GATE ME 2014 Set 1 — Question 55
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Fluid Mechanics → Fluid Properties & Statics → Fluid Properties
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Question
In a simple concentric shaft-bearing arrangement, the lubricant flows in the 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 and its tangential speed is . The dynamic viscosity of the lubricant is . The frictional resisting force (in newton) per length of the bearing is _______
Correct answer
15 to 16
Solution
Given:
Gap,
Diameter of shaft,
Tangential speed,
Dynamic viscosity,
Length of bearing, For a plane Couette flow with zero pressure gradient, the velocity profile is linear.
Shear stress,
Frictional resisting force,
The frictional resisting force is approximately .
Gap,
Diameter of shaft,
Tangential speed,
Dynamic viscosity,
Length of bearing, For a plane Couette flow with zero pressure gradient, the velocity profile is linear.
Shear stress,
Frictional resisting force,
The frictional resisting force is approximately .
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