Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field
Mathematical Modelling and Applications
Volume 5, Issue 3, September 2020, Pages: 129-137
Received: May 8, 2020;
Accepted: May 22, 2020;
Published: Jun. 4, 2020
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Kubugha Wilcox Bunonyo, Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria
Emeka Amos, Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
The purpose of this research is to formulate mathematical models to investigate lipid concentration effect on blood flow though an inclined arterial channel with magnetic field. The formulated coupled partial differential equations were made dimensionless and reduced to ordinary differential equation using a perturbation technique, the nonlinear ordinary differential equations were solved analytically for the blood velocity and lipid concentration profiles respectively with some resultant pertinent parameters. Numerical simulations were carried out using Mathematica codes developed by the authors for the flow profiles by carefully varying the pertinent parameters to study the effect of each of the parameters on velocity and concentration profiles respectively. It is notice that the solutal Grashoff number, Darcy number, angle of inclination, time and the treatment parameters respectively causes the velocity profiles to increase, while the parameters such as the onset, length of stenosis, Schmidt number, magnetic field intensity, and pulse rate respectively decelerate the velocity profile. Secondly, the parameters such as length of stenosis, the pulse rate, Schmidt number and the treatment parameters decelerate the concentration profile while the onset parameter increases the concentration profile and the results were presented graphically. We can conclude that lipid concentration and some of the resulted pertinent parameters either increases or decreases the flow profiles and of great importance in studying blood velocity in arterial channel.
Kubugha Wilcox Bunonyo,
Lipid Concentration Effect on Blood Flow Through an Inclined Arterial Channel with Magnetic Field, Mathematical Modelling and Applications.
Vol. 5, No. 3,
2020, pp. 129-137.
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