 This paper examines the behavior of a hybrid nanofluidic model consisting of nanodiamonds and silicon nanoparticles. It studies how these particles interact with each other and with a non-Newtonian fluid in a catheterized tapered artery. The authors use a magnetic field to study the flow's rheology and also consider heat transfer. They solve the resulting equations using a perturbation method and explain the results in terms of velocity, temperature, and wall shear stress. This paper provides insight into potential applications of these particles in biomedical research, including drug delivery and biological imaging. This article was authored by Sahi Abdel Salam and M. M. Bhatti.