Finite element analysis of magnetohydrodynamic effects on blood flow in an aneurysmal geometry

Abstract

Blood flow in an aneurysmal geometry, subjected to a static and uniform magnetic field, was studied. Blood was considered as a Newtonian, incompressible, and electrically conducting fluid. The nonlinear system of partial differential equations, describing the blood flow under the presence of a magnetic field, was discretized by the Galerkin weighted residual method. The transformation in generalized curvilinear coordinates facilitates the solution of the governing equations within arbitrary geometries. Pressure and velocity fields along with wall shear stress distributions were obtained for varying magnetic field intensities and directions. The visualization of the blood streamlines in the dilatation region highlights the effect of a magnetic field on the recirculation zones. The application of static magnetic fields can yield spatio-temporal description of blood flow patterns. The current study discusses implications of the hemodynamic properties estimated by respective screening techniques since the static magnetic field might cause alterations that possibly cannot be detected and thus eliminated.