Parameters and branching auto-pulses in a fluid channel with active walls

Strunin, Dmitry and Ahmed, Fatima (2019) Parameters and branching auto-pulses in a fluid channel with active walls. Fluids, 4 (3).

[img]
Preview
Text (Published REPORTABLE Version)
fluids-04-00160-PUBLISHED.pdf
Available under License Creative Commons Attribution Share Alike 4.0.

Download (949kB) | Preview

Abstract

We present numerical solutions of the semi-phenomenological model of self-propagating fluid pulses (auto-pulses) in the channel branching into two thinner channels, which simulates branching of a hypothetical artificial artery. The model is based on the lubrication theory coupled with elasticity and has the form of a single nonlinear partial differential equation with respect to the displacement of the elastic wall as a function of the distance along the channel and time. The equation is solved numerically using the 1D integrated radial basis function network method. Using homogeneous boundary conditions on the edges of space domain and continuity condition at the branching point, we obtained and analyzed solutions in the form of auto-pulses penetrating through the branching point from the thick channel into the thin channels. We evaluated magnitudes
of the phenomenological coefficients responsible for the active motion of the walls in the model.


Statistics for USQ ePrint 37762
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: c 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sept 2019 -)
Date Deposited: 23 Jan 2020 23:44
Last Modified: 30 Jan 2020 05:13
Uncontrolled Keywords: fluid; active elastic boundaries; branching channel flow; pulse; artificial artery
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
01 Mathematical Sciences > 0102 Applied Mathematics > 010202 Biological Mathematics
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970106 Expanding Knowledge in the Biological Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.3390/fluids4030160
URI: http://eprints.usq.edu.au/id/eprint/37762

Actions (login required)

View Item Archive Repository Staff Only