Unsteady wall shear stress in a distensible tube.
An asymptotic expression of the wall shear stress (WSS) in an elastic tube is deduced for small values of the Womersley parameter. In the case of a rigid tube this asymptotic expression is shown to compare better with the exact solution than Poiseuille's or Lambossy's approximations. Its integration in a one-dimensional model of the internal carotid artery blood flow predicts more marked systolic and less marked diastolic WSS than those predicted by the commonly used Poiseuille's approximation.
Zagzoule
M
M
Laboratoire de Mécanique, UFR-MIG, Université Paul Sabatier, Toulouse, France.
Khalid-Naciri
J
J
Mauss
J
J
D002343:Carotid Artery, Internal / Q000502:physiology; D004548:Elasticity; D008955:Models, Cardiovascular; D011673:Pulsatile Flow / Q000502:physiology*; D012212:Rheology; D013314:Stress, Mechanical