A lattice Boltzmann approach for the non-Newtonian effect in the blood flow

Wang, Chenhao; Ho, Jeng Rong

doi:10.1016/j.camwa.2011.04.051

Cited by 61 publications

(49 citation statements)

References 11 publications

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“…So it is important to take the bubbles radius motion stable and not permit to collapse until the required region. The research conducted on blood indicates that approximation blood rheology by non-Newtonian models, correlates well with the experimental results [20,21].…”

Section: Introductionsupporting

confidence: 60%

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Behnia

Mobadersani

Yahyavi

et al. 2015

Chaos, Solitons & Fractals

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a b s t r a c tDynamics of acoustically driven bubbles' radial oscillations in viscoelastic fluids are known as complex and uncontrollable phenomenon indicative of highly active nonlinear as well as chaotic behavior. In the present paper, the effect of magnetic fields on the non-linear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. The constitutive equation [Upper-Convective Maxwell (UCM)] was used for modeling the rheological behaviors of the fluid. 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. It was found that the magnetic field parameter (B) can be used for controlling the nonlinear radial oscillations of a spherical, acoustically forced gas bubble in nonlinear viscoelastic media. The relevance and importance of this control method to biomedical ultrasound applications were highlighted. We have studied the dynamic behavior of the radial response of the bubble before and after applying the magnetic field using Lyapunov exponent spectra, bifurcation diagrams and time series. A period-doubling bifurcation structure was predicted to occur for certain values of the parameters effects. Results indicated its strong impact on reducing the chaotic radial oscillations to regular ones.

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Section: Introductionsupporting

confidence: 60%

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Behnia

Mobadersani

Yahyavi

et al. 2015

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

show abstract

“…The index parameter n is dimensionless and describes the non-Newtonian fluid behaviour. When n \ 1, the fluid is shear-thinning [28].…”

Section: Blood Properties: Modelingmentioning

confidence: 99%

“…The consistency index k (kg s n-2 m -1 ) is analogous to the amplitude of viscosity, where higher values of k indicate more viscous fluids [28]. The index parameter n is dimensionless and describes the non-Newtonian fluid behaviour.…”

Section: Blood Properties: Modelingmentioning

confidence: 99%

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Modeling Blood Flow Through Intracranial Aneurysms: A Comparison of Newtonian and Non-Newtonian Viscosity

2016

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The effect of non-Newtonian blood flow on the value of wall shear stress (WSS) of an intracranial aneurysm was investigated using computational fluid dynamics. For cerebral arteries, blood is often assumed to behave as a Newtonian fluid, though the effects of non-Newtonian flow on the prediction of areas of low WSS associated with aneurysm rupture are not clear. Geometry was based on published data and a Newtonian model validated against experimental results. Newtonian, unrestricted non-Newtonian, and viscosity-limited non-Newtonian models were compared under pulsatile conditions. Peak WSS of the Newtonian model was 28.7 Pa, and the lowest value of peak WSS for the unrestricted non-Newtonian models was 16.5 Pa. Viscosity-limited non-Newtonian models predicted flow velocity and WSS similar to those predicted by the Newtonian model in high-shear-rate regions, though maximum areas of critically low WSS were up to 42 % smaller than those predicted by the Newtonian model. In conclusion, viscosity limits are required to prevent excessive thinning of non-Newtonian models and the effects of non-Newtonian viscosity are significant for blood flow within low-shear-rate regions of an intracranial aneurysm.

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“…In all of these cases, bubbles should move and grow in the blood stream and collapse in the intended location. The researches conducted on blood indicate that considering the blood to be a nonNewtonian fluid correlates well with the experimental results and hence, most of the models presented for fluid field analysis assume the blood to be a nonNewtonian fluid [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 55%

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 lattice Boltzmann approach for the non-Newtonian effect in the blood flow

Cited by 61 publications

References 11 publications

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Modeling Blood Flow Through Intracranial Aneurysms: A Comparison of Newtonian and Non-Newtonian Viscosity

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

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