Radiation effect on magnetohydrodynamics flow with induced magnetic field and Newtonian heating/cooling: an analytic approach

Dileep Kumar ^a,b

a. Department of Mathematics, School of Sciences, National Institute of Technology Andhra Pradesh, Tadepalligudem, Andhra Pradesh, 534101, India
         b. Department of Mathematics, Indian Institute of Information Technology Kota, Jaipur, 302017, India

Abstract: The aim of the present analysis concerns the magnetohydrodynamic flow of fluid which is natural convective and electrically charged through two vertical insulated walls. Influences of radiative heat flux, induced magnetic field, and the Newtonian heating/cooling are taken. We found exact expressions for the temperature field, the velocity field, and the induced magnetic field by solving the set of dimensionless coupled governing equations. Further, we obtained the equations for induced current density, Nusselt number, skin frictions as well as mass flux. The influences of the several constraints like the magnetic, the radiation and the Newtonian heating/cooling on the profiles of the velocity, the temperature field, the induced magnetic field as well as the current density display with graphics.  Moreover, the influence of these non-dimensional parameters on the skin frictions, the Nusselt number, and the mass flux is explored in tabular form. The outcome of the radiation raised the velocity, the temperature field, the induced magnetic field and the current density field in view of enhancing the thickness of the boundary layer. Also, the impact of Newtonian heating is to raise the velocity, temperature, induced magnetic field and induced current density, whereas all these fields have opposite behaviors in case of Newtonian cooling.

Keywords: Magnetohydrodynamics; Thermal radiation; Newtonian heating/cooling; Induced magnetic field; Skin friction

https://doi.org/10.1016/j.jppr.2021.07.001