Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe
Result description
In this paper we study a time-dependent flow of an incompressible micropolar fluid through a pipe with arbitrary crosssection. The effective behavior of the flow is found by means of rigorous asymptotic analysis with respect to the small parameter representing the pipe's thickness. The complete asymptotic expansion (up to an arbitrary order) of the solution is constructed with detailed analysis of the boundary layers provided. The convergence of the expansion is proved ustifying the usage of the formally derived asymptotic model.
Keywords
micropolar fluidnosteady flowasymptotic analysishigherorder effective modelerror estimates
The result's identifiers
Result code in IS VaVaI
Result on the web
https://www.sciencedirect.com/science/article/pii/S089812211830419X
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe
Original language description
In this paper we study a time-dependent flow of an incompressible micropolar fluid through a pipe with arbitrary crosssection. The effective behavior of the flow is found by means of rigorous asymptotic analysis with respect to the small parameter representing the pipe's thickness. The complete asymptotic expansion (up to an arbitrary order) of the solution is constructed with detailed analysis of the boundary layers provided. The convergence of the expansion is proved ustifying the usage of the formally derived asymptotic model.
Czech name
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Czech description
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Classification
Type
Jimp - 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
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
Computers and Mathematics with Applications
ISSN
0898-1221
e-ISSN
1873-7668
Volume of the periodical
76
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
26
Pages from-to
2035-2060
UT code for WoS article
000449135700001
EID of the result in the Scopus database
2-s2.0-85051624714
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Applied mathematics
Year of implementation
2018