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The effect of the skin friction on the solution of the one-dimensional equations of pulsatile flow in distensible tubes

  • J. H. Gerrard
Article

Abstract

The one-dimensional equations are used in the calculation of blood flow in arteries. The majority of the treatments use the method of characteristics and because of the nature of the method it is necessary to use a simplified value of the skin friction. A commonly used simplification is to assume the zero frequency value of the skin friction. The effect of the use of this approximation is compared with results using the full linear theory value. It is shown that the phase difference between the skin friction and the flux has an appreciable effect on the velocity wave calculated from a given pressure wave.

Keywords

Haemodynamics Modelling Pulsatile flow 

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References

  1. Anliker M., Rockwell, R. L., andOgden, E. (1971) Non linear analysis of flow pulses and shock waves in arteries.ZAMP 22, 217.CrossRefGoogle Scholar
  2. Gerrard, J. H. andTaylor, L. A. (1977) Mathematical model representing blood flow in arteries.Med. & Biol. Eng. & Comput. 15, 611Google Scholar
  3. Olsen, J. H. andShapiro, A. H. (1967) Large amplitude unsteady flow in liquid-filled elastic tubes.J. Fluid Mech.,29, 513.CrossRefGoogle Scholar
  4. Trikha, A. K. (1975) An efficient method for simulating frequency-dependent friction in transient liquid flow.Trans. ASME Ser. I. J. Fluid Eng. 97, 97.Google Scholar
  5. Van der Werff, T. (1974) Significant parameters in arterial pressure and velocity development.J. Biomech. 7, 437.CrossRefGoogle Scholar
  6. Wemple, R. R. andMockros, L. F. (1972) Pressure and flow in the systemic arterial system.J. Biomech. 5, 629.CrossRefGoogle Scholar
  7. Womersley, J. R. (1955) Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves.Phil. Mag. 46, 199zbMATHMathSciNetGoogle Scholar

Copyright information

© International Federation for Medical & Biological Engineering 1981

Authors and Affiliations

  • J. H. Gerrard
    • 1
  1. 1.Department of the Mechanics of FluidsUniversity of ManchesterEngland

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