Linear and nonlinear one-dimensional models of pulse wave transmission at high Womersley numbers.

摘要: Abstract The accuracy of nonlinear and linear one-dimensional models in describing pulse wave propagation a uniform cylindrical viscoelastic tube, with Womersley's parameter α equal to 7.6 at 1 Hz, was evaluated. To this end calculations using these were compared the experimentally determined pressure tube. generated had an amplitude 9.0 kPa caused relative radius change about 17%. static vs cross-sectional area relation found be for changes. Maximum fluid velocity 2.9 m s−1, while phase 5.4 s−1. ratio velocities violated model assumptions. viscous friction modelled on basis Poiseuille's law treating tube wall as purely elastic, underestimated damping predicted formation shock waves, which not experimentally. In models, blood according either or theory treated linearly elastic viscoelastic. A description based damping. Disregarding viscoelasticity resulted underestimation both spite nonlinearity system, Womersley described satisfactorily.