Fluid flow between active elastic plates

Strunin, D. V. (2009) Fluid flow between active elastic plates. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50 (S). C871-C883. ISSN 1446-1811

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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 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.
Depositing User: Dr Dmitry Strunin
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 12 Nov 2009 06:16
Last Modified: 20 Oct 2014 23:51
Uncontrolled Keywords: fluid flow; elastic plates
Fields of Research (FOR2008): 01 Mathematical Sciences > 0102 Applied Mathematics > 010202 Biological Mathematics
01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations
02 Physical Sciences > 0299 Other Physical Sciences > 029903 Medical Physics
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/5080

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