The flow of blood in tubes: theory and experiment

Yeleswarapu, Krishna K.; Kameneva, Marina V.; Rajagopal, Keshava; Antaki, James F.

doi:10.1016/s0093-6413(98)00036-6

Cited by 139 publications

(68 citation statements)

References 7 publications

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“…The empirical three constant generalised Oldroyd -B model studied in [149] belongs to this class. It has been obtained by fitting experimental data in one dimensional flows and generalising such curve fits to three dimensions.…”

Section: Viscoelasticity and Thixotropy Of Bloodmentioning

confidence: 99%

Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

161

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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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Section: Viscoelasticity and Thixotropy Of Bloodmentioning

confidence: 99%

Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

161

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“…Yeleswarapu et al [11] have showed that these characteristics can be described quite well with a generalized Oldroyd-B fluid model. Previous authors performed CFD simulations of blood flow assuming a Newtonian-fluid behavior [3][4][5][8][9][10].…”

Section: Hemolysis Calculation and Estimationmentioning

confidence: 90%

Numerical Study of Turbulence Models in the Computation of Blood Flow in Cannulas

Salazar

́rzano

Antaki

2008

Volume 1: Symposia, Parts a and B

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In recent years, CFD has become an increasingly used tool in the design of blood-based devices. However, the estimation of red blood cells damage (hemolysis) remains a very important challenge due to the complex rheology of blood and the turbulence present in most pumping devices. The objective of this study was to identify an appropriate turbulence model suitable for predicting hemolysis in Hemodialysis cannula. Several modern turbulence models were evaluated in comparison to Direct Numerical Simulation (DNS), which was used as the gold standard. The fluid dynamics in the cannula was modeled as a coaxial jet in which Reynolds' number approached 2800. Based on comparison of velocity and stress time-averaged profiles, the Shear Stress Transport (SST) model with Gamma-Theta transition was identified as an optimal compromise between accuracy and computational cost. NOMECLATURE

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“…Among the few examples of realistic viscoelastic constitutive models for blood that have been developed we here cite those of Yeleswarapu [34,35] and of Anand and Rajagopal [1], the latter model being developed within the general thermodynamic framework established in [21]. Anand and Rajagopal's model gave good agreement with the experimental results of Thurston [28] in both steady and oscillatory blood ow in straight tubes and comparison was also made with the Yeleswarapu model.…”

Section: Introductionmentioning

confidence: 90%