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

Article

Strunin, Dmitry and Ahmed, Fatima. 2019. "Parameters and branching auto-pulses in a fluid channel with active walls." Fluids. 4 (3). https://doi.org/10.3390/fluids4030160
Article Title

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

ERA Journal ID212518
Article CategoryArticle
AuthorsStrunin, Dmitry (Author) and Ahmed, Fatima (Author)
Journal TitleFluids
Journal Citation4 (3)
Number of Pages15
Year2019
PublisherMDPI AG
Place of PublicationSwitzerland
ISSN2311-5521
Digital Object Identifier (DOI)https://doi.org/10.3390/fluids4030160
Web Address (URL)https://www.mdpi.com/journal/fluids
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.

Keywordsfluid; active elastic boundaries; branching channel flow; pulse; artificial artery
ANZSRC Field of Research 2020490303. Numerical solution of differential and integral equations
490102. Biological mathematics
490105. Dynamical systems in applications
Byline AffiliationsFaculty of Health, Engineering and Sciences
Institution of OriginUniversity of Southern Queensland
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