Acta Mechanica

, Volume 54, Issue 1–2, pp 107–119 | Cite as

Waves in fluid filled tubes: Theory and experiment

  • T. B. Moodie
  • D. W. Barclay
  • S. E. Greenwald
  • D. L. Newman
Contributed Papers

Summary

A viscoelastic shell theory model for transient pressure perturbations in fluid filled tubes is presented and tested against experiments involving water filled latex tubes. The agreement between theory and experiment is good.

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References

  1. [1]
    Newman, D. L., Greenwald, S. E., Denyer, H. T.: Impulse propagation in normal and stenosed vessels. Cardiovasc. Res.15, 190 (1981).Google Scholar
  2. [2]
    Greenwald, S. E., Newman, D. L.: Impulse propagation through junctions. Med. & Biol. Eng. & Comput.20, 343 (1982).Google Scholar
  3. [3]
    Newman, D. L., Greenwald, S. E., Moodie, T. B.: Reflection from elastic discontinuities. Med. & Biol. Eng. & Comput.21, 697 (1983).Google Scholar
  4. [4]
    Young, T.: Hydraulic investigations, subserviant to an intended croonian lecture on the motion of the blood. Phil. Trans. Roy. Soc. (London)98, 164 (1808).Google Scholar
  5. [5]
    Lighthill, M. J.: Waves in fluids. Cambridge University Press. 1978.Google Scholar
  6. [6]
    Moodie, T. B., Tait, R. J., Haddow, J. B.: Waves in compliant tubes. In: Wave [ropagation in viscoelastic media (Mainardi, F., ed.), p. 142. (Research Notes in Mathematics, No. 52). London: Pitman. 1982.Google Scholar
  7. [7]
    Crump, K. S.: Numerical inversion of Laplace transforms using a Fourier series approximation. J. ACM23, 89 (1976).Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • T. B. Moodie
    • 1
  • D. W. Barclay
    • 2
  • S. E. Greenwald
    • 3
  • D. L. Newman
    • 4
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada
  2. 2.Department of Mathematics and StatisticsUniversity of New BrunswickFrederictonCanada
  3. 3.Department of Morbid AnatomyThe London HospitalLondonEngland
  4. 4.Department of PhysicsGuy's Hospital Medical SchoolLondonEngland

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