Influence of Hall current and wall conductivity on hydromagnetic mixed convective flow in a rotating Darcian channel

Abstract

In the present study, an analysis for steady hydromagnetic mixed convective generalised Couette flow between two infinite parallel plates of arbitrary electrical conductivities and finite thicknesses filled with a porous medium in the presence of a uniform transverse magnetic field in a rotating system with the Hall effect is presented. The heat transfer characteristics of the fluid flows are also investigated, taking viscous and Joule dissipations into account. Exact solutions of the resulting simultaneous ordinary differential equations governing the fluid flows are obtained in a closed form. The closed form analytical solutions for shear stress and mass flow rate are also obtained. To examine the physical consequences and flow characteristics, the numerical results for velocity, induced magnetic field, temperature field, shear stress, mass flow rate, and rate of heat transfer are computed for different values of various system parameters and are displayed in graphical and tabular forms. An interesting observation recorded that there arises flow reversal in the secondary flow direction when the permeability parameter is very small, i.e., when Darcian drag force is very large.

Steady MHD mixed convection flow of a viscoelastic fluid over a magnetized convectively heated vertical surface with Hall current and induced magnetic field effects

“…Thereafter, Nandkeolyar et al 38 investigated the steady mixed convective boundary layer flow over a vertical plate with an induced magnetic field under the action of an aligned magnetic field. Recently, Singh et al 39 extended the problem studied by Seth and Singh 36 and studied the effects of Darcian drag force on MHD mixed convection flow in a horizontal channel with arbitrarily conducting walls. In their investigation, they found that reverse flow is observed in the secondary flow direction when Darcian drag force is very large.…”

Hall and induced magnetic field effects on convective flow of viscoelastic fluid within an inclined channel with periodic surface conditions

“…In similar situations, the Hall current must be included in the generalized ohm's law. The magnetic induction equation with Hall effect is expressed as (Seth and Singh [5], Singh et al [8,10]…”

“…The study of mixed convection becomes important when both the free and force convection occur simultaneously and both the convective forces are comparable in magnitude. Motivated from these facts, recently, Mishra and Singh [1], Rashidi et al [2], Sajid et al [3], Nejad et al [4], Seth and Singh [5], Reddy et al [6], Ahmad et al [7], Singh et al [8][9][10] and Opanuga et al [11] presented the MHD mixed convection flow problems. A comprehensive literature survey on MHD mixed convective buoyancy driven flows reports Science and Technology (2020), Volume 7,Issue 4,Paper No.…”

“…Interplay of conducting and nonconducting walls on MHD natural convection flow in a vertical micro-channel with induced magnetic field is presented by Jha and Aina [16]. Some more significant investigation on the topic are due to the researchers Seth and Singh [5], Singh et al [8,10], Kumar et al [17], Kumar et al [18], Das et al [19], Hayat et al [20] and Raza et al [21]. In the hydromagnetic flows, if the intensity of the applied magnetic field is very high or fluid is highly ionized, Hall current induces due to drifting and collision of ions about magnetic field lines.…”

“…Motivated from these facts, recently, Singh et al [22], Dharmaiah et al [23] and Nanda and Kumbhakar [24] examined the Hall effect on buoyancy driven MHD boundary layer flows. The simultaneous influence of Hall current and induced magnetic field is examined by Seth a nd Singh [5] and Singh et al [8,10]. The investigation of viscoelastic fluid flow in the presence of magnetic field is a remarkably interesting subject due to its tremendous applications in biochemical and petrochemical industries.…”