NUMERICAL SIMULATION OF MAGNETIC NANODRUG DELIVERY ON UNSTEADY HERSCHEL–BULKLEY BLOOD FLOW IN A STENOTIC ARTERY WITH A SACCULAR ANEURYSM

A two-dimensional mathematical model for electrically conducting rheological hemodynamic transport through a fibromuscular dysplasia artery featuring a contraction (stenosis) and saccular aneurysm under transverse (radial) magnetic field is developed. The Herschel-Bulkley fluid model has been employed to characterize rheological behavior, and the Tiwari-Das model has been utilized to evaluate the effects of nanoscale volume fraction. The normalized governing equations are solved numerically with physically appropriate boundary conditions using the finite element method, employing the variational formulation framework provided by the FreeFEM++ software. A comprehensive mesh-independence study is included. An excellent correlation is observed between the FreeFEM++ computations and the existing results. The influence of selected parameters on velocity, temperature, and wall shear stress has been analyzed for two clinically significant cases of arteries with a stenosis and a saccular aneurysm. Color contours and graphical representations are utilized to illustrate the characteristics of the simulated blood flow. The simulations are more relevant to transport phenomena in pharmacology and the targeted delivery of nanodrugs in vascular science.