Micromorphic Modeling of Two-Layer blood flow through small arteries
Date Issued
2009
Date
2009
Author(s)
Wu, Meng-Chien
Abstract
This study focused on the blood flow in small-scale problems (diameter between 40μm ~ 500μm), consider the stratification, the red blood cells (RBCs) distribution and the deformability of RBCs. Two-layer fluid model to the theoretical analysis of the peripheral layer for the Newtonian fluid, the inner layer for the micromorphic fluid. We derive the velocity field, microrotate field, the volume flow rate and the wall shear stress. Simulation results in line with the effect of the F effects and the F-L effects. Finally, an extension of the theory applies to: (1) Analysis of the problem with the stenosis blood vessels (2) The modification of Murray''s law.or the problem of stratification thickness, this study established the theorical relation between RBCs concentration distribution and the location of interface, which is between the peripheral layer and the core region. We reducing the number of independent variables in this theory by considering the thickness of peripheral layer is a dependent variable, thereby increasing the possibility of application of this theory.n the numerical simulation, we will use seven micromorphic fluid’s viscosity coefficients given by Ligia et al. [2006]. By inverse methods to obtain the optimal parameter β1.n further applications：First, we not only calculated the stenosis of coronary vascular resistance and wall shear stress, but also compared the results of simulation to the blood disease experimental data, the second, we reformulate the Murray’s law by micromorphic blood fluid. The theoretical solution of the issue both have numerical simulation and experimental data cross-referencing.
Subjects
Microcontinnum theory
Micromorphic fluid
Hemodynamics
Blood rheology
Two layered fluid model
Stenosis
Murray’s law.
Type
thesis
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