The current research focuses on investigating the influence of magnetic forces and differently shaped nanoparticles within diverging tapering arteries afflicted with stenoses, utilizing a blood flow model. A notable aspect of this study is the exploration of metallic nanoparticles of various shapes within a water-based fluid medium, a research area that remains largely unexplored. To simulate blood flow dynamics, a radially symmetric yet axially non-symmetric stenosis configuration is employed, providing insights into the complex flow patterns within diseased arteries. A significant contribution of our research lies in the analysis of the symmetrical distribution of wall shearing stresses and their correlation with resistive impedance. Moreover, we investigate the progressive rise of these quantities in tandem with stenosis severity. Through numerical simulations, we evaluate several flow parameters, including velocity, temperature, resistance impedance, boundary shear stress, and shearing stress at the stenosis throat. These assessments provide a comprehensive understanding of the multifaceted effects of nanoparticle shape and magnetic forces on blood flow characteristics within tapered arteries. Furthermore, our study explores the graphical representation of various flow quantities across a spectrum of relevant parameters for Cu-blood systems. By examining different types of tapered arteries, particularly diverging tapering configurations, we gain insights into the intricate interplay between arterial geometry, fluid rheology, and nanoparticle behavior.