Sommerfield Number
Sommerfield number, abbreviated as S, a dimensionless number, is used extensively in hydrodynamic lubrication analysis.
Sommerfield Number formula |
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\(\large{ S = \left( \frac{ r }{ c } \right)^2 \; \frac{ \mu\;n}{P} }\) | ||
Symbol | English | Metric |
\(\large{ S }\) = Sommerfield number | \(\large{dimensionless}\) | |
\(\large{ \mu }\) (Greek symbol mu) = absolute viscosity | \(\large{\frac{lbf - sec}{ft^2}}\) | \(\large{ Pa - s }\) |
\(\large{ P }\) = load per unit of projected bearing area | \(\large{\frac{lbf}{in}}\) | \(\large{\frac{N}{m}}\) |
\(\large{ c }\) = radius clearance | \(\large{ft}\) | \(\large{m}\) |
\(\large{ r }\) = shaft radius | \(\large{ft}\) | \(\large{m}\) |
\(\large{ n }\) = shaft rotational speed | \(\large{\frac{r}{min}}\) | \(\large{\frac{r}{min}}\) |
Tags: Fluid Equations