Homogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43959165" target="_blank" >RIV/49777513:23520/20:43959165 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00033-020-01361-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs00033-020-01361-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-020-01361-1" target="_blank" >10.1007/s00033-020-01361-1</a>

Result language
angličtina
Original language name
Homogenization of the fluid–structure interaction in acoustics of porous media perfused by viscous fluid
Original language description
This paper aims to clarify the homogenization results of the fluid–structure interaction in porous structures under the quasi-static and dynamic loading regimes. In the latter case, the acoustic fluctuations yield naturally a linear model which can be introduced in the configuration deformed as the consequence of the steady permanent flow. We consider a Newtonian slightly compressible fluid under the barotropic acoustic approximation. In contrast with usual simplifications, the advection phenomenon of the Navier–Stokes equations is accounted for. The homogenization results are based on the periodic unfolding method combined with the asymptotic expansion technique which provide a straight procedure leading the local problems for corrector functions yielding the effective model parameters and the macroscopic model. We show that the local problems for the solid and fluid parts are decoupled even in the dynamic interactions including the wall shear stress on the periodic interfaces. The dynamic permeability depends on the fluid flow properties including the advection effects associated with an assumed stationary perfusion of the porous structure.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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