Abstract
The problem of theoretical investigation of the blood flow in small caliber blood vessels is a difficult one since the number of red blood cells occupying the cross-section of such a blood vessel is too small to treat the blood as a continuous fluid medium, and is too large to account for the motion of all individual particles. Consequently, it is necessary that a study of methodology providing an approach to the physics of the problem at hand precede the analysis. In order to provide a theoretical basis of the mechanics of blood flow in small blood vessels, such as the velocity profile, and the pressure-flow relationship, a mathematical model of the problem is presented and studied based on an arithmetical approach. The characteristics of the flow exhibited by the highly idealized model of the flow employed in this study are qualitatively similar to that of the blood flow in many respects.
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