The effect of body acceleration on the dispersion of solute in a non-Newtonian blood flow through an artery
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 9 June 2021
Issue publication date: 10 August 2021
Abstract
Purpose
The purpose of this study is to solve convective diffusion equation analytically by considering appropriate boundary conditions and using the Taylor-Aris method to determine the solute concentration, the effective and relative axial diffusivities.
Design/methodology/approach
>An analysis has been conducted on how body acceleration affects the dispersion of a solute in blood flow, which is known as a Bingham fluid, within an artery. To solve the system of differential equations analytically while validating the target boundary conditions, the blood velocity is obtained.
Findings
The blood velocity is impacted by the presence of body acceleration, as well as the yield stress associated with Casson fluid and as such, the process of dispersing the solute is distracted. It graphically illustrates how the blood velocity and the process of solute dispersion are affected by various factors, including the amplitude and lead angle of body acceleration, the yield stress, the gradient of pressure and the Peclet number.
Originality/value
It is witnessed that the blood velocity, the solute concentration and also the effective and relative axial diffusivities experience a drop when either of the amplitude, lead angle or the yield stress rises.
Keywords
Acknowledgements
This project was supported in part by the Universiti Teknologi Malaysia for supporting this present work by funding the research grant GUP Tier 2 (Vote number Q.J130000.2654.17J12. The co-author Ali E. Anqi would like to extend his appreciation to the Deanship of Scientific Research at King Khalid University for the support he received through General Research Project under the grant number (R.G.P.2/138/42).
Conflicts of interest: The authors declare no conflict of interest.
Citation
Saadun, N.H., Jaafar, N.A., Md Basir, M.F., Anqi, A. and Safaei, M.R. (2021), "The effect of body acceleration on the dispersion of solute in a non-Newtonian blood flow through an artery", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 8, pp. 2560-2579. https://doi.org/10.1108/HFF-11-2020-0706
Publisher
:Emerald Publishing Limited
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