Abstract
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.
•In this paper, 2D, unsteady flow of an electrically conducting biofluid (blood) in a rectangular channel is studied.•The viscosity of the fluid is considered to be a strong function of temperature.•Nonlinear set of equations is solved numerically by using upwind scheme along with successive over relaxation technique.•Solutions are presented in terms of streamlines, vorticity function, velocity component and temperature function contours.•It is found that the fluid flow is highly effected due to the presence of magnetic source and strong variable viscosity.