Modeling and numerical simulation of blood flow using the Theory of Interacting Continua.
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A modified form of the mixture theory developed by Massoudi and Rajagopal is used to study the blood flow in a simple geometry, namely flow between two plates.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.read more
Citations
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Journal ArticleDOI
A numerical study of blood flow using mixture theory
TL;DR: A CFD solver based on OpenFOAM® was developed and employed to simulate a specific problem, namely blood flow in a two dimensional micro-channel, and a parametric study is performed to better understand this two-component flow system.
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Study of blood flow in several benchmark micro-channels using a two-fluid approach.
TL;DR: A computational fluid dynamic simulation incorporating the constitutive model was implemented using OpenFOAM® in which benchmark problems including a sudden expansion and various driven slots and crevices were studied numerically, and the numerical results exhibited good agreement with the experimental observations.
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Continuum modeling of hydrodynamic particle-particle interactions in microfluidic high-concentration suspensions.
TL;DR: A continuum model is established for numerical studies of hydrodynamic particle-particle interactions in microfluidic high-concentration suspensions and shows that at these high particle concentrations, particle-induced flow rolls occur and can lead to significant deviations of the advective particle transport relative to that of dilute suspensions.
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Transport of platelets induced by red blood cells based on mixture theory
TL;DR: In this article, a multiconnection continuum approach was developed to study the influence of the RBCs field on the platelets in vivo and in vitro, and the model was used to study blood flow in a rectangular microchannel, a sudden expansion micro-channel, and a channel containing micro crevices.
Journal ArticleDOI
On the coefficients of the interaction forces in a two-phase flow of a fluid infused with particles
TL;DR: In this article, the authors used the classical mixture theory approach whereby constitutive relations are proposed for the stress tensor of each phase, and the effect of different hindrance functions for the drag force is studied; moreover a generalized form of the expression for the coefficients of the interactions forces, also known as the hindrance function, is suggested.
References
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Biomechanics: Mechanical Properties of Living Tissues
Yuan-Cheng Fung,Richard Skalak +1 more
TL;DR: This chapter discusses the mechanics of Erythrocytes, Leukocytes, and Other Cells, and their role in Bone and Cartilage, and the properties of Bioviscoelastic Fluids, which are a by-product of these cells.
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Bubbles, Drops, and Particles
TL;DR: In this paper, the authors evaluated the applicability of the standard κ-ϵ equations and other turbulence models with respect to their applicability in swirling, recirculating flows.
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Biomechanics: Mechanical Properties of Living Tissues
Yuan-Cheng Fung,Richard Skalak +1 more
TL;DR: In this article, the authors present a sketch of the history and scope of the field of bio-physiology and discuss the meaning of the Constitutive Equation and the flow properties of blood.
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Multiphase Flow And Fluidization: Continuum And Kinetic Theory Descriptions
TL;DR: In this article, the origin of Bubbles is discussed, and the theory of Granular Mixtures is presented, along with the application of Kinetic Theory in the field of Continuum Problems.