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Abstract

This study aims to investigating the effect of magnetic field and porosity on non-Newtonian flow of blood through a tapered, and overlapping stenosed artery. The Casson fluid model represents the rheological character of blood. A tapered and overlapping stenosed artery influences the hemodynamic behavior of the blood flow. The problem is solved by using analytical techniques with the help of boundary conditions, and results are displayed graphically for different flow characteristics like pressure drop, shear stress, velocity profile and stream function. It is realized that rises in Darcy number and Womersley number accelerates the velocity profile and reduces the radial direction, but increases in magnetic field reduces the velocity profile. The pressure drop is increasing with an increase in magnetic field and Womersley number but drops with an increase in the value of Darcy number. The wall shear stress is increasing with an increase in the value of magnetic field, at a stenosis region but converse at a non-stenosis region, it drops by ascending in the value of Darcy number, and increases as Womersley number rising, and the wall shear stress decelerate as tapered angle rises. The interesting outcomes collected in this literature review and survey conducted can aid the medical practitioners to predict blood movement in an atherosclerotic arteries. More so, from this study we discovered that magnetic field parameter possesses the ability to reduce viscosity of the blood, a leading cause of heart attack, strokes, anaemia and many other cardiovascular diseases.

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