Simulation of magnetic field effect on non-Newtonian blood flow between two-square concentric duct annuli using FDLBM

In this paper, the effect of a magnetic field on non-Newtonian blood flow between two-square concentric duct annuli has been analyzed by finite difference lattice Boltzmann method (FDLBM). The inner cylinder is fixed as the outer cylinder is driven by its top lid. It was assumed that the viscosity of the blood flow is shear-dependent as the power-law model has been selected for the viscosity of the flow. This study has been performed for the certain pertinent parameters of Reynolds number ( Re= 100 and 400), Stuart number ( N= 0, 1, and 10), the length of the inner cylinder ( A= L/4 and L/2) and power-law index ( n= 0.6, 1 and 1.4) as the magnetic field is applied at different inclinations of γ= 0° and 90°. Results show that the increment of Reynolds number augments the effect of magnetic field on the blood flow. Furthermore, the drop in the power-law index increases the influence of the magnetic field. The vertical magnetic field ( γ= 90°) has a greater effect on the main circulation in the cavity in comparison with the horizontal magnetic field ( γ= 0°). The influence of the magnetic field on the fluid flow in the cavity decreases as the size of the inner cylinder alters from A= L/4 to L/2.