Bio-fluid flow in a rectangular duct under the action of a traveling wave magnetic field

The laminar, incompressible, three-dimensional, viscous unsteady blood flow in a straight rectangular duct was numerically studied under the action of a sinusoidal traveling wave magnetic field. The mathematical model was based on magnetohydrodynamics and numerical results were obtained using a finite volume method. The magnetohydrodynamic characteristics with consideration of wall effect and skin effect were investigated. The results show that the blood flow is appreciably influenced by the application of the traveling magnetic field. The wall effect and skin effect reduce the eddy current greatly and thus lower the effective electromagnetic force and pressure head largely when the flow rate is constant.