Numerical solution for the fluid flow between active elastic walls

Article

Ahmed, F. Z., Strunin, D. V., Mohammed, M. G. and Bhanot, R. P.. 2016. "Numerical solution for the fluid flow between active elastic walls." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 57, pp. C221-C234. https://doi.org/10.21914/anziamj.v57i0.10453
Article Title

Numerical solution for the fluid flow between active elastic walls

ERA Journal ID43
Article CategoryArticle
AuthorsAhmed, F. Z. (Author), Strunin, D. V. (Author), Mohammed, M. G. (Author) and Bhanot, R. P. (Author)
Journal TitleAustralian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Journal Citation57, pp. C221-C234
Number of Pages14
Year2016
Place of PublicationAustralia
ISSN1446-1811
1446-8735
Digital Object Identifier (DOI)https://doi.org/10.21914/anziamj.v57i0.10453
Web Address (URL)http://journal.austms.org.au/ojs/index.php/ANZIAMJ...
Abstract

We analyse a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time. The equation is solved numerically using the one-dimensional integrated radial basis function network method. A solution in the form of self-sustained train of pulses is obtained. Numerical experiments demonstrate the process of formation of the train from randomly chosen initial conditions. Dependence of the pulses on the boundary conditions is explored.

Keywordsfluid flow; elastic walls
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
Public Notes


Published version deposited in accordance with the copyright policy of the publisher. Published as part of the Proceedings of the 12th Biennial Engineering Mathematics and Application Conference.

Byline AffiliationsFaculty of Health, Engineering and Sciences
School of Agricultural, Computational and Environmental Sciences
University of Thi-Qar, Iraq
Institution of OriginUniversity of Southern Queensland
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