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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v33.i6.40
pages 537-552

Investigation of Pressure - Flow Relations and the Parameters of the Forward and Backward Pressure Waves in Arterial Beds

N. N. Kizilova
V. N. Karazin Kharkiv National University, Ukraine

ABSTRACT

Wave motion of a viscous incompressible liquid in a model of the intraorgan arterial bed consisting of a thin long viscoelastic tube connected in series with a terminal element, characterized by complex wave conductivity, is investigated. Within the framework of an axysymmetrical model of wave motion of the liquid in the thick-walled cylindrical tube the expressions are obtained for the pressure and volume flow waves. For equations averaged over the tube cross-section the expressions for the Riemann invariants and intensities of the incident and reflected compression and expansion waves are obtained. Biomechanical interpretation for pressure-flow dependence and the parameters of the incident and reflected waves are developed by comparing the numerical results. Important diagnostic parameters, allowing to estimate the blood circulation conditions in the viscus upon the measurements of pressure and flow in feeding artery are determined. Wave diagram of pressure and flow variation in aorta and pulmonary arteries is analyzed. The obtained results can be used for developing the innovative non-invasive diagnostic techniques of viscera state estimation.


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