Numerical solution for the fluid flow between active elastic walls

Ahmed, F. Z. and Strunin, D. V. and 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. C221-C234. ISSN 1446-1811

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version embargoed until 1 Nov 2018 (2 years), 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 / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 14 Feb 2017 02:40
Last Modified: 14 Feb 2017 02:40
Uncontrolled Keywords: fluid flow; elastic walls
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi:10.21914/anziamj.v57i0.10453
URI: http://eprints.usq.edu.au/id/eprint/29817

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