title: 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.
authors.affiliation: Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
authors.forename: Wei-Tao
authors.initials: WT
authors.lastname: Wu
authors.affiliation: Department of Mechanical Engineering, Northeastern University, Boston, MA 02115, USA.
authors.forename: Nadine
authors.initials: N
authors.lastname: Aubry
authors.affiliation: U. S. Department of Energy, National Energy Technology Laboratory (NETL), P.O. Box 10940, Pittsburgh, PA 15236, USA.
authors.forename: Mehrdad
authors.initials: M
authors.lastname: Massoudi
authors.affiliation: Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
authors.forename: Jeongho
authors.initials: J
authors.lastname: Kim
authors.affiliation: Department of Biomedical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
authors.forename: James F
authors.initials: JF
authors.lastname: Antaki
keywords: Blood flow; Channel flow; Mixture theory; Non-linear fluids; Rheology; Two phase flow