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A full journal bearing having clearance to radius ratio of 1/100, using a lubricant with absolute viscosity μ  = 28 × 10-3 Pas, supports the shaft journal running at N= 2400 rpm. If the bearing pressure is 1.4 MPa, then the Somerfield number is:

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  1. 0.48
  2. 8 × 10-3
  3. 0.48 × 10-6
  4. 8 × 10-5

Answer (Detailed Solution Below)

Option 2 : 8 × 10-3
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Detailed Solution

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Explanation:

Concept:

Somerfield number is the dimensionless number which is used in hydrodynamic lubrication analysis. It remains constant for a given bearing.

Where, S = Somerfield number,  = absolute viscosity (Pas), n = speed (rps), p = bearing pressure (Pa), r = radius of journal bearing (m), c = radial clearance (m).

Calculation:

Given:

 = 28  10-3 Pas

N = 2400 rpm

p = 1.4 MPa

So, Somerfield number is:

 = 810-3.

Thus, option (2) is the correct answer.

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