A 3D non-Newtonian fluid–structure interaction model for blood flow in arteries

Janela, João; Moura, Alexandra; Sequeira, Adélia

doi:10.1016/j.cam.2010.01.032

Cited by 86 publications

(70 citation statements)

References 13 publications

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“…where   , , , , The ALE technique is employed for the solution of the weak formula (18)(19)(20)(21)(22) which are constructed on the Lagrangian frame, but are solved on the Eulerian frame or spatially fixed system. Thus, computation is conducted by a transformation between two coordinate systems.…”

Section: The Ale Finite Volume Formulation For the Turbulence Fluid Flowmentioning

confidence: 99%

“…The results of velocity profile, vortex length, wall shear stress, wall static pressure, and turbulence intensity were compared with experimental measurements. Recently, the fluidstructure interaction (FSI) approach has been adopted to depict the flow of blood in a hyper-elastic vessel [12,18,19]. However, none of the existing models seems to be completely satisfactory for all kinds of flow regimens, and the turbulent effect on non-Newtonian behaviour of blood flow have still not been investigated in combination with the deformable vessel structure.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of Turbulent Blood Flow in the System of Coronary Arteries with Stenosis

Kaewbumrung¹,

Wiwatanapataphee²,

Orankitjaroen³

et al. 2017

J Biom Biostat

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In this paper, we propose a mathematical model of turbulence flow of fluid through a deformable channel to study the pulsatile blood flow in the coronary system with arterial stenosis. Blood is assumed to be an incompressible nonNewtonian fluid and its motion is considered as turbulent and modelled by the mass and momentum conservations with turbulent mixing energy and specific dissipation rate. The mechanical deformation of the arterial wall is modelled by a hyperelastic differential equation. The pulsatile behaviour during each heartbeat is assigned on the entrance and exit boundaries. Numerical simulation based on the Finite Element method for the solution of arterial wall deformation, and the Arbitrary Lagrangian Eulerian Finite Volume method for the turbulence fluid-flow solution is used to investigate the effect of stenosis severity at the proximal part of the left anterior descending artery on the blood velocity, the pressure distribution and the wall shear stresses along the flow direction.

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Section: The Ale Finite Volume Formulation For the Turbulence Fluid Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Turbulent Blood Flow in the System of Coronary Arteries with Stenosis

Kaewbumrung¹,

Wiwatanapataphee²,

Orankitjaroen³

et al. 2017

J Biom Biostat

View full text Add to dashboard Cite

show abstract

“…The results showed that the pressure wave is quite well absorbed by the one-dimensional model. Janela et al [46] stated that as the flow is driven by a pressure pulse generated by a constant pressure, the vessel inflates initially near the inflow boundary. The motion propagates along the vessel until it reaches the outflow section and is reflected back.…”

Section: Geometrical Multiscale Approachmentioning

confidence: 99%

“…Both Formaggia et al [32] and Janela et al [46,47] mentioned that the homogenous boundary condition will lead to energy decay property. Standard homogenous boundary condition introduces the spurious reflections of the pressure wave which will cause the structure to continue oscillating.…”

Section: Geometrical Multiscale Approachmentioning

confidence: 99%

Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow

Tang

Amin

2014

Abstract and Applied Analysis

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Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realistic representation of the vessel walls compared to the rigid structure are presented. Since there exists a strong added mass effect due to the comparable densities of blood and the vessel wall, the numerical approaches to overcome the added mass effect are discussed according to the partitioned and monolithic classifications, where the deficiencies of each approach are highlighted. Improved numerical methods which are more stable and offer less computational cost such as the semi-implicit, kinematic splitting, and the geometrical multiscale approach are summarized, and, finally, an appropriate structure and numerical scheme to tackle fluid structure interaction problems are proposed.

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“…In more important medical applications, bubbles are used for the delivery of drugs [2][3][4], cancer treatment [5][6][7], and in the barrier opening of clogged veins and arteries [8,9]. In all of these cases, bubbles should move and grow in the blood stream and collapse in the intended location.…”

Section: Introductionmentioning

confidence: 99%

Chaotic behavior of gas bubble in non-Newtonian fluid: a numerical study

et al. 2013

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In the present paper, the nonlinear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. Due to the importance of the bubble in the medical applications such as drug, protein or gene delivery, blood is assumed to be the reference fluid. Effects of viscoelasticity term, Deborah number, amplitude and frequency of the acoustic pulse are studied. We have studied the dynamic behavior of the radial response of bubble using Lyapunov exponent spectra, bifurcation diagrams, time series and phase diagram. A period-doubling bifurcation structure is predicted to occur for certain values of the effects of parameters. The results show that by increasing the elasticity of the fluid, the growth phenomenon will be unstable. On the other hand, when the frequency of the external pulse increases the bubble growth experiences more stable condition. It is shown that the results are in good agreement with the previous studies.

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A 3D non-Newtonian fluid–structure interaction model for blood flow in arteries

Cited by 86 publications

References 13 publications

Numerical Simulation of Turbulent Blood Flow in the System of Coronary Arteries with Stenosis

Numerical Simulation of Turbulent Blood Flow in the System of Coronary Arteries with Stenosis

Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow

Chaotic behavior of gas bubble in non-Newtonian fluid: a numerical study

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