Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)

# Analysis on the Solute Dispersion in Blood Flow Through an Inclined Artery with the Presence of Chemical Reaction

Authors
Intan Diyana Munir1, Nurul Aini Jaafar1, *, Sharidan Shafie1
1Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310, Johor Bahru, Johor, Malaysia
*Corresponding author. Email: nurulaini.jaafar@utm.my
Corresponding Author
Nurul Aini Jaafar
Available Online 12 December 2022.
DOI
10.2991/978-94-6463-014-5_35How to use a DOI?
Keywords
Inclined artery; Bingham model; Solute dispersion; Chemical reaction; Taylor-Aris method
Abstract

The present study discusses on the solute dispersion in a blood flow through an inclined artery with the presence of chemical reaction. The blood flow is considered to be laminar, incompressible and steady flow of Bingham model. The continuity and momentum equations are solved in cylindrical coordinate for the velocity solution using direct integration method. The steady convective-diffusion equation with the presence of chemical reaction is in the form of non-homogeneous Bessel differential equation and is solved analytically for the solute concentration. The obtained solutions are then utilized for the Taylor-Aris method for obtaining the solution for effective axial diffusion. The solutions of velocity, solute concentration and effective axial diffusion are plotted graphically to analyse the effect of angle of arterial inclination, gravitational force and chemical reaction rate on the blood flow and solute dispersion. Result shows an increase in velocity profile of blood flow as the angle of inclination increases until $$90^\circ$$ inclination which has the highest velocity profile. As the artery inclined more, the velocity profile decreases until it reaches the lowest velocity at $$270^\circ$$ inclination. Consequently, increase in velocity decreases the solute concentration inside the artery. Nevertheless, solute concentration increases as the angle of inclination increase. Additionally, the increase in chemical reaction rate decreases the solute concentration and leads to decrease in effective axial diffusion.

Open Access

Volume Title
Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
Series
Publication Date
12 December 2022
ISBN
10.2991/978-94-6463-014-5_35
ISSN
2352-538X
DOI
10.2991/978-94-6463-014-5_35How to use a DOI?
Open Access

TY  - CONF
AU  - Intan Diyana Munir
AU  - Nurul Aini Jaafar
AU  - Sharidan Shafie
PY  - 2022
DA  - 2022/12/12
TI  - Analysis on the Solute Dispersion in Blood Flow Through an Inclined Artery with the Presence of Chemical Reaction
BT  - Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
PB  - Atlantis Press
SP  - 398
EP  - 410
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-014-5_35
DO  - 10.2991/978-94-6463-014-5_35
ID  - Munir2022
ER  -