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

Kód výsledku v IS VaVaI

RIV/68407700:21110/16:00302634 - isvavai.cz

Výsledek na webu

http://link.springer.com/article/10.1007/s10440-015-0026-1

DOI - Digital Object Identifier

10.1007/s10440-015-0026-1

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

GA13-18652S: Numerické modelování poškození a transportních procesů v kvazikřehkých materiálech

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Acta Applicandae Mathematicae

ISSN

0167-8019

e-ISSN

—

Svazek periodika

143

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

29-43

Kód UT WoS článku

000375706300003

EID výsledku v databázi Scopus

2-s2.0-84945207806