Effects of Hall current on MHD natural convection in between two vertical flat walls with induced magnetic field and heat source/sink

Abstract

ABSTRACT The effects of Hall current and heat source/sink are considered on MHD natural convective flow of an electrically conducting viscous fluid in between two vertical flat walls with an induced magnetic field. The exact analytical solutions for converted flow equations from governing equations after using suitable non-dimensional variables are obtained. The effects of Hall current, heat source/sink, and magnetic field on the velocity components, induced magnetic field in flow dynamics, and the induced current density are presented through some figures and tables. The impact of the Hall current is massive on both components of velocity and those increases with Hall current. Whereas, both the components of the induced magnetic field and induced current density decrease due to Hall current. Whereas due to heat source(sink), the primary velocity enhances(reduces) and the effect is opposite for the secondary velocity. For increasing heat source parameter both primary and secondary induced magnetic field and induced current density increase, while temperature-dependent heat sink shows contrary effects. In two flat vertical walls, the variations in the skin-friction components, i.e. surface drag force components for the presence of magnetic field are opposite to each other. In addition, mass flow rate components enhance for Hall current and reduce for a stronger magnetic field. With increasing heat source parameter, the primary skin-friction component rises and secondary skin-friction component decreases at the left wall with higher temperature, while at the right wall with lower temperature both skin-friction components have increasing nature, and reverse impacts are observed for the heat sink. Due to the presence of heat source, primary (secondary) mass flow rate component enhances (reduces) and opposite effects have found for the heat sink.