MHD heat transfer two-ionized fluids flow between parallel plates with Hall currents

Abstract

Abstract A theoretical attempt is made to investigate the effect of Hall current on temperature distribution in MHD two-fluid flow of ionized gases (plasma) through horizontal channel bounded by two parallel plates under the action of an applied transverse magnetic field. It is assumed that the magnetic Reynolds number is small. The fluids in the two regions are considered to be incompressible, immiscible and electrically conducting with different viscosities, electrical and thermal conductivities. The transport properties of the two fluids are taken as constant. The governing momentum and energy equations for two-fluids that flow in two regions are detailed when the temperature of the two plates are prescribed to be the same. The solution is carried out in two cases, that is, (1) when the plates are made of the non-conducting and (2) conducting materials. The profiles for temperature distribution and rate of heat transfer coefficients are plotted for different set of values of the governing parameters. The effect of parameters on the temperature distribution and rate of heat transfer coefficient is discussed. It is observed in the case of non-conducting plates that the temperature distribution is independent of the ratio of electron pressure to the total pressure which relies on this parameter for conducting plates. It is seen in the case of conducting plates that an increase in Hall parameter diminishes the temperature distribution in the two regions for fixed values of the remaining parameters (i.e., Hartmann number, viscosity ratio, height ratio, electrical conductivity ratio and the ratio of thermal conductivities). It is expected that this theoretical study may have some practical application to numerous diversified areas like geophysical flows, aerospace science, in particular, aerodynamic heating and in engineering applications such as MHD generators, Hall accelerators, in thermo-nuclear power reactors and so forth.