# 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 43 Article Ahmed, F. Z. (Author), Strunin, D. V. (Author), Mohammed, M. G. (Author) and Bhanot, R. P. (Author) Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal 57, pp. C221-C234 14 2016 Australia 1446-1811 1446-8735 https://doi.org/10.21914/anziamj.v57i0.10453 http://journal.austms.org.au/ojs/index.php/ANZIAMJ... 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. fluid flow; elastic walls 490303. Numerical solution of differential and integral equations 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. Faculty of Health, Engineering and Sciences School of Agricultural, Computational and Environmental Sciences University of Thi-Qar, Iraq University of Southern Queensland

https://research.usq.edu.au/item/q39wz/numerical-solution-for-the-fluid-flow-between-active-elastic-walls

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