On the Application of a Constitutive Equation for Whole Human Blood

Rodkiewicz, C. M.; Sinha, Prawal; Kennedy, J. S.

doi:10.1115/1.2891172

Cited by 53 publications

(31 citation statements)

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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

564

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%

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

Johnston

Corney

et al. 2004

Journal of Biomechanics

564

349

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show abstract

“…Several researchers indicated that the non-Newtonian behavior of the blood in great vessels has little influence on the local flow characteristics [6][7][8]. Nevertheless, other researchers [9][10][11] insist that it is of significant influence. In a word, the blood rheology has strong impact on the hemodynamics, and it is necessary to describe blood flow by proper non-Newtonian model.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

Chen

Zhou

2013

Advances in Mechanical Engineering

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Blood is in fact a suspension of different cells with yield stress, shear thinning, and viscoelastic properties, which can be represented by different non-Newtonian models. Taking Casson fluid as an example, an unsteady solver on unstructured grid for nonNewtonian fluid is developed to simulate transient blood flow in complex flow region. In this paper, a steady solver for Newtonian fluid is firstly developed with the discretization of convective flux, diffusion flux, and source term on unstructured grid. For the non-Newtonian characteristics of blood, the Casson fluid is approximated by the Papanastasiou's model and treated as Newtonian fluid with variable viscosity. Then considering the transient property of blood flow, an unsteady non-Newtonian solver based on unstructured grid is developed by introducing the temporal term by first-order upwind difference scheme. Using the proposed solver, the blood flows in carotid bifurcation of hypertensive patients and healthy people are simulated. The result shows that the possibility of the genesis and development of atherosclerosis is increased, because of the increase in incoming flow shock and backflow areas of the hypertensive patients, whose WSS was 20∼87.1% lower in outer vascular wall near the bifurcation than that of the normal persons and 3.7∼5.5% lower in inner vascular wall downstream the bifurcation.

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“…Blood is non-Newtonian [12], [13] because of red blood cells. Investigation shows that at shear stress < 10 s -1 non-Newtonian behavior of blood becomes dominant.…”

Section: B Governing Equations and Boundary Conditionsmentioning

confidence: 99%

Three Dimensional Analysis of the Blood Flow Regime within Abdominal Aortic Aneurysm

Azam¹,

Salam²

2011

IJET

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Abstract-Abdominal aortic aneurysm (AAA) is a degenerative disease, which is defined as the abnormal ballooning of the abdominal aorta (AA) wall usually caused by atherosclerosis. In the present work, finite-volume method for the numerical prediction of non-Newtonian blood flow patterns in AA is performed in the 3D model of AA with aneurysm along with its peripheral branches for systolic and diastolic cardiac phase. Grid independence was tested on three successively refined meshes. It is observed that the abrupt expansion induced by AAA results in an immensely disturbed regime, whereas aneurismal sac is characterized with a multiple vortices and reverse flow in both phases. However, in diastolic phase vortices and reverse flow is more random, and frequent in contrast to systolic phases but with lower kinetic energy. Immense pressure buildup between the renal and iliac bifurcation of AA is observed, that results in a velocity drop across aneurismal sac and unsteady flow at the iliac bifurcation which induces additional stress across the aneurysm. It believes that the pressure gradient is highly responsible for velocity drop, formation of emboli, and continued dilation of aneurismal sac that may result in the obstruction of a blood vessel leading towards rupture of the aneurysm.Index Terms-Abdominal aortic aneurysm, Bio-fluid,CFD simulations, Laminar flow, Non-newtonian blood.

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On the Application of a Constitutive Equation for Whole Human Blood

Cited by 53 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

Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

Three Dimensional Analysis of the Blood Flow Regime within Abdominal Aortic Aneurysm

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