Dispersion of Solute in Casson Fluid through a Stenosed Artery with the Effect of Body Acceleration

Authors

  • Nuur Atikah Elias Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia
  • Nurul Aini Jaafar Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia
  • Intan Diyana Munir Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.37934/arnht.13.1.8795

Keywords:

Body acceleration, Slip velocity, Casson fluid, Dispersion of solute, Generalized Dispersion Model

Abstract

Body acceleration and slip velocity effects towards the dispersion of solute in Casson blood flow through a stenosed artery is investigated mathematically. Momentum and constitutive equations are solved analytically to obtain the blood velocity. Convective-diffusion equation is solved using Generalized Dispersion Model to obtain dispersion function and mean concentration of solute. A study has been conducted on how body acceleration and slip velocity disturb the dispersion of a solute in blood flow. With the increase of slip velocity and body acceleration, blood velocity increases. The impact of body acceleration on blood flow is to increase flow rate while lowering resistance to flow. Casson fluid is a suitable fluid model to examine the blood velocity and drug transport to the targeted problematic region through a narrow artery for the treatment of arterial diseases. The findings of the present study can be beneficial for pharmaceutical research to design better drug by referring mathematical analysis data that produced in this study.

Author Biographies

Nuur Atikah Elias, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

atikahelias97@gmail.com

Nurul Aini Jaafar, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

nurulaini.jaafar@utm.my

Intan Diyana Munir, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

intandiyana1995@graduate.utm.my

Sharidan Shafie, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

sharidan@utm.my

References

Thomas, Hana, Jamie Diamond, Adrianna Vieco, Shaoli Chaudhuri, Eliezer Shinnar, Sara Cromer, Pablo Perel et al. "Global atlas of cardiovascular disease 2000-2016: the path to prevention and control." Global heart 13, no. 3 (2018): 143-163. https://doi.org/10.1016/j.gheart.2018.09.511

Nagarani, P., and G. Sarojamma. "Effect of body acceleration on pulsatile flow of Casson fluid through a mild stenosed artery." Korea-Australia Rheology Journal 20, no. 4 (2008): 189-196.

Jaafar, N. A., Y. M. Yatim, and D. S. Sankar. "Effect of chemical reaction in solute dispersion in Herschel-Bulkley fluid flow with applications to blood flow." Advances and Applications in Fluid Mechanics 20, no. 2 (2017): 279-310. https://doi.org/10.17654/FM020020279

Das, Prosanjit, Sarifuddin, and Prashanta Kumar Mandal. "Solute dispersion in Casson fluid flow through a stenosed artery with absorptive wall." Zeitschrift für angewandte Mathematik und Physik 71, no. 3 (2020): 100. https://doi.org/10.1007/s00033-020-01322-8

Rana, Jyotirmoy, and P. V. S. N. Murthy. "Unsteady solute dispersion in small blood vessels using a two-phase Casson model." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2204 (2017): 20170427. https://doi.org/10.1098/rspa.2017.0427

Lee, T. S. "Numerical study of fluid flow through double bell‐shaped constrictions in a tube." International Journal of Numerical Methods for Heat & Fluid Flow 12, no. 3 (2002): 258-289. https://doi.org/10.1108/09615530210422947

Mandal, D. K., N. K. Manna, and S. Chakrabarti. "Influence of different bell-shaped stenoses on the progression of the disease, atherosclerosis." Journal of mechanical science and technology 25 (2011): 1933-1947. https://doi.org/10.1007/s12206-011-0621-7

Debnath, S., A. K. Saha, P. G. Siddheshwar, and A. K. Roy. "On dispersion of a reactive solute in a pulsatile flow of a two-fluid model." Journal of Applied Fluid Mechanics 12, no. 3 (2019): 987-1000. https://doi.org/10.29252/jafm.12.03.29101

Sankar, D. S., and Usik Lee. "Nonlinear mathematical analysis for blood flow in a constricted artery under periodic body acceleration." Communications in Nonlinear Science and Numerical Simulation 16, no. 11 (2011): 4390-4402. https://doi.org/10.1016/j.cnsns.2011.03.020

Chaturani, P., and V. Palanisamy. "Pulsatile flow of blood with periodic body acceleration." International Journal of Engineering Science 29, no. 1 (1991): 113-121. https://doi.org/10.1016/0020-7225(91)90081-D

Sankar, D. S., Nurul Aini Binti Jaafar, and Yazariah Yatim. "Nonlinear analysis for shear augmented dispersion of solutes in blood flow through narrow arteries." Journal of Applied Mathematics 2012 (2012). https://doi.org/10.1155/2012/812535

Gill, W. N., and R. Sankarasubramanian. "Exact analysis of unsteady convective diffusion." Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 316, no. 1526 (1970): 341-350. https://doi.org/10.1098/rspa.1970.0083

Downloads

Published

2023-09-01

How to Cite

Nuur Atikah Elias, Nurul Aini Jaafar, Intan Diyana Munir, & Sharidan Shafie. (2023). Dispersion of Solute in Casson Fluid through a Stenosed Artery with the Effect of Body Acceleration. Journal of Advanced Research in Numerical Heat Transfer, 13(1), 87–95. https://doi.org/10.37934/arnht.13.1.8795

Issue

Section

Articles

Most read articles by the same author(s)