Derivation of the Reynolds equation for lubrication of a rotating shaft
Duvnjak, Antonija ; Marušić-Paloka, Eduard
Archivum Mathematicum, Tome 036 (2000), p. 239-253 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2000-01-01
Classification:  35B25,  35B40,  35Q30,  76D08 
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     author = {Antonija Duvnjak and Eduard Maru\v si\'c-Paloka},
     title = {Derivation of the Reynolds equation for lubrication of a rotating shaft},
     journal = {Archivum Mathematicum},
     volume = {036},
     year = {2000},
     pages = {239-253},
     zbl = {1046.35006},
     mrnumber = {1811168},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107738}
}

Duvnjak, Antonija; Marušić-Paloka, Eduard. Derivation of the Reynolds equation for lubrication of a rotating shaft. Archivum Mathematicum, Tome 036 (2000) pp. 239-253. http://gdmltest.u-ga.fr/item/107738/

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