A review on the rheology of blood and blood vessel has been given, stress being placed on the author's research area. Subjects selected are : 1. Non-Newtonian viscosity of blood, 2. Casson's equation, 3. Cause of non-Newtonian viscosity of blood, 4. Influence of plasmatic zone on apparent viscosity of blood, 5. Cause of appearance of plasmatic zone, 6. Sigma phenomenon, 7. Wall effect on apparent viscosity of blood, 8. Flow of liquid through a tapered tube, 9. Tension in blood vessel walls.
General formulae have been given for the flow and velocity distribution of a non-Newtonian liquid specified by an arbitrary flow curve f (τ) through a slightly tapered tube. These formulae are quite similar in form to those for the flow of a non-Newtonian liquid through a cylindrical tube.
A general theory of the tension in thick-walled blood vessels has been developed. The circumferential tension was expressed as a function of the internal and external. pressures and the internal and external radii of a blood vessel. The expression for the circumferential tension is reduced to the law of Laplace in the limit of infinitely thin wall. However, it has been found that the law of Laplace does not apply to thick-walled blood vessels. The circumferential tension may become even negative, depending upon the thickness ratio and the pressure ratio. Burton's theory of the circumferential tension in thick-walled blood vessels was criticized. It is really a question to introduce the concept of “pressure” in the interior of an elastic body as in his theory. It is shown that the circumferential tension which may be deduced from his theory does not agree with our general formula. Approximate formulae for the circumferential tension and the stress in the wall have been given, these quantities being expressed in terms of measurable quantities. A general theory of longitudinal tension has also been developed.
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