Mathematical Model Governing Magnetic Field Effect on Bio Magnetic Fluid Flow and Orientation of Red Blood Cells

In this work a mathematical model is developed for measuring orientation of red blood cells in magnetic field and governing the bio-magnetic fluid flow is presented for the viscous, two-dimensional, incompressible and laminar time dependent heat transfer flow is considered. Expressions describing the variation of the saturation magnetization of the fluid with temperature or the magnetic field intensity are also given. Flow takes place in channel between two porous walls under the influence of the magnetic dipole located beyond the channel. It is assumed that there is no electric field effect and the variation in the magnetic field vector that could occur within the bio-magnetic fluid is negligible. This magneto-thermo-mechanical problem is governed by dimensionless equations. The results obtained from the numerical solution of this problem, showed that the fluid flow is appreciably influenced by the applied magnetic field. The red blood cells were oriented with their disk plane parallel to the magnetic field direction.