Mathematical Analysis of Blood Flow through a Stenosed Human Artery
Journal Title: Annals. Computer Science Series - Year 2018, Vol 16, Issue 2
Abstract
This paper examines the mathematical analysis of blood flow through a stenosed human artery. Change in the nature of blood flow from its normal state to a disturbed flow condition due to the presence of stenoses in the human artery is the focus of this paper. It was suggested that the deposits of cholesterol on the arterial wall and proliferation of connective tissue are responsible for the abnormal growth in the arterial lumen. Governing equations on blood flow in the human arteries were derived. The content of the equations are the variables of interest such as number (n) of stenosis, percentage of Hematocrit (H) of red blood cells in the blood and the length (Z) of the artery, guided by medical data collected on the constraint of blood flow in a stenosed human arteries. The governing equations were used to check the effects of pressure gradient, wall shear stress, velocity and volumetric flow rate of blood in the human arteries. Also, the one-dimensional equation for the steady and axially symmetric flow of blood through an artery is transformed using Einstein’s coefficient of viscosity and hematocrit of red blood cells with the help of the boundary conditions. It was revealed that increase in Hematocrit and viscosity decreases the arterial wall shear stress, which indicate an increase in human heart pressure. However, increase in Hematocrit (H) and the length of the artery (Z) reduces the arterial wall shear stress, this signifies the damage of veins around the arteries. The blood pressure gradient increases as the length of the artery (Z) and Hematocrit increases, this suggests clotting of blood in human heart which can lead to death.
Authors and Affiliations
Sefiu Adekunle ONITILO, Mustapha Adewale USMAN
Keywords
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