Rotator-cuff tear and vascular-related stenosis are common diseases in the elder persons. A balloon-like rotator-cuff is proscribed as the usual clinical intervention. Recently, computational schemes are being sought to enhance clinical outcomes in vascular-related repairs. This paper presents a numerical treatment of asymmetrically-shaped goldembedded nanoparticle in stenotized conduit under the influence of magnetic field. We described the dynamics of fluid and particle transport under externally imposed field effect using established mathematical formulations. Thereafter, a robust numerical scheme built around spectra-relaxation scheme to implement the solution over conformation in the Au-blood stream under magnetic field imposition.