engleski

Derivation of the Reynolds equation for lubrication of a rotating shaft

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.

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

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