The effect of body acceleration on the dispersion of solute in a non-Newtonian blood flow through an artery

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.

Automated summary

The purpose of this study is to analytically solve the convective diffusion equation by considering appropriate boundary conditions and using the Taylor-Aris method to determine various parameters related to solute dispersion in blood flow. The study found that body acceleration and yield stress associated with Casson fluid impact the blood velocity and the process of dispersing the solute, with factors such as amplitude, lead angle, yield stress, pressure gradient, and Peclet number affecting the blood velocity and solute dispersion process. Additionally, it was noted that the blood velocity, solute concentration, and axial diffusivities decrease when the amplitude, lead angle, or yield stress increase.