Strong temperature dependent viscosity effects on bio-magnetic fluid flow under the action of localized magnetic field and viscous dissipation

In this study consideration has been given to the two-dimensional, unsteady, laminar flow of an electrically conducting bio-fluid (blood) in a rectangular channel. In this model both magnetization and electrical conductivity of blood are taken into account. The viscosity of the fluid is also assumed to be a strong function of temperature. The coupled, nonlinear system of equations are transformed into the stream function-vorticity-temperature formulation. These equations along with the suitable boundary conditions are solved iteratively by using the upwind scheme along with successive over relaxation method. The numerical results obtained here are illustrated in terms of streamlines, vorticity function, velocity component and temperature function contours. The results show that the flow is effected to a great extent owing to the presence of the magnetic source. It is observed that the temperature values increases due to an increase in magnetic intensity for all the contours plotted in this study. It is also noticed that variable viscosity greatly influenced the flow field and generates a lot of vortices within the vicinity of the walls.