## Abstract

The particulate nature of blood is usually ignored in the analysis of mass transfer in the cardiovascular system ; see for example, reviews by Middleman (1972), Lightfoot (1974) and Fletcher (1978). However, both the flow field and mass transfer rates may be modified significantly by micro-rotation of the red blood cells responsible for the facilitated oxygen transport to the tissue. The exact analysis of mass transfer in the cardiovascular system, taking into account the particulate nature of the blood, is obviously very difficult because of the complex geometry of the red blood cells and the complexity of flow conditions. One promising approach in describing the particulate nature of blood is the microcontinuum approach in which blood is treated as a suspension containing spherical non-deformable particles (red blood cells) whose rotational motion is described through a dynamic kinematical variable, called spin vector. The exact solution of the time dependent uniaxial laminar flows of micropolar fluids are given in a series of papers by Arlman and his colleagues, see for example, Arlman et al.(1974). However, in these studies, a spin boundary condition has to be assumed in order to be able to solve the necessary equations. The axial velocity profile is strongly dependent on this spin boundary condition, but the lack of any definite spin boundary condition, places limitations on the application of polar fluids as a model for the flow of suspensions.

### Keywords

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