Torque and viscosity relations, fluid mechanics

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SUMMARY

The discussion focuses on calculating the torque required to rotate two circular discs separated by a thin film of oil, specifically 0.13 mm thick, at a steady speed of 400 revolutions per minute. The viscosity of the oil is given as 0.14 Pa.s, and the final calculated torque is 2.24 Nm. Participants emphasize using the definition of viscosity and integrating in the radial direction while assuming laminar flow due to the thin oil layer.

PREREQUISITES
  • Understanding of fluid mechanics principles, particularly viscosity.
  • Knowledge of laminar flow characteristics.
  • Familiarity with torque calculations in rotational systems.
  • Ability to perform integration in the context of fluid dynamics.
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  • Study the principles of laminar flow in fluids.
  • Learn about the mathematical definition of viscosity and its applications.
  • Explore torque calculations in rotating systems using fluid mechanics.
  • Investigate the effects of film thickness on torque in lubrication scenarios.
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This discussion is beneficial for mechanical engineers, fluid mechanics students, and anyone involved in lubrication and rotational dynamics analysis.

abs123456
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A uniform film of oil 0.13 mm thick separates two circular discs, each 150 mm diameter and
mounted coaxially. Find the torque required to rotate one disc relative to the other at a steady speed
of 400 rev/min if the oil has a viscosity of 0.14 Pa.s. (Ignore edge effects at the rim of the disc).

Answer: 2.24 Nm.

Please could you show me the stages of how to go about getting that answer.
I am getting a bit confused with the variables
 
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Use the definition of viscosity then integrate in the radial direction.
The oil is very thin so assume laminar flow; should be straightforward after this
 

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