The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels

Author

Park, Chang Sub ; Payne, Stephen John

Author_Institution

Dept. of Eng. Sci., Univ. of Oxford, Oxford, UK

fYear

2009

fDate

3-6 Sept. 2009

Firstpage

3944

Lastpage

3947

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.

Keywords

Fourier series; fluid oscillations; haemodynamics; physiological models; pulsatile flow; shear flow; Fourier series; axisymmetric vessels; blood flow; incompressible Newtonian fluid; nonlinear momentum; periodic flow; physiological flow; shear stress; time averaged flow; vascular system; Algorithms; Biomechanics; Biophysics; Blood Flow Velocity; Blood Vessels; Fourier Analysis; Humans; Models, Anatomic; Models, Cardiovascular; Models, Statistical; Motion; Oscillometry; Signal Processing, Computer-Assisted; Stress, Mechanical; Time Factors;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 2009. EMBC 2009. Annual International Conference of the IEEE

Conference_Location

Minneapolis, MN

ISSN

1557-170X

Print_ISBN

978-1-4244-3296-7

Electronic_ISBN

1557-170X

Type

conf

DOI

10.1109/IEMBS.2009.5333687

Filename

5333687