N.N.Kizilova Spectral charachteristics and pressure-flow relationships for wave liquid flow in systems of viscoelastic tubes |
Acoustic bulletin, Vol. 8 ¹ 1-2, (2005) |
| The results of investigation of an axisymmetric wave flow of a viscous incompressible liquid in a thick-walled tube of viscoelastic material are presented. The expressions for the components of liquid velocity, wall displacement and pressure in the liquid are obtained. Calculations of the volumetric flow rate in the tube with variable cross-section are carried out with allowance for wave reflection at the tube end. Parameters of the waves propagating in the arterial bed, modeled as the system of tubes with given geometrical and mechanical properties, are calculated on the basis of the obtained results. The wave conductivity spectrum of the beds having various geometry, pressure-flow dependencies in bed's inlet and intensity of the compression and extension incident and reflected waves related with reflections in the system are studied. A comparative analysis of influence of various geometric and mechanical parameters of the beds on the considered dependencies is carried out by means of computer modeling. Certain diagnostically informative parameters are distinguished, which allow the estimation of blood circulation state in the system on the basis of results of pressure and volumetric rate measurement in organ's feeding artery. |
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KEY WORDS: axisymmetric wave flow of a viscous incompressible liquid, viscoelastic material, volumetric flow rate, wave conductivity spectra, artery |
| TEXT LANGUAGE: Russian |