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Sommerfeld Number

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S = (η·N)/(P)·(R/c)² - dimensionless bearing operating parameter. Low S → thick film, hydrodynamic; high S → thin, boundary.

Formula

$$ S = \frac{\eta N}{P} \left(\frac{R}{c}\right)^2 $$

Symbol legend

SymbolMeaningUnitSource
$η$Dynamic viscosityPa·soil
$N$Shaft speedrev/stachometer
$P$Specific bearing loadPaload / area
$R, c$Journal radius, radial clearancemmbearing

Sources

  • Sommerfeld (1904).