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Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. In a simple concentric shaft-bearing arrangement, the lubricant flows in the 2 mm gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is 100 mm and its tangential speed is 10 m/s. The dynamic viscosity of the lubricant is 0.1 kg/ms. The frictional resisting force (in Newton) per 100 mm length of the bearing is
    1. 15.707
    2. 15.706
    3. 15.708
    4. 15.709
Correct Option: A


F = A × μ
du
=
πDμ[ut - uw]
dr(∆t)

ut = tangential velocity
uw = velocity at bearing
F = π × 0.1 × 0.1 ×
0.1[10 - 0]
2 × 10-3

F = 15.707 N.



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