2012
DOI: 10.1016/j.ijnonlinmec.2011.09.025
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Modeling and numerical simulation of blood flow using the theory of interacting continua

Abstract: 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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Cited by 32 publications
(26 citation statements)
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“…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.…”
Section: Effect Of (Rotational Speed)supporting
confidence: 87%
“…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.…”
Section: Effect Of (Rotational Speed)supporting
confidence: 87%
“…Another factor that may limit cell motion near the wall is a phenomenon referred to lift force [20][21][22]. Because of their deformability, the RBCs modify their shape and direction as they enter the higher shear regions of the flow boundary layer.…”
Section: Discussionmentioning
confidence: 99%
“…(5) and (6), we can see that constitutive relations are needed for the stress tensors and for the interaction force. In the next section we provide a summary of the mixture theory approach suggested by Massoudi et al [11] and also indicate the modifications of the drag and the lift coefficients that we will use in the current study.…”
Section: A Brief Review Of Mixture Theorymentioning
confidence: 99%
“…Plasma behaves like a viscous fluid and for the range of shear rates studied there is no significant deviation from linearity [20,11]. The normal range of plasma viscosity is 1.1-1.3 cP at 37°C and independent of age and gender.…”
Section: The Stress Tensor Of Plasmamentioning
confidence: 99%
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