Naslov
Correctors for Reynolds equation describing the process of lubrication of a rotating shaft

Autori
Duvnjak, Antonija ; Marušić-Paloka, Eduard

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Trends in applications of mathematics to mechanics / Ioss, Gerard ; Gues, Olivier ; Nouri, Anne - Nica : Chapman and Hall, 2000, 272-281

Skup
Trends in applications of mathematics to mechanics

Mjesto i datum
Nica, Francuska, 25.05.1998. - 29.05.1998

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Lubrication ; rotating shaft ; correctors for Reynolds equation

Sažetak
We study the lubrication process of a slipper bearing. A circular shaft of radius $R$ and length $l$ rotates on lubricated (not perfectly smooth) support with constant angular velocity $\omega$. In the thin domain $\Ce $ between the shaft and the support (where $\varepsilon \ll l$ stands for its thickness ) a viscous incompressible fluid (lubricant) is injected. Starting from the Navier--Stokes system in $\Ce $we find an asymptotic expansion for the velocity and for the pressure in powers of $\varepsilon$. It is well known that the zero order term $(u^0, p^0)$ satisfies the standard Reynolds equation. In the present paper we find its corrector $(u^1, p^1)$ that satisfies the modified Reynolds equation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA