walters'‐B fluid over a vertical porous surface implanted in porous material under the action of a strong external applied magnetic field and rotation. Singh et al 51 explored the unsteady MHD boundary layer flow of a rotating visco‐elastic fluid over an infinite vertical porous plate embedded in a uniform porous medium with an oscillating free‐stream taking Hall and ion‐slip currents into account.…”