Based on the Navier–Stokes equations, this paper presents a basic mathematical model of blood flow. The Navier–Stokes equations regulate blood, a Newtonian fluid from which the circular system equation is derived. The normal blood flow rate is generally represented mathematically, and Poiseuille’s equation is used to create the blood pressure model. OriginPro2016 is then used to examine these models in relation to the vessel’s length, the surface, and pressure gradients. The study serves as an example of the development of intricate models using three-dimensional analysis and the significance of fluid dynamics in human circulation.