Effect of Hall Current on MHD Natural Convection Heat and Mass Transfer Flow of Rotating Fluid Past a Vertical Plate With Ramped Wall Temperature

Abstract

A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped temperature, embedded in a porous medium is carried out, considering the effects of Hall current and rotation. Governing equations are non-dimensionalized and Laplace Transform Technique is used to find the exact solutions for non-dimensional velocity, temperature and concentration fields. The quantities of physical interest i.e. shear stress at the plate, rate of heat and mass transfers at the plate are also derived. Numerical results for the velocity, temperature and species concentration of the fluid are demonstrated with the help of graphs whereas those of shear stress at the plate, rate of heat and mass transfers at the plate are displayed in tables for various flow parameters. It is observed that fluid velocities as well as fluid temperature profiles are slower in case of ramped temperature plate than those of isothermal plate.

Hall and ion‐slip effects on MHD free convection flow of rotating Jeffrey fluid over an infinite vertical porous surface

“…The investigation of simultaneous Soret and Dufour effects on a two‐dimensional MHD free convective flow of an electrically conducting, viscous, and incompressible viscoelastic fluid over a nonlinearly stretching surface with Navier's partial velocity slip boundary condition has been carried out by Seth et al 47 Seth et al 48 discussed the numerical simulation of the Newtonian heating effect on an unsteady MHD flow of Casson fluid past a flat vertical plate, considering the impact of viscous dissipation, Joule heating, thermal diffusion, and n th order chemical reaction. The unsteady MHD natural convection flow of an optically thin, heat‐radiating, incompressible, viscous, chemically reactive, temperature‐dependent, heat‐absorbing, and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped plate temperature, embedded in a porous medium, considering the effects of Hall current and rotation, has been explored by Seth et al 49 Seth et al 50 explained the influence of magnetic field and volume fraction of carbon nanotubes on the flow over a stretching sheet in a rotating frame.…”

Hall and Ion Slip Effects on Ag - Water Based MHD Nanofluid Flow Over a Semi-Infinite Vertical Plate Embedded in a Porous Medium

“…Stanford Shateyi (2017) has been stated that heat and mass transfer for natural convection MHD flow over a permeable moving vertical plate with convective boundary condition in the presence of viscous dissipation. Seth et al, (2017) examined that effect of hall current on MHD natural convection heat and mass transfer flow of rotating fluid past a vertical plate with ramped wall temperature. Arifuzzaman et al (2017) analyzed that MHD maxwell fluid flow in presence of nano-particle through a vertical porous-plate with heat-generation, radiation absorption and chemical reaction.…”

Hall current impacts on unsteady MHD free convective flow past an infinite vertical porous surface

“…The effects of radiation and Hall currents on an unsteady MHD free convective flow in a perpendicular duct packed with an absorbent medium have been explored by Krishna et al 19 The heat production or assimilation and thermodiffusion in an unsteady free convective MHD flow of a radiative and chemical reactive second‐grade fluid over an infinite perpendicular surface in a porous medium, considering the Hall current, have been researched by Krishna and Chamkha 20 . The unsteady MHD natural convection flow of an optically thin, heat‐radiating, incompressible, viscous, chemically reactive, temperature‐dependent, heat‐absorbing, and electrically conducting fluid past an exponentially accelerated infinite vertical plate, with ramped temperature, embedded in a porous medium has been analyzed by Seth et al 21 Bhattacharya et al 22 discussed the nature of a two‐dimensional MHD flow of an electroconductive and thermally radiating viscoelastic fluid past a nonlinear stretching surface, considering viscous and Joule dissipation using the optimal homotopy analysis method. Seth et al 23 investigated the unsteady MHD flow with the Hall effect of a viscous, incompressible, and electrically conducting fluid past a porous flat plate with an accelerated moving free stream in a rotating system.…”