The current study is centered on the application of magnetically targeted drug delivery in a constricted vertical bifurcated artery utilizing Fe O nanoparticles. The arterial stenosis is characterized by a bell-shaped narrowing in the parent artery and overlapping narrowing in the daughter artery. The blood is regarded as exhibiting the rheological behavior of a Casson fluid. The temperature-dependent nature of blood viscosity is postulated, and Reynold’s viscosity model describes it. This study examines the impact of electromagnetohydrodynamics (EMHD), body acceleration, Joule heating, and viscous dissipation. The assumption of a no-slip velocity condition is made at the walls of the artery. The governing equations are subjected to a process of non-dimensionalization and simplification, employing the mild-stenosis approximation. The resulting equations are subsequently solved in MATLAB by employing the finite-difference Crank–Nicolson technique. Entropy plays a significant role during any treatment or surgery; therefore, the present problem addresses entropy generation minimization. The results for velocity, temperature, wall shear stress, flow rate, impedance, heat transfer rate, entropy generation number, and Bejan number are represented graphically. The velocity contours illustrate that the flow velocity enhances with the Casson fluid and particle mass parameters. Furthermore, the number of trapped bolus also increases in the daughter artery. The nanofluid velocity and particle velocity decrease with an increase in the particle concentration parameter in the parent artery and the daughter artery. Entropy declines with the temperature difference parameter increment, whereas the Bejan number enhances. Magnetite (Fe O ) nanoparticles have various applications owing to their biocompatibility, elevated magnetic susceptibility, chemical stability, non-toxic nature, and cost-effectiveness.
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