Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA16-20008S" target="_blank" >GA16-20008S: Multiscale modeling of early age concrete</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Continuum Mechanics and Thermodynamics
ISSN
0935-1175
e-ISSN
1432-0959
Volume of the periodical
30
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
301-317
UT code for WoS article
000425286100005
EID of the result in the Scopus database
2-s2.0-85033442633