Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00315822" target="_blank" >RIV/68407700:21110/18:00315822 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00161-017-0603-9" target="_blank" >https://link.springer.com/article/10.1007/s00161-017-0603-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00161-017-0603-9" target="_blank" >10.1007/s00161-017-0603-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium

Popis výsledku v původním jazyce

This paper reports an analytical investigation of non-isothermal fluid flow in a thin (or long) vertical pipe filled with porous medium via asymptotic analysis. We assume that the fluid inside the pipe is cooled (or heated) by the surrounding medium and that the flow is governed by the prescribed pressure drop between pipe’s ends. Starting from the dimensionless Darcy–Brinkman–Boussinesq system, we formally derive a macroscopic model describing the effective flow at small Brinkman–Darcy number. The asymptotic approximation is given by the explicit formulae for the velocity, pressure and temperature clearly acknowledging the effects of the cooling (heating) and porous structure. The theoretical error analysis is carried out to indicate the order of accuracy and to provide a rigorous justification of the effective model.

Název v anglickém jazyce

Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium

Popis výsledku anglicky

This paper reports an analytical investigation of non-isothermal fluid flow in a thin (or long) vertical pipe filled with porous medium via asymptotic analysis. We assume that the fluid inside the pipe is cooled (or heated) by the surrounding medium and that the flow is governed by the prescribed pressure drop between pipe’s ends. Starting from the dimensionless Darcy–Brinkman–Boussinesq system, we formally derive a macroscopic model describing the effective flow at small Brinkman–Darcy number. The asymptotic approximation is given by the explicit formulae for the velocity, pressure and temperature clearly acknowledging the effects of the cooling (heating) and porous structure. The theoretical error analysis is carried out to indicate the order of accuracy and to provide a rigorous justification of the effective model.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA16-20008S" target="_blank" >GA16-20008S: Víceúrovňový popis chování raného betonu</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Continuum Mechanics and Thermodynamics

ISSN

0935-1175

e-ISSN

1432-0959

Svazek periodika

30

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

17

Strana od-do

301-317

Kód UT WoS článku

000425286100005

EID výsledku v databázi Scopus

2-s2.0-85033442633