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Atherosclerosis is the principal cause of heart diseases and hemodynamics is a vital aspect. For current work, Large Eddy Simulation (LES) technique is chosen to visualize the variation between non-Newtonian Carreau and Casson viscosity models to simulate hemodynamics in idealized version of 75% eccentrically occluded artery. In the LES methodology, although the unsolved movements are rendered using the Smagorinsky-Lily model, the full resolution of large-size movements is achieved. Considering the swirl component of blood, a unique parabolic and pulsatile inlet velocity boundary condition is created to represent a realistic blood flow. By using proposed framework, the precise blood flow configuration and turbulent characteristics of the circulatory system are represented in a specific design. It was observed that the Casson model projected greater blood flow instability than the Carreau model, whereas the Carreau model predicted higher fluctuations in speed, pressure, and wall shear stress. High speed, pressure and WSS variations are responsible for a psychological problem termed arterial murmur.