Biomagnetic flow in a curved square duct under the influence of an applied magnetic field

The laminar incompressible fully developed biomagnetic (blood) flow in a curved square duct under the influence of an applied magnetic field is studied. The mathematical formulation is based on the model of biomagnetic fluid dynamics which is consistent with the principles of ferrohydrodynamics. According to this formulation blood is considered as an electrically nonconducting, homogeneous, and Newtonian magnetic fluid. For the numerical solution of the problem, which is described by a coupled, nonlinear system of partial differential equations, with their appropriate boundary conditions, the SIMPLE method is used. The results indicate that the axial velocity as well as the secondary flow at the transverse plane are appreciably influenced and indicate that the magnetic field could be used for controlling the blood flow by magnetic means.