Momentum transport equation for the fluids using projection-perturbation formalism and onset of turbulence
Result description
It is shown that it is possible to derive corrections to the Navier-Stokes equation from the Liouville equation using projection techniques and a perturbation analysis. In the first order the Reynolds equation is obtained, in the second- and third-ordercorrections to the Navier-Stokes equation are derived raising the possibility of periodic, quasi-periodic and irregular solutions.
Keywords
Momentum transportInstabilityOnset of turbulenceProjection techniques
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Momentum transport equation for the fluids using projection-perturbation formalism and onset of turbulence
Original language description
It is shown that it is possible to derive corrections to the Navier-Stokes equation from the Liouville equation using projection techniques and a perturbation analysis. In the first order the Reynolds equation is obtained, in the second- and third-ordercorrections to the Navier-Stokes equation are derived raising the possibility of periodic, quasi-periodic and irregular solutions.
Czech name
Rovnice transportu hybnosti pro tekutiny použitím projekčního a poruchového formalismu a přechod k turbulenci
Czech description
Ukazuje se, že je možno odvodit korekční členy k Navier-Stokesově rovnici z Liouvillovy rovnice použitím projekčních technik a poruchové analýzy. V prvním řádu dostáváme Reynoldsovu rovnici, ve druhém a třetím řádu jsou odvozeny korekční členy k Navier-Stokesově rovnici, čímž se zvyšuje možnost periodických, kvazi-periodických a nepravidelných řešení.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica. A, Theoretical and Statistical Physics
ISSN
0378-4371
e-ISSN
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Volume of the periodical
2005
Issue of the periodical within the volume
352
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
241-251
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2005