@misc{10481/90995,
year = {2024},
month = {1},
url = {https://hdl.handle.net/10481/90995},
abstract = {We investigate the linear Floquet stability of two fluid layers undergoing oscillations
in the direction parallel to the flexible wall that separates them. This canonical
configuration is inspired by the cerebrospinal fluid flow in the spinal canal of subjects with
hydromyelia/syringomyelia. The analysis focuses on the marginal conditions for the onset
of instability, and how these depend on the spatial wavelength of the perturbation, and
on the values of the control parameters, which are the two channel widths, the Reynolds
number and the wall stiffness. Unstable perturbations are found to oscillate synchronous
with the base flow. The wavelength of the most unstable perturbation, of the order of the
stroke length of the basic oscillatory motion, depends strongly on the wall stiffness, but is
only weakly influenced by the channel widths and the Reynolds number. In general, around
criticality, it was found that increasing the Reynolds number has a destabilizing effect, and
that decreasing the canal widths stabilizes the instability. The wall stiffness on the other
hand has a non-monotonic effect, exhibiting an intermediate value for which the instability
is maximally amplified. The present analysis is a first step towards a better understanding
of the physical mechanisms that govern many (bio)fluid mechanical problems that involve
oscillatory flows near compliant walls.},
organization = {Coordinated project, PID2020-115961RB-C31, PID2020-115961RBC32
and PID2020-115961RA-C33, financed by MCIN/AEI/10.13039/501100011033},
organization = {Junta de
Andalucía and European Funds, project no. P18-FR-4619},
organization = {Funding for open access charge provided by
Universidad de Granada},
publisher = {Cambridge University Press},
keywords = {Biomedical flows},
keywords = {Flow–structure interactions},
title = {Floquet stability analysis of a two-layer oscillatory flow near a flexible wall},
doi = {10.1017/jfm.2023.1026},
author = {Bárcenas Luque, Antonio José and Coenen, W. and Gutiérrez Montes, C. and Martínez Bazán, Jesús Carlos},
}