Skip to main content
Log in

Boundary layer development of pulsatile blood flow in a tapered vessel

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

Abstract

Assuming that the tapered angle is small, the problems of developing flow under unsteady oscillatory condition are studied in this paper. The formula of velocity distribution is obtained. The analyses for the results show that the blood flow in a converging tapered vessel remains a developing flow throughout the length, and the effects of tapered angle on the developing flow are increased with the increment of the tapered angle.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Slezkin, N. A.,Dynamics of Viscous Incompressible Fluids, Moskva (1955), 350–384. (in Russian)

  2. Oka, S., The steady slow motion of a viscous fluid through a tapered tube,J. Phys. Soc. Japan,19, 8 (1960), 1481–1484.

    Article  Google Scholar 

  3. Wiggert, D. C. and W. F. Keitzer, Pulsatile flow in cylindrical and tapered rubber tubing,Biomechanics Monograph, ASME (1967), 125–136.

  4. Hall, P., Unsteady viscous flow in a slowly varying cross-section,J. Fluid Mech.,64 (1974), 209–226

    Article  MATH  Google Scholar 

  5. Grotberg, J. B., Oscillatory flow in a tapered channel,Biomechanics Symposium, AMD-Vol.56, ASME (1983), 95–96.

    Google Scholar 

  6. McDonald, D. A.,Blood Flow in Arteries, Edward Arnold Publishers, London (1964), 48–52.

    Google Scholar 

  7. Schultz, D. L., Pressure and flow in large arteries,Cardiovascular Fluid Dynamics, Ed. Bergel, Vol. I, Chapter 9, Academic Press, New York, (1972), 213–215.

    Google Scholar 

  8. Cen Ren-jing, Liu Bao-sen and Ned H. C. Hwang, Developing oscillatory flow in a circular pipe: A new solution,J. Biomech. Eng., Trans. of the ASME,109 (1987), 340–345.

    Article  Google Scholar 

  9. Qin Chan and Ned H. C. Hwang, The blood flow in a tapered vessel,Journal of South China University of Technology,18 (1990), 33–41. (in Chinese)

    Google Scholar 

  10. Targ, S. M.,Basic Problems of the Theory of Laminar Flows, Moskva (1951), 225–267. (in Russian).

  11. Atabek, H. B., C. C. Chang and L. M. Fingerson, Measurement of laminar oscillatory flow in the inlet length of a circular tube,Phys. Med. Biol.,9, 2 (1964), 219–227.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chou Li

The project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ren-jing, C., Chan, Q. Boundary layer development of pulsatile blood flow in a tapered vessel. Appl Math Mech 14, 319–326 (1993). https://doi.org/10.1007/BF02465168

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02465168

Key words

Navigation