The shape of nanoparticles plays a vital role in their transportation and adhesion in to cardiovascular system. The specific adhesion of nanoparticles to vascular surface has numerous potential applications such targeted drug delivery, biomedical imaging, and cancer treatment. This paper proposes a novel modeling method that provides insights of the dynamic interaction between nanoparticle and vessel wall. The ligand-receptor adhesion kinetics along with brownian dynamics is coupled with hydrodynamics to study the dynamic delivery process. The binding probability of two different shaped nanoparticles is evaluated and compared using Brownian adhesion dynamics model. Nanorod is found to contact and adhere to the wall surface easier than conventional nanosphere under same vascular flow conditions. This research work will explore the shape effect on targeted delivery process and eventually that will help researchers to design micro/nanoparticles for enhanced targeted adhesion to cells of interest.