Analysis of rheological properties of Herschel-Bulkley fluid for pulsating flow of blood in ω-shaped stenosed artery

In the present article, we examined the pulsating flow of blood in the tapered ω-shaped stenosed arterial segment. The Herschel-Bulkley fluid model is used to represent the non-Newtonian characteristics of blood in narrow arteries. The equation governing the present flow is modelled by assuming that the flow is unsteady and one dimensional. Regular perturbation method is used to find the first order expression of various flow variables. The temporal and axial distributions of velocity, wall shear stress, volumetric flux and resistance to the flow are displayed graphically. The effects of various involved parameters on the radius of plug flow region are also discussed. A comparison between the flow of blood in single symmetric and ω-shaped stenotic regions of the arteries is also analyzed