The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels.
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 w...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1826304210092687360 |
|---|---|
| author | Park, C Payne, S |
| author_facet | Park, C Payne, S |
| author_sort | Park, C |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:14:19Z |
| format | Journal article |
| id | oxford-uuid:f093a73a-26de-4c8d-b6b8-8ae74a5ebea0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:14:19Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:f093a73a-26de-4c8d-b6b8-8ae74a5ebea02022-03-27T11:49:07ZThe effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f093a73a-26de-4c8d-b6b8-8ae74a5ebea0EnglishSymplectic Elements at Oxford2009Park, CPayne, SIn 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. |
| spellingShingle | Park, C Payne, S The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title | The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title_full | The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title_fullStr | The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title_full_unstemmed | The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title_short | The effects of non-linearities on shear stress in periodic flow in axi-symmetric vessels. |
| title_sort | effects of non linearities on shear stress in periodic flow in axi symmetric vessels |
| work_keys_str_mv | AT parkc theeffectsofnonlinearitiesonshearstressinperiodicflowinaxisymmetricvessels AT paynes theeffectsofnonlinearitiesonshearstressinperiodicflowinaxisymmetricvessels AT parkc effectsofnonlinearitiesonshearstressinperiodicflowinaxisymmetricvessels AT paynes effectsofnonlinearitiesonshearstressinperiodicflowinaxisymmetricvessels |