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Pregled bibliografske jedinice broj: 621190

Derivation of the Reynolds equation for lubrication of a rotating shaft


Duvnjak, Antonija; Marušić-Paloka, Eduard
Derivation of the Reynolds equation for lubrication of a rotating shaft // Archivum mathematicum, 36 (2000), 4; 239-253 (međunarodna recenzija, članak, znanstveni)


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Naslov
Derivation of the Reynolds equation for lubrication of a rotating shaft

Autori
Duvnjak, Antonija ; Marušić-Paloka, Eduard

Izvornik
Archivum mathematicum (0044-8753) 36 (2000), 4; 239-253

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
lubrication ; Reynolds equation ; Navier-Stokes system ; lower- dimensional approximation.

Sažetak
In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier– Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037116

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Poveznice na cjeloviti tekst rada:

dml.cz dml.cz

Citiraj ovu publikaciju:

Duvnjak, Antonija; Marušić-Paloka, Eduard
Derivation of the Reynolds equation for lubrication of a rotating shaft // Archivum mathematicum, 36 (2000), 4; 239-253 (međunarodna recenzija, članak, znanstveni)
Duvnjak, A. & Marušić-Paloka, E. (2000) Derivation of the Reynolds equation for lubrication of a rotating shaft. Archivum mathematicum, 36 (4), 239-253.
@article{article, author = {Duvnjak, Antonija and Maru\v{s}i\'{c}-Paloka, Eduard}, year = {2000}, pages = {239-253}, keywords = {lubrication, Reynolds equation, Navier-Stokes system, lower- dimensional approximation.}, journal = {Archivum mathematicum}, volume = {36}, number = {4}, issn = {0044-8753}, title = {Derivation of the Reynolds equation for lubrication of a rotating shaft}, keyword = {lubrication, Reynolds equation, Navier-Stokes system, lower- dimensional approximation.} }
@article{article, author = {Duvnjak, Antonija and Maru\v{s}i\'{c}-Paloka, Eduard}, year = {2000}, pages = {239-253}, keywords = {lubrication, Reynolds equation, Navier-Stokes system, lower- dimensional approximation.}, journal = {Archivum mathematicum}, volume = {36}, number = {4}, issn = {0044-8753}, title = {Derivation of the Reynolds equation for lubrication of a rotating shaft}, keyword = {lubrication, Reynolds equation, Navier-Stokes system, lower- dimensional approximation.} }

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  • MathSciNet





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