Skip to main content
Log in

A calculation method for blood flow velocity distribution in smallep elocd vessels

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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. The results obtained by Turk, Sylvester and Ariman as well as with this method are compared with each other, too.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fung, Y. C.,A survey of the blood flow problem, Advances in Applied Mechanics, II, (1971), 65–118.

    Google Scholar 

  2. Cokelet, G.R.,The rheology of human blood, Biomechanics; Its Foundations and Objectives, Y. C. Fung, N. Perrone and M. Anliker (eds.) Prentice-Hall, New Jersey, (1972), 63–104.

    Google Scholar 

  3. Eringen, A.C.,Simple micro-fluids, Int. J. Engng. Sci. 1, 2, (1964), 205–217.

    Google Scholar 

  4. Eringen, A.C.,Theory of micro-polar fluids, J. Math. Mech. 16, (1966), 1–18.

    Google Scholar 

  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.

    Google Scholar 

  6. Bugliarello, G. and J.W. Hayden,High-speed micro-cinematographic studies of blood flow in vitro, Science, 138, (1962), 981–983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chien Wei-zang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xie-xian, L. A calculation method for blood flow velocity distribution in smallep elocd vessels. Appl Math Mech 3, 905–914 (1982). https://doi.org/10.1007/BF01895346

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01895346

Keywords

Navigation