A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels

Lin Xie-xian

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Lin Xie-xian. A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels[J]. Applied Mathematics and Mechanics, 1982, 3(6): 835-841.

Citation:

Lin Xie-xian. A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels[J]. Applied Mathematics and Mechanics, 1982, 3(6): 835-841.

Citation:

Lin Xie-xian. A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels[J]. Applied Mathematics and Mechanics, 1982, 3(6): 835-841.

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A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels

Lin Xie-xian

Northwestern Polytechnical University

Received Date: 1982-05-19
Publish Date: 1982-12-15

Abstract

Abstract

The calculative method presented in this paper is based on an improvement of boundary conditions for a micro-continuum fluid model with blood flow assuming that the blood cell velocity at blood vessel wall is unequal to zero.As for steady state flood flow equation (flow in vitre-a rigid circular tube) presented by Eringen, the magnitude of the blood cell gyroscopic velocity at blood vessel wall and the slope of the blood cell gyroscopic velocity distribution curve at the axis of the blood vessel are assumed. From the above-mentioned assumptions the calculating method of velocity distribution curve in blood vessel is derived. The curve calculated by this method is compared with the test curve measured by Bugliarello and Hayden.Tho results obtained by Turk, Sylvester and Ariman as well as with this method are compared with each other, too.

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References(6)

References

[1]	Fung,Y.C.,A survey of the blood flow problem,Advances in Applied Mechanics,Ⅱ,(1971),65-118.
[2]	Cokelet,G.R.,The theology of human blood,Biomechanics; Its Foundations and Objectives,Y.C.Fung,N.Perrone and M.Anliker(eds.) Prentice-Hall,New Jersey,(1972),63-104.
[3]	Eringen,A.C.,Simple micro-fluids,Int.J.Engng.Sci.1,2,(1964),205-217.
[4]	Eringen,A.C.,Theory of micro-polar fluids.J.Math.Mech.16,(1966),1-18.
[5]	Turk,M.A.N.D.Sylvester,and T.Ariamn,An analysis of blood flow,Development in Theoretical and Applied Mechanics,6,(1972),3.24.
[6]	Bugliarello,G.and J.W.Hayden,High-speed micro-cinematographic studies of blood flow in vitro,Science,138,(1962),981-983.