Pulsatile flow of non-Newtonian fluids through arterial stenoses

Tu, Cheng; Deville, Michel

doi:10.1016/0021-9290(95)00151-4

Cited by 224 publications

(102 citation statements)

References 26 publications

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“…This was consistent with the flow simulation study in the human aorta by Liu et al [46]. When compared with the Newtonian model, the flow reattachment point for the non-Newtonian model moved upstream towards the stenosis throat, which was in agreement with the predictions by others [47].…”

Section: Discussionsupporting

confidence: 91%

Nitric oxide transport in an axisymmetric stenosis

Liu

Fan

et al. 2012

J. R. Soc. Interface.

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To test the hypothesis that disturbed flow can impede the transport of nitric oxide (NO) in the artery and hence induce atherogenesis, we used a lumen -wall model of an idealized arterial stenosis with NO produced at the blood vessel -wall interface to study the transport of NO in the stenosis. Blood flows in the lumen and through the arterial wall were simulated by Navier -Stokes equations and Darcy's Law, respectively. Meanwhile, the transport of NO in the lumen and the transport of NO within the arterial wall were modelled by advection -diffusion reaction equations. Coupling of fluid dynamics at the endothelium was achieved by the Kedem -Katchalsky equations. The results showed that both the hydraulic conductivity of the endothelium and the non-Newtonian viscous behaviour of blood had little effect on the distribution of NO. However, the blood flow rate, stenosis severity, red blood cells (RBCs), RBC-free layer and NO production rate at the blood vessel -wall interface could significantly affect the transport of NO. The theoretical study revealed that the transport of NO was significantly hindered in the disturbed flow region distal to the stenosis. The reduced NO concentration in the disturbed flow region might play an important role in the localized genesis and development of atherosclerosis.

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Section: Discussionsupporting

confidence: 91%

Nitric oxide transport in an axisymmetric stenosis

Liu

Fan

et al. 2012

J. R. Soc. Interface.

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“…Some studies found non-Newtonian rheology important (Rodkiewicz et al, 1990;Tu and Deville, 1996;Gijsen et al, 1999), while others found that it is relatively unimportant (Perktold et al, 1989;Ballyk et al, 1994), in determining flow patterns in large arteries. The paper of Ballyk et al (Ballyk et al, 1994) contains a good discussion of possible reasons for this discrepancy, particularly in light of their definition of the non-Newtonian importance factor.…”

Section: Introductionmentioning

confidence: 99%

Non-Newtonian blood flow in human right coronary arteries: steady state simulations

Johnston

Corney

et al. 2004

Journal of Biomechanics

509

321

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This study looks at pulsatile blood flow through four different right coronary arteries, which have been reconstructed from bi-plane angiograms. A non-Newtonian blood model (the Generalised Power Law), as well as the usual Newtonian model of blood viscosity, is used to study the wall shear stress in each of these arteries over the entire cardiac cycle. The difference between Newtonian and non-Newtonian blood models is also studied over the whole cardiac cycle using the recently generalised global non-Newtonian importance factor. In addition, the flow is studied by considering paths of massless particles introduced into the flow field.The study shows that, when studying the wall shear stress distribution for transient blood flow in arteries, the use of a Newtonian blood model is a reasonably good approximation. However, to study the flow within the artery in greater detail, a non-Newtonian model is more appropriate.

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“…Bennett [1] has observed that the presence of wall slip at the flow boundaries decreases the apparent (effective) viscosity. Tu and Deville [2] observed the blood flow in diseased conditions. Mathematical models for blood flow through stenosed arterial segment, by taking a velocity slip condition at the constricted wall were developed [3] [4].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Analysis on Pulsatile Flow through a Catheterized Stenosed Artery

Siddiqui¹,

Awasthi²

2017

JAMP

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In this paper, the pulsatile flow of blood through an inclined catheterized stenosed artery is analyzed. Perturbation method is used to solve the implicit system of partial differential equations with suitable boundary conditions. Various analytical expressions axial velocity, flow rate, wall shear stress and effective viscosity have been derived with the help of MATLAB for understanding the fluid flow phenomena. The combined effect of catheterization, body acceleration, slip and inclination has been seen by plotting the graph and observed that axial velocity and flow rate increases with the increase in body acceleration, inclination angle and slip velocity while axial velocity diminishes on increasing the catheter radius. Wall shear stress increases with the increase in catheter radius and body acceleration but presence of slip velocity reduces the wall shear stress. Effective viscosity diminishes on increasing body acceleration and inclination angle, whereas slightly augmented in non-inclined stenosed artery.

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Pulsatile flow of non-Newtonian fluids through arterial stenoses

Cited by 224 publications

References 26 publications

Nitric oxide transport in an axisymmetric stenosis

Nitric oxide transport in an axisymmetric stenosis

Non-Newtonian blood flow in human right coronary arteries: steady state simulations

Mathematical Analysis on Pulsatile Flow through a Catheterized Stenosed Artery

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