Pregled bibliografske jedinice broj: 621190
Derivation of the Reynolds equation for lubrication of a rotating shaft
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