B211 円管内流動場における血液中の赤血球濃度分布

概要

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The distributions of velocity and red cell concentration in blood flowing at low rates through a tube are calculated. The blood is regarded as a two-components continuum consisting of red blood cells and plasma and is assumed to behave as a non-Newtonian fluid whose apparent viscosity is expressed by Quemada's equation. To calculate a red cell distribution across the tube cross-section, a kinetic model for flux of dispersed particles proposed by Phillips et al. is used. The momentum equation for the blood and the diffusion equation for red cells are simultaneously solved. It is shown that the concentration of red cells has a maximum value at the tube axis and decreases with increasing the distance from the tube axis. It is also shown that the shape of velocity profiles in the region near the center of the tube is flat. This prediction is in good quantitative agreement with experimental results.
日本流体力学会の論文
2000-07-25