Abstract— The cardiovascular disease patients are more at risk of having stenosis disease due to blocked and narrowed blood arteries. The need of creating a mathematical model to recognize and understand the hemodynamic characteristics of blood rheology cannot be overstated. The current work uses erratic blood flow through an inclined stenosed artery and treats blood as a non-Newtonian fluid, such as Bingham Plastic fluid. The Perturbation approach has been used to solve the non-linear differential equations of the aforementioned mathematical model combined with the suitable boundary conditions guiding the fluid flow. With the aid of MATLAB, positive numerical computation findings have been determined along with the body acceleration, slip condition, and asymmetric stenosis effect at the stenosed wall. For the Bingham Plastic fluid, the analysis of flow parameters such as plug core velocity, plug core radius, wall shear stress, volumetric flow rate, and effective viscosity has been optimized under a variety of rheological factors including yield stress, inclination, the size of the stenosis's effect, slip, and body acceleration.