title: The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels.
abstract: In this paper, a power series and a Fourier series approach is used to solve the governing equations of motion in an elastic axi-symmetric vessel, assuming that blood is an incompressible Newtonian fluid. The time averaged flow has shown to be greater than the steady state flow leading to a larger wall shear stress. Oscillations can also be observed, which is not present in the steady state solution. This is due to the nonlinear momentum terms causing interaction between the harmonics.
authors: Department of Engineering Science, University of Oxford, UK. chang.park@eng.ox.ac.uk
authors: Chang Sub
authors: CS
authors: Park
authors: Stephen John
authors: SJ
authors: Payne
mesh_terms: D000465:Algorithms; D001696:Biomechanical Phenomena; D001703:Biophysics / Q000379:methods*; D001783:Blood Flow Velocity; D001808:Blood Vessels / Q000473:pathology*; D005583:Fourier Analysis; D006801:Humans; D008953:Models, Anatomic; D008955:Models, Cardiovascular; D015233:Models, Statistical; D009038:Motion; D009991:Oscillometry / Q000379:methods; D012815:Signal Processing, Computer-Assisted; D013314:Stress, Mechanical; D013997:Time Factors