Non-Newtonian effects of blood flow in complete coronary and femoral bypasses

Vimmr, Jan; Jonášová, Alena

doi:10.1016/j.matcom.2009.01.004

Cited by 33 publications

(21 citation statements)

References 22 publications

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“…Because both wall parameters are known to be sensitive to any change in the hemodynamics, it is possible to conclude that blood's non-Newtonian behaviour may be neglected in the case of coronary bypasses. This conclusion corresponds to our observations made in our previous study [13], where we dealt with steady non-Newtonian blood flow in idealised bypass models. We are aware that the present study has several limitations.…”

Section: Resultssupporting

confidence: 92%

“…Based on our existing experience with steady non-Newtonian blood flow in idealized bypass models, [13], the main objective of the present study is to model bypass hemodynamics in patient-specific aorto-coronary grafts by considering flow pulsatility and blood's nonNewtonian behaviour. For this purpose, we distinguish two types of bypass grafts -individual and sequential ones.…”

Section: Bypass Models and Problem Formulationmentioning

confidence: 99%

“…In accordance with the studies devoted to the hemodynamics in aorto-coronary bypasses, [17,5,8], we further assume the blood flow to be pulsatile and laminar, neglecting any possibility of turbulent flow in the ascending aorta, which is mainly associated with valve incompetence or artificial heart vales. For the modelling of blood's complex rheological properties, we further introduce the shear-dependent Carreau-Yasuda model, which we have successfully applied in our previous study, [13],…”

Section: Bypass Models and Problem Formulationmentioning

confidence: 99%

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Modelling of Blood’s Non-Newtonian Behaviour in Patient-Specific Aorto-Coronary Bypass Grafts

Vimmr¹,

Jonášová²,

Bublík³

2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. The patency and overall performance of implanted bypass grafts is closely related to hemodynamics and its influence on vessel remodelling. In this regard, numerical investigation of blood flow in models reconstructed from clinical data may, next to clinical research, provide a valuable insight into the problem of graft failures, which are usually associated with restenosis and/or occlusive intimal hyperplasia. In this study, numerical results of pulsatile non-Newtonian blood flow in three realistic aorto-coronary bypass models are presented and further discussed with emphasis placed on the distribution of wall shear stress (WSS) and oscillatory shear index (OSI). Blood's shear-thinning behaviour is described by the CarreauYasuda model. Assuming all model walls to be impermeable and inelastic, the numerical solution of the mathematical model, which has the form of time-dependent non-linear system of Navier-Stokes (NS) equations, is carried out on the basis of the three-stage fractional step method and cell-centred finite volume method formulated for hybrid unstructured tetrahedral grids. The viscous terms of the NS equations are time discretised implicitly using the CrankNicolson scheme. The convective terms are solved explicitly and their computation utilises a local time-stepping technique in order to improve the overall computational efficiency of the developed CFD code.

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Section: Resultssupporting

confidence: 92%

Section: Bypass Models and Problem Formulationmentioning

confidence: 99%

Section: Bypass Models and Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Modelling of Blood’s Non-Newtonian Behaviour in Patient-Specific Aorto-Coronary Bypass Grafts

Vimmr¹,

Jonášová²,

Bublík³

2014

Proceedings of 10th World Congress on Computational Mechanics

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“…As for the outlets an outflow condition is used. Rigid wall conditions were assumed according to the literature (Botara et al 2010) and neglecting the elastic property (Vimmr et al 2010). …”

Section: Boundary Conditionsmentioning

confidence: 99%

A Computational Analysis of Blood Flow through Portal Vein under Normal and Extrahepatic Obstructions

Aktar¹,

Islam²

2018

J Bangladesh Acad Sci

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“…for mass or heat transfer in various solar systems [1], heat exchangers [2], blade machines, fuel cells [3,4] etc. The issue of unsteady phenomena is also reflected in areas, which seem to be distant from engineering practice at first sight, such us blood flow in cardiovascular system [5,6,7,8,9] or air flow in the respiratory system [10].…”

Section: Introductionmentioning

confidence: 99%

Method for the evaluation of minor losses in pulsatile laminar fluid flow

Netřebská

Matěcha

Schmirler

et al. 2014

EPJ Web of Conferences

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Abstract. This article focuses on description and evaluation of the size of the minor losses in pulsatile laminar flow. It describes a method for determination of minor losses with respect to the phase delay between pressure waveforms and flow waveforms. The whole evaluation method is presented on the example of minor loss in the sharp 90° bend in the channel with constant square cross-section in pulsatile laminar flow of an incompressible Newtonian fluid. For this example, the minor loss coefficient is expressed depending on the dimensionless flow parameters. Total minor loss was calculated numerically. An analytical solution was used for quantification of the head loss in the developed laminar flow in the straight channel. Unsteady flow conditions were controlled by the sinusoidal flow.

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Non-Newtonian effects of blood flow in complete coronary and femoral bypasses

Cited by 33 publications

References 22 publications

Modelling of Blood’s Non-Newtonian Behaviour in Patient-Specific Aorto-Coronary Bypass Grafts

Modelling of Blood’s Non-Newtonian Behaviour in Patient-Specific Aorto-Coronary Bypass Grafts

A Computational Analysis of Blood Flow through Portal Vein under Normal and Extrahepatic Obstructions

Method for the evaluation of minor losses in pulsatile laminar fluid flow

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