Blood flow in capillaries by using porous media model

Abstract

The blood and tissue liquid flow are studied by microcirculation method or porous flow model. The blood flow in capillaries is studied by used the porous media flow model in this paper. The advantage of the model is to research the whole flow characteristics, and it can be used to study the blood flow in animal viscera. By used the Casson constitutive model, the differential equation of blood flow in capillaries is derived, and the characteristics of steady flow and transient flow are solved by numerical method. The result shows that the more threshold stress is, the bigger flow resistance is, and the flow is different from the newtonian fluid flow. This method is a new useful approach to study the biological fluid mechanics.

Keywords

blood flow / porous media / blood capillary / microcirculation / biological mechanics

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