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

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.

Copyright

© 2023 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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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  -