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The Effects of Non-Linearities on Wave Propagation and Time-Averaged Flow in Elastic 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. For vessels with wall stiffness in the arterial range, the viscosity reduces the wave speed by approximately 10 % and the non-linear terms increases it by approximately 5 % from that predicted by linear wave theory for inviscid fluids. When considering time-averaged flow, spatial perturbatio...

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Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
Journal:
6TH WORLD CONGRESS OF BIOMECHANICS (WCB 2010), PTS 1-3 More from this journal
Volume:
31
Pages:
1181-1184
Publication date:
2010-01-01
DOI:
ISSN:
1680-0737
Language:
English
Keywords:
Pubs id:
pubs:300961
UUID:
uuid:0639eb8f-3003-4ff5-8472-16b99f57a2ca
Local pid:
pubs:300961
Source identifiers:
300961
Deposit date:
2013-11-17

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