Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1: Steady flows

Cho, Young I.; Kensey, Kenneth R.

doi:10.3233/bir-1991-283-415

Cited by 710 publications

(482 citation statements)

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“…It is well known that blood is a non-Newtonian fluid (Pedley, 1980;Berger and Jou, 2000) and several models have been proposed to predict the stress-strain relationship for blood (Walburn and Schneck, 1976;Cho and Kensey, 1991;Fung, 1993;Ballyk et al, 1994). However, none of these models is generally accepted as a reflection of the true behaviour of the rheology of blood.…”

Section: Introductionmentioning

confidence: 99%

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

Johnston

Corney

et al. 2004

Journal of Biomechanics

568

349

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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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Section: Introductionmentioning

confidence: 99%

“…It is worth noting that the various non-Newtonian blood models are obtained by parameter fitting to experimental viscosity data obtained at certain shear rates under steady state conditions (Walburn and Schneck, 1976;Cho and Kensey, 1991;Fung, 1993;Ballyk et al, 1994).…”

Section: Introductionmentioning

confidence: 99%

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

Johnston

Corney

et al. 2004

Journal of Biomechanics

568

349

View full text Add to dashboard Cite

show abstract

“…Table 1 summarises some of the most common generalised Newtonian models that have been considered in the literature for the shear dependent viscosity of whole human blood. Values for the material constants given in this table were obtained by Cho and Kensey [32] for a compilation of human and canine blood (Ht ranging from 33 -45%), using a nonlinear least squares analysis. Table 1.…”

Section: Viscosity Of Bloodmentioning

confidence: 99%

Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

157

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Abstract. This review is devoted to recent developments in blood flow modelling. It begins with the discussion of blood rheology and its non-Newtonian properties. After that we will present some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we will describe the method of Dissipative Particle Dynamics and will present some results of blood flow modelling. The last part of this paper deals with onedimensional global models of blood circulation. We will explain the main ideas of this approach and will present some examples of its application.

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“…The artery was extended 4D upstream and 16D downstream of the stenosis, respectively [27]. where u l and p l represent, respectively, the fluid velocity vector and the pressure, r the density of blood (r ¼ 1050 kg m 23 ) and t the stress tensor [28] t ¼ 2hð _ gÞS; ð2:4Þ…”

Section: Geometry Of the Modelmentioning

confidence: 99%

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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Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1: Steady flows

Cited by 710 publications

References 0 publications

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

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

Methods of Blood Flow Modelling

Nitric oxide transport in an axisymmetric stenosis

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