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Model studies of the aortic pressure rise just after valve closure

Published online by Cambridge University Press:  21 April 2006

A. A. Van Steenhoven  and
M. E. H. Van Dongen
A. A. Van Steenhoven
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands
M. E. H. Van Dongen
Affiliation:
Departments of Mechanical Engineering and Physics, Eindhoven University of Technology, The Netherlands
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Abstract

Model experiments are performed in a long, thin-walled, fluid-filled, latex tube in which the fluid is locally suddenly stopped, starting from a steady flow, thus simulating the wave phenomenon generated by the final closure of the aortic valve. The resulting waveform is determined as it propagates upstream. The effect of a local step-wise change in compliance close to the valve, representing the aortic sinus section, is investigated. The observed phenomena are analysed by means of a quasi-one-dimensional model, solved by the method of characteristics, taking into account the influence of nonlinearities, wall shear stress, viscoelastic wall properties and wave reflections. The theoretical computations are well confirmed by the experimental results. The pressure jump, induced by the valve closing, appeared to be slightly affected by nonlinearities. The decrease of the pressure jump while propagating upstream and the gradual pressure increase that follows the pressure jump are caused by the effect of wall shear stress. The local change in compliance generates the expected wave reflections and has a strong influence on the rise-time of the wave front. The experiments confirmed the prediction that wall viscoelasticity is the dominant factor in the gradual decay of the slope of the wave.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 93 - 113
Copyright
© 1986 Cambridge University Press

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References

Bellhouse, B. J. & Talbot, L. 1969 The fluid mechanics of the aortic valve. J. Fluid Mech. 35, 721–735.Google Scholar
Bergel, D. H. 1961a The static elastic properties of the arterial wall. J. Physiol. 156, 445–457.Google Scholar
Bergel, D. H. 1961b The dynamic elastic properties of the arterial wall. J. Physiol. 156, 458–469.Google Scholar
Cowley, S. J. 1982 Elastic jumps on fluid-filled elastic tubes. J. Fluid Mech. 116, 459–473.Google Scholar
Gerrard, J. J. 1985 An experimental test of the theory of waves in fluid-filled deformable tubes. J. Fluid Mech. 156, 321–347.Google Scholar
Holenstein, R., Nerem, R. M. & Niederer, P. 1984 On the propagation of a wavefront in viscoelastic arteries. J. Biomech. Engng 106, 115–122.Google Scholar
Kivity, Y. & Collins, R. 1974 Steady state fluid flow in viscoelastic tubes. Application to blood flow in human arteries. Arch. Mech. 26, 921–931.Google Scholar
Kuiken, G. D. C. 1984 Wave propagation in a thin-walled liquid-filled initially stressed tube. J. Fluid Mech. 141, 289–308.Google Scholar
Lighthill, M. J. 1978 Waves in Fluids. Cambridge University Press.
Milnor, W. R. 1982 Hemodynamics. Williams and Wilkins.
Olsen, J. H. & Shapiro, A. H. 1967 Large-amplitude unsteady flow in liquid-filled elastic tubes. J. Fluid Mech. 29, 513–538.Google Scholar
Pedley, T. J. 1980 The Fluid Mechanics of Large Blood Vessels. Cambridge University Press.
Sauren, A. A. H. J., van Hout, M. C., van Steenhoven, A. A., Veldpaus, F. E. & Janssen, J. D. 1983 The mechanical properties of porcine aortic valve tissues. J. Biomech. 16, 327–337.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory. McGraw-Hill.
Van Steenhoven, A. A. & van Dongen, M. E. H. 1979 Model studies of the closing behaviour of the aortic valve. J. Fluid Mech. 90, 21–36.Google Scholar
Van Steenhoven, A. A., van Duppen, Th. J. A. G., Cauwenberg, J. W. G. & van Renterghem, R. J. 1982 In vitro closing behaviour of Björk-Shiley, St-Jude and Hancock heart valve prostheses in relation to the in-vivo recorded aortic valve closure. J. Biomech. 15, 841–848.Google Scholar
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley-Interscience.
Womersley, J. R. 1957 An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Tech. Rep. WADC-TR-56–614.Google Scholar
Zielke, W. 1968 Frequency-dependent friction in transient pipe flow. J. Basic Engng 90, 109–115.Google Scholar