# Mathematical modeling of unsteady solute dispersion in bingham fluid model of blood flow through an overlapping stenosed artery

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. 134-147. ISSN 2289-7879

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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 convective-diffusion equation and to describe the entire dispersion process. The dispersion function at steady-state decreases at the center of an artery as the stenosis height increase. A reverse behavior is shown at an unsteady-state. 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 overlapping stenosis, solute dispersion, steady flow Q Science > QA Mathematics Science 94818 Yanti Mohd Shah 29 Apr 2022 22:27 29 Apr 2022 22:27

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