Naslov
Nonlinear Reynolds equation for lubrication of a rapidly rotating shaft

Autori
Marusic, Sanja

Izvornik
Applicable Analysis 75 (2000), 3-4; 379-401

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

Ključne riječi
lubrication; rotating shaft; nonlinear Reynolds equation; Navier-Stokes system; homogenization

Sažetak
Using the homogenization theory, we derive the nonlinear Reynolds equation governing the process of lubrication of a slipper bearing with rapidly rotating shaft. We prove that this nonlinear lubrication law is an approximation of the full Navier--Stokes equations in a thin cylinder with periodic roughness. The analyticity of the nonlinear function giving the relation between the velocity and the pressure drop is proved. The first term in its Taylor's expansion is the classical linear Reynolds law. Boundary layer correctors are computed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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