Exact Analysis of Unsteady Convective Diffusion in Herschel-Bulkley Fluid Flow- Application to Catheterised Stenosed Artery

Authors

  • Siti Nurul Aifa Mohd Zainul Abidin Department of Mathematical Sciences, Fakulti of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Nurul Aini Jaafar Department of Mathematical Sciences, Fakulti of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia
  • Zuhaila Ismail Department of Mathematical Sciences, Fakulti of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

DOI:

https://doi.org/10.37934/cfdl.14.11.7587

Keywords:

Blood flow, catheter, solute dispersion, Stenosis, Herschel-Bulkley fluid

Abstract

One of the major causes of cardiovascular disease is atherosclerosis or stenosis. This study is designed to improve the current body of knowledge regarding the condition by inserting a long thin tube called a catheter to widen the narrow part in the artery. The study reviewed the effects of catheter radius, yield stress, and power law index on the velocity distribution, and transport coefficients of solute. A mathematical model is deployed to investigate the dispersion of solute in the flow of a Herschel-Bulkley (H-B) fluid in an annulus, whereas the dispersion process is studied using the generalised dispersion model (GDM) by solving the convective diffusion equation. Resultan tly, the velocity reduces following an increase in the yield stress, catheter size, and power law index. Meanwhile, the dispersion coefficient exhibits a same behaviour as the aforementioned parameters ascend considerably. The dispersion coefficient alterations occurred rapidly for small values of time and became significantly constant following an increase in the time values. Conclusively, this study can be useful in dispersion of a drug to the affected artery where an abnormal plaque was formed.

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Author Biographies

Siti Nurul Aifa Mohd Zainul Abidin, Department of Mathematical Sciences, Fakulti of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

Nurul Aini Jaafar, Department of Mathematical Sciences, Fakulti of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

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Published

2022-11-12

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