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." Australia 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 ID | 43 |
| Article Category | Article |
| Authors | Ahmed, F. Z. (Author), Strunin, D. V. (Author), Mohammed, M. G. (Author) and Bhanot, R. P. (Author) |
| Journal Title | Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
| Journal Citation | 57, pp. C221-C234 |
| Number of Pages | 14 |
| Year | 2016 |
| Publisher | Cambridge University Press |
| Place of Publication | Australia |
| ISSN | 1446-1811 |
| 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. |
| Keywords | fluid flow; elastic walls |
| ANZSRC Field of Research 2020 | 490303. 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 Affiliations | Faculty of Health, Engineering and Sciences |
| School of Agricultural, Computational and Environmental Sciences | |
| University of Thi-Qar, Iraq | |
| Institution of Origin | University of Southern Queensland |
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