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.

中文翻译：

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身体加速度对通过动脉的非牛顿血流中溶质分散的影响

目的

本研究的目的是通过考虑适当的边界条件并使用 Taylor-Aris 方法确定溶质浓度、有效和​​相对轴向扩散率来解析对流扩散方程。

设计/方法/方法

> 已经对身体加速度如何影响动脉内血流中溶质的扩散进行了分析，该血流被称为宾汉流体。为了在验证目标边界条件的同时解析地求解微分方程组，获得血液速度。

发现

血流速度受到身体加速度的影响，以及与卡森流体相关的屈服应力，因此分散溶质的过程会分散注意力。它以图形方式说明了血流速度和溶质扩散过程如何受各种因素的影响，包括身体加速度的幅度和超前角、屈服应力、压力梯度和佩克莱特数。

原创性/价值

可以看到，当振幅、导程角或屈服应力中的任何一个上升时，血流速度、溶质浓度以及有效和相对轴向扩散率都会下降。