The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels
Journal
Proceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009
Pages
3944-3947
Date Issued
2009
Author(s)
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. ?2009 IEEE.
Subjects
Equations of motion
Fourier series
Newtonian liquids
Shear stress
Governing equations of motion
Incompressible Newtonian fluid
Momentum term
Periodic flow
Steady state solution
Steady-state flows
Time-averaged flow
Wall shear stress
Shear flow
Type
conference paper