Effective Flow of Incompressible Micropolar Fluid Through a System of Thin Pipes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00302634" target="_blank" >RIV/68407700:21110/16:00302634 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s10440-015-0026-1" target="_blank" >http://link.springer.com/article/10.1007/s10440-015-0026-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-015-0026-1" target="_blank" >10.1007/s10440-015-0026-1</a>

Result language
angličtina
Original language name
Effective Flow of Incompressible Micropolar Fluid Through a System of Thin Pipes
Original language description
In this paper, we consider the incompressible micropolar fluid flowing through a multiple pipe system via asymptotic analysis. Introducing the ratio between pipes thickness and its length as a small parameter ε, we propose an approach leading to a macroscopic model describing the effective flow. In the interior of each pipe (far from the junction), we deduce that the fluid behavior is different depending on the magnitude of viscosity coefficients with respect to ε. In particular, we prove the solvability of the critical case characterized by the strong coupling between velocity and microrotation. In the vicinity of junction, an interior layer is observed so we correct our asymptotic approximation by solving an appropriate micropolar Leray’s problem. The error estimates are also derived providing the rigorous mathematical justification of the constructed approximation. We believe that the obtained result could be instrumental for understanding the microstructure effects on the fluid flow in pipe networks.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-18652S" target="_blank" >GA13-18652S: Computational modeling of damage and transport processes in quasi-brittle materials</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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