A Time Periodic Coupling for Fluid Structure Interaction in Distensible Vessels

In clinical practice, ultrasound velocimetry is often used as a non-invasive method to determine flow through arteries. Generally, the flow is derived by assessment of the centerline velocity and assuming a certain velocity profile, e.g. a Poiseuille or Womersley profile. In order to apply these velocity profiles it is assumed that the measurement is performed on a relatively long, straight vessel. However, in-vivo vessels are slightly curved, which causes asymmetry in the velocity distribution and thus an inaccurate flow determination.