Fluid flow between active elastic plates

Article

Strunin, D. V.. 2009. "Fluid flow between active elastic plates." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C871-C883.
Article Title

Fluid flow between active elastic plates

ERA Journal ID43
Article CategoryArticle
Authors
AuthorStrunin, D. V.
Journal TitleAustralian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Journal Citation50 (S), pp. C871-C883
Number of Pages13
Year2009
Place of PublicationCambridge, United Kingdom
ISSN1446-1811
1446-8735
Web Address (URL)http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1452
Abstract

We propose a model of a channel flow between actively moving elastic plates as a framework for blood flow in active human arteries. The main difference from extant models is that our model is autonomous. It is a nonlinear partial differential equation governing the deformation of the plates involving sixth order spatial derivative. The equation has a similar structure to the equation we proposed earlier to simulate another active system—spinning combustion front.

Keywordsfluid flow; elastic plates
ANZSRC Field of Research 2020490102. Biological mathematics
490410. Partial differential equations
510502. Medical physics
Public Notes

© Australian Mathematical Society 2009. Open access journal. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source.

Byline AffiliationsDepartment of Mathematics and Computing
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