Mohd. Zainul Abidin, Siti Nurulaifa and Ismail, Zuhaila and Jaafar, Nurul Aini (2021) Mathematical modeling of unsteady solute dispersion in bingham fluid model of blood flow through an overlapping stenosed artery. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 87 (3). pp. 134147. ISSN 22897879

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Official URL: http://dx.doi.org/10.37934/arfmts.87.3.134147
Abstract
An artery narrowing referred to as atherosclerosis or stenosis causes a reduction in the diameter of the artery. When blood flow through an artery consists of stenosis, the issue of solute dispersion is more challenging to solve. A mathematical model is developed to examine the unsteady solute dispersion in an overlapping stenosed artery portraying blood as Bingham fluid model. The governing of the momentum equation and the constitutive equation is solved analytically. The generalized dispersion model is imposed to solve the convectivediffusion equation and to describe the entire dispersion process. The dispersion function at steadystate decreases at the center of an artery as the stenosis height increase. A reverse behavior is shown at an unsteadystate. As the plug core radius, time and stenosis height increase, the dispersion function decreases at the center of an artery. There is a high amount of red blood cells at the center of the artery but no influences near the wall. Hence, this model is useful in transporting the drug or nutrients to the targeted stenosed region in the treatment of diseases and in understanding many physiological processes.
Item Type:  Article 

Uncontrolled Keywords:  overlapping stenosis, solute dispersion, steady flow 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  94818 
Deposited By:  Yanti Mohd Shah 
Deposited On:  29 Apr 2022 22:27 
Last Modified:  29 Apr 2022 22:27 
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