A mathematical model for the axial migration of suspended particles in tube flow

Lih, Marshall M.

doi:10.1007/bf02478214

Cited by 15 publications

(3 citation statements)

References 10 publications

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“…3a shows the volume fraction distribution of the RBCs for different values of the Reynolds number Re . It can be seen that an increase of the Reynolds number accentuates the depletion phenomenon near the wall, which is consistent experimental observations of Lih (1969). Figs.…”

Section: Parametric Study: Flow Of Blood In a Rectangular Channelsupporting

confidence: 90%

A numerical study of blood flow using mixture theory

Aubry

Massoudi

et al. 2014

International Journal of Engineering Science

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In this paper, we consider the two dimensional flow of blood in a rectangular microfluidic channel. We use Mixture Theory to treat this problem as a two-component system: One component is the red blood cells (RBCs) modeled as a generalized Reiner–Rivlin type fluid, which considers the effects of volume fraction (hematocrit) and influence of shear rate upon viscosity. The other component, plasma, is assumed to behave as a linear viscous fluid. A CFD solver based on OpenFOAM® was developed and employed to simulate a specific problem, namely blood flow in a two dimensional micro-channel, is studied. Finally to better understand this two-component flow system and the effects of the different parameters, the equations are made dimensionless and a parametric study is performed.

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Section: Parametric Study: Flow Of Blood In a Rectangular Channelsupporting

confidence: 90%

A numerical study of blood flow using mixture theory

Aubry

Massoudi

et al. 2014

International Journal of Engineering Science

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“…Increasing Re causes a non-uniform distribution of the volume fraction, as observed experimentally by Lih (Lih 1969). …”

Section: Numerical Results and Discussionsupporting

confidence: 57%

Modeling and numerical simulation of blood flow using the theory of interacting continua

Massoudi

Kim

Antaki

2012

International Journal of Non-Linear Mechanics

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In this paper we use a modified form of the mixture theory developed by Massoudi and Rajagopal to study the blood flow in a simple geometry, namely flow between two plates. The blood is assumed to behave as a two-component mixture comprised of plasma and red blood cells (RBCs). The plasma is assumed to behave as a viscous fluid whereas the RBCs are given a granular-like structure where the viscosity also depends on the shear-rate.

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“…where H T , is the tube hematocrit in the microvessel caused by the Fahraeus effect. The RBC concentration, i.e., the local H ct value, was modelled using the Lih [27] model distribution, fitted for each case, as shown in Equation (8):…”

Section: Cfd Simulationsmentioning

confidence: 99%

Experimental and Numerical Study of Blood Flow in μ-vessels: Influence of the Fahraeus–Lindqvist Effect

Stergiou

Keramydas

Anastasiou

et al. 2019

Fluids

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The study of hemodynamics is particularly important in medicine and biomedical engineering as it is crucial for the design of new implantable devices and for understanding the mechanism of various diseases related to blood flow. In this study, we experimentally identify the cell free layer (CFL) width, which is the result of the Fahraeus–Lindqvist effect, as well as the axial velocity distribution of blood flow in microvessels. The CFL extent was determined using microscopic photography, while the blood velocity was measured by micro-particle image velocimetry (μ-PIV). Based on the experimental results, we formulated a correlation for the prediction of the CFL width in small caliber (D < 300 μm) vessels as a function of a modified Reynolds number (Re∞) and the hematocrit (Hct). This correlation along with the lateral distribution of blood viscosity were used as input to a “two-regions” computational model. The reliability of the code was checked by comparing the experimentally obtained axial velocity profiles with those calculated by the computational fluid dynamics (CFD) simulations. We propose a methodology for calculating the friction loses during blood flow in μ-vessels, where the Fahraeus–Lindqvist effect plays a prominent role, and show that the pressure drop may be overestimated by 80% to 150% if the CFL is neglected.

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A mathematical model for the axial migration of suspended particles in tube flow

Cited by 15 publications

References 10 publications

A numerical study of blood flow using mixture theory

A numerical study of blood flow using mixture theory

Modeling and numerical simulation of blood flow using the theory of interacting continua

Experimental and Numerical Study of Blood Flow in μ-vessels: Influence of the Fahraeus–Lindqvist Effect

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