Fluid Analysis of Double-Layered Blood Flow through a Tapered Overlapping Stenosed Artery with a Porous Wall

Document Type : Full Lenght Research Article

Authors

1 Department of Mathematics, University of Ilorin, Ilorin, Nigeria

2 School of Early Childhood Care and Primary Education, Federal College of Education (T) Potiskum, Yobe State, Nigeria

Abstract

In this present work, we examine the fluid of double-layered blood flow through a tapered overlapping stenosed artery with a porous wall. This two-layered blood flow problem comprises the peripheral layer as Newtonian fluid flows and the central core layer of suspension of the erythrocytes as another Newtonian fluid flows and was analytically solved which the numerical results are shown graphically and discussed. It was found that resistance to flow accelerates with rising slip parameter, blood viscosity, and artery length while a rise in Darcy number and radius of the centre core to the tube radius in the unobstructed region decreases the resistance to flow. Also, the resistance to flow rises with increasing stenosis height whereas it increases with a rise in values of artery shape. The wall shear stress drops as the Darcy number accelerates and rises with rising viscosity of the blood and slip parameter. Furthermore, fluctuation of wall shear stress at the neck of the stenosis drops as the Darcy number increases. Moreover, it is observed that the shear stress increases with rising viscosity of the blood and slip parameter. This work is able to forecast the major attribute of the physiological flows which have played an important role in biomedical researches.

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