A numerical study of blood flow using mixture theory

Abstract

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.

Heat Transfer in a Drilling Fluid with Geothermal Applications

“…With no rotation, the volume fraction distribution is symmetric along the A-A plane. The particles tend to accumulate near the center line, also see Figure 8a; this agrees with the results predicted by the multicomponent model of [79,80]. As increases, the particles tend to migrate in the direction of the angular speed of the inner cylinder; furthermore, we also notice that the high concentration of the solid particles in the narrow gap gradually begins to become more uniform, see Figure 8a as well.…”

Numerical Simulation of Red Blood Cell-Induced Platelet Transport in Saccular Aneurysms

“…The second coefficient of the plasma viscosity disappears automatically because we consider the plasma to be incompressible. (See [21,28] for more details).…”

“…The effect of flow rate (Reynolds number) is illustrated in Figure 10 (at τ = 5000) in the bulbous and bulging saccular aneurysms. When the Reynolds number increases, the platelets concentration near the wall of the upstream vessel increases, which is known to be attributed to the transport of RBCs towards the core [21]. As a result, the near-wall enrichment layer of platelets flows into the aneurysm.…”

“…Therefore, in the present study, a continuum multicomponent model is applied. The multicomponent model was previously developed by our group [21,22], in which the flow of the plasma and RBCs are modeled by mixture theory and the platelets transport is modeled by a convection-diffusion equation. The advantage of this continuum approach is its economical computational cost compared with the mesoscale simulations; therefore, it can be potentially applied to very large-scale problems with complex geometries.…”

Modelagem matemática da fluidodinâmica não-newtoniana e bifásica simplificada da hemólise induzida mecanicamente em sistemas de bombeamento centrífugo de sangue

“…Com o intuito de se manter uma simbologia internacional uniforme e assim evitar possíveis confusões em comunicações científicas, neste trabalho é adotado o símbolo para designar o diâmetro hidráulico 12 da partícula em estudo (hemácia), conforme o padrão apresentado em trabalhos anteriores de outros pesquisadores (Massoudi e Antaki, 2008), (Wu et al, 2014), (Wu et al, 2017).…”