Effects of Hall Current on Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Abstract

Effects of Hall current on unsteady MHD natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature in a porous medium, in the presence of thermal diffusion, is studied. The exact solution of momentum and energy equations, under Boussinesq approximation, is obtained in closed form by Laplace transform technique for both ramped temperature and isothermal plates. Solution is also obtained in the case of unit Prandtl number for ramped temperature plate. The expressions for skin friction due to primary and secondary flows and Nusselt number for both ramped temperature and isothermal plates are also derived. Mathematical formulation of the problem, in non-dimensional form, contains six pertinent flow parameters viz.

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

“…Seth and Ansari [36] investigated unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature embedded in a fluid saturated porous medium taking into account the effect of thermal diffusion. Subsequently, Seth et al [37] considered the effects of Hall current on the problem studied by Seth and Ansari [36]. Patra et al [38] considered the effects of radiation on natural convection flow of a viscous and incompressible fluid near a stationary vertical flat plate with ramped temperature.…”

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

“…Since Hall current tends to induce a secondary flow in the flow-field (Sutton and Sherman, 1965), it plays a crucial role in defining the flow-field characteristics. Due to the huge importance of such physical effect, Pop and Watanabe (1994), Aboeldahab and Elbarbary (2001), Seth et al (2013 and Das et al (2013) investigated the influence of Hall current on hydromagnetic natural convection flow near a vertical plate, considering various aspects of the problem. Reddy (2014) considered Hall effect, thermal radiation and viscous dissipation on MHD convective flow of a viscous, electrically conducting and incompressible fluid past a stretched vertical sheet.…”

Steady MHD Flow of Nano-Fluids over a Rotating Porous Disk in the Presence of Heat Generation/Absorption: a Numerical Study using PSO

“…studied the Hall and ion-slip effect on boundary layer flow of a micro polar fluid past a wedge in presence of magnetic field and concluded that in a micro polar fluid, the Hall effect and increased magnetic field enhances the heat transfer rate significantly. Seth et al (2015aSeth et al ( ), (2015b and (2015c) also studied the Hall current effects on hydromagnetic convection flow under different heat generation/absorption conditions. Magneto hydrodynamic stagnation point flow and heat transfer on stretching sheet with chemical reaction and transpiration is studied by Mabood et al (2015).…”