Thermal radiation therapy of biomagnetic fluid flow in the presence of localized magnetic field

Abstract

Present work describes the applications of magnetic field and thermal radiation on the two-dimensional, unsteady flow of bio-magnetic fluid (blood) in a rectangular vessel. The viscosity of the fluid is considered to be an exponential function of temperature. The radiative heat flux is approximated with the help of Stefan Boltzmann law, which is a nonlinear function of temperature. The governing nonlinear, coupled system of partial differential equations for the underlying problem is represented in terms of stream function-vorticity formulation, which is further solved numerically with the help of upwind scheme along with successive over relaxation method. For the validation of the solutions, results are compared with the numerical and experiemental data available in the literature. In order to notice the influence of localized magnetic field and thermal radiation, solutions are presented graphically in terms of streamlines, isotherms, vorticity function contours and velocity component contours and are discussed both qualitatively and quantitatively from the physiological point of view.