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Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves

  • Blomechanics
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Abstract

A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.

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References

  • Atabek, H. B. (1968) Wave propagation through a viscous fluid contained in a tethered, initially stressed, orthotropic elastic tube.Biophys. J.,8, 626–649.

    Article  Google Scholar 

  • Bauer, H. F., Metten, St. andSiekmann, J. (1980) Dynamic behavior of distensible fluid lines carrying a pulsating incompressible liquid.ZAMM,60, 221–234.

    MATH  MathSciNet  Google Scholar 

  • Cox, R. H. (1975) Anisotropic properties of the canine carotid arteryin vitro.J. Biomech.,8, 293–300.

    Article  Google Scholar 

  • Fluegge, W. (1962)Statik und Dynamik der Schalen. Springer Verlag, Berlin.

    MATH  Google Scholar 

  • Fung, Y. C. (1981)Biomechanics. Springer-Verlag, New York.

    Google Scholar 

  • Liepsch, D., Seemann, A. andSiekmann, J. (1985) Note on wave propagation in a thin elastic tube containing a viscous fluid.J. Biomech.,18, 685–694.

    Article  Google Scholar 

  • Ling, S. C., Atabek, B., Letzing, W. G. andPatel, D. J. (1973) Nonlinear analysis of aortic flow in living dogs.Circ. Res.,33, 198–212.

    Google Scholar 

  • McDonald, D. A. (1976)Blood flow in arteries, 2nd edn. E. Arnold, London.

    Google Scholar 

  • Schwerdt, H. andConstantinesco, A. (1976) Periodic flow of a fiscous fluid superposed on steady flow in an orthotropic initially stressed elastic tube.Biorheology,13, 7–20.

    Google Scholar 

  • Weizsaecker, H. W., Lambert, H. andPascale, K. (1983) Analysis of the passive mechanical properties of rat carotid arteries.J. Biomech.,16, 703–716.

    Article  Google Scholar 

  • Whirlow, D. K. andRouleau, W. T. (1965) Periodic flow of a viscous liquid in a thick-walled elastic tube.Bull. Math. Biophys.,27, 355–371.

    MathSciNet  Google Scholar 

  • Womersley, J. R. (1957) An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. WADC Technical Report TR 56-614.

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Authors and Affiliations

  1. National Technical University of Athens, 28 October Str. 42, 106 82, Athens, Greece

    S. Tsangaris & D. Drikakis

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  1. S. Tsangaris
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  2. D. Drikakis
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Tsangaris, S., Drikakis, D. Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves. Med. Biol. Eng. Comput. 27, 82–88 (1989). https://doi.org/10.1007/BF02442174

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  • DOI: https://doi.org/10.1007/BF02442174

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