Abstract
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.
Highlights
Different medical surveys indicate that more than 80% of the deaths occurring in the human beings are due to the malfunctioning of the cardiovascular system
Stenosis is the narrowing of the blood vessel
The governing nonlinear equations of the present flow problem are solved by employing standard perturbation method
Summary
Different medical surveys indicate that more than 80% of the deaths occurring in the human beings are due to the malfunctioning of the cardiovascular system. The pattern of the blood flowing in the arteries is altered due to the presence of stenosis. Stenosis is the narrowing of the blood vessel. Under disease conditions the arteries become thicker and hardened which results in the formulation of the stenosis. Dwivedi et al.[1] investigated the flow of micropolar fluid in small tapered tube he indicated that the blood vessels are tapered and branched in the direction of flow. The tapering nature of blood vessel is one of the major causes of development of pressure and according to the Chaturani and Prahlad[2] significant variations in pressure are observed even for small taper angles (up to 2◦). The study of blood flow in the tapered arteries is very important
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