Sommario
Si considera la propagazione di onde di pressione in tubi distensibili riempiti di fluido. Dal confronto delle registrazioni sperimentali con le soluzioni teoriche si propone una semplice relazione di dispersione che contiene un singolo parametro indeterminato avente le dimensioni di un tempo. Si mostra come interpretare tale parametro e come stimare il suo valore. Si conclude con alcune considerazioni sulla velocità di propagazione delle onde di pressione nell'ambito emodinamico.
Summary
By comparing experimental records with model solutions we are led to propose a dispersion relation governing the propagation of pressure pulses in fluid filled distensible tubes. This relation contains a single undetermined parameter having the dimension of time. We show how this parameter may be interpreted and obtain an estimate of its value. Some comments concerning the speed of propagation of pressure waves in the haemodynamics contest are made.
References
Newman D.L., Greenwald S.E. andDenyer H.T.,Impulse propagation in normal and stenosed vessels, Cardiovasc. Res.15, 190–195 (1981).
Greenwald S.E. andNewman D.L.,Impulse propagation through junctions Med. & Biol. Eng. & Compt.20, 343–350 (1982).
Newman D.L., Grenwald S.E. andMoodie T.B.,Reflection from elastic discontinuities, Med. & Biol. Eng. & Compt.21, 697–701 (1983).
Greenwald S.E., Newman D.L. andMoodie T.B.,Impulse propagation in rubber tube analogues of arterial stenoses and aneurysms, Med. & Biol. Eng. & Compt. (to appear).
Young T.,Hydraulic investigations, subservient to an intended Croonian Lecture on the motion of the blood, Phil. Trans. Roy. Soc. London98, 164–186 (1808).
Lighthill, M.J.,Waves in Fluids, Cambridge, U.P., 1978.
Pedley T.J.,The Fluid Mechanics of Large Blood Vessels, Cambridge, U.P., 1980.
Moodie T.B., Tait R.J. andHaddow J.B.,Waves in compliant tubes, inWave Propagation in Viscoelastic Media, F. Mainardi (ed.), Research Notes in Mathematics, No. 52, 124–168, Pitman Ltd., London, 1982.
Whitham G.B.,Linear and Nonlinear Waves, Wiley, New York, 1974.
Moodie T.B. andHaddow J.B.,Asymptotic analysis for dispersive fluid filled tubes, J. Acoust. Soc. Am. 67, 446–452 (1980).
Author information
Authors and Affiliations
Additional information
This work has been realized within a bilateral project supported by the Italian Research Council (CNR) and the Natural Scinces and Engineering Research Council of Canada (NSERC).
Rights and permissions
About this article
Cite this article
Moodie, T.B., Mainardi, F. & Tait, R.J. Pressure pulses in fluid filled distensible tubes. Meccanica 20, 33–37 (1985). https://doi.org/10.1007/BF02337059
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02337059