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| In this study, we numerically investigate the fundamental problem of biomagnetic fluid flow in an aneurismal geometry under the influence of a steady localized magnetic field. The mathematical model used for the formulation of the problem is consistent with the principles of ferrohydrodynamics (FHD). Blood is considered as a homogeneous non-isothermal Newtonian fluid and is treated as an electrically non-conducting magnetic fluid. For the numerical solution of the problem, which is described by a coupled, non-linear system of PDEs, with appropriate boundary conditions, the stream function vorticity formulation is adopted. The solution is obtained by the application of an efficient pseudotransient numerical methodology using finite differences. This methodology is based on the application of a semi-implicit numerical technique, transformations stretching of the grid and proper construction of the boundary conditions for the vorticity. Results concerning the velocity and temperature field, skin friction and rate of heat transfer indicate that the presence of the magnetic field influences the flow field considerably especially in the region of the aneurism. |
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