Definition
The Sommerfeld Number is typically defined by the following equation.
Where:
- S is the Sommerfeld Number or bearing characteristic number
- r is the shaft radius
- c is the radial clearance
- μ is the absolute viscosity of the lubricant
- N is the speed of the rotating shaft in rev/s
- P is the load per unit of projected bearing area
However, an alternative definition is used in some texts based on angular velocity:
Where:
- is angular velocity of the shaft in rad/s.
- W is the applied load
- L is the bearing length
- D is the bearing diameter
It is therefore necessary to check which definition is being used when referring to design data or textbooks, since the value of S will differ by a factor of .
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