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

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.

Long-term recovery behavior of brain tissue in hydrocephalus patients after shunting

“…The Navier-Stokes and solid equations are given by Eqs. ( 3) and ( 4), respectively 17,43,48,82,83 . It should be noted that the first node of elements is defined as the reference point for software calculations [84][85][86] .…”

The impact of strut profile geometry and malapposition on the haemodynamics and drug-transport behaviour of arteries treated with drug-eluting stents

“…Blood was modelled with uniform density, r = 1060 kg/m 3 , and laminar flow conditions were assumed due to the low Reynolds numbersless than 1300 (Yamamoto et al, 2004) in the renal vasculature. Numerical studies have shown that factors including the non-Newtonian properties of blood and body accelerations can affect solute dispersion in blood flow (Saadun et al, 2021); non-Newtonian properties have also been shown to be essential when modelling targeted delivery of therapeutic agents (Tiam Kapen et al, 2022). Nonetheless, a constant viscosity of m = 0.00345 Pa•s, based on blood's lowest viscosity limit, was ascribed to the blood for three main reasons: it yields more exaggerated flow disturbances than non-Newtonian blood rheological models (Vijayaratnam et al, 2015); the wall shear stress thresholds used in the present study were originally obtained (Chen et al, 2015;LaDisa et al, 2004), and; the choice of blood rheological model has negligible impact on the drug transport behaviour in the context of stented arteries (Vijayaratnam et al, 2015(Vijayaratnam et al, , 2019.…”

Guest editorial

“…After comprehensive peer review, only one third papers qualified for acceptance for final publication. This special issue comprises the theoretical and experimental research articles that elucidate the research efforts and recent developments on “New Trends in Heat and Fluid Flow: Applications and Recent Developments.” This issue consists of (Agrawal et al , 2021; Akbari et al , 2021; Alanazi et al , 2021; Alkanhal, 2021; Chang et al , 2021; Chen et al , 2021; Dehghan et al , 2021; Hayat et al , 2021; Riaz et al , 2021; Saadun et al , 2021; Safdari Shadloo, 2020; Selimefendigil and Öztop, 2021; Ullah et al , 2021; Xing et al , 2021; Yilmaz, 2021; Youjun et al , 2020; Zaher et al , 2021; Zhang et al , 2020) accepted papers related to fluid dynamics; heat exchangers; heat transfer enhancement; heat and mass transfer in thermal energy; heat and mass transfer in porous media; heat transfer phenomena in biological systems; nanofluids; two-phase/multiphase flows; Newtonian and non-Newtonian fluids; thermodynamics; and numerical simulations and methods. The presented results are discussed with an adequate physical interpretation.…”