Calculating Torque on a Turbine

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SUMMARY

The discussion focuses on calculating torque on a turbine that spins counterclockwise while falling through the air. It highlights the interaction between the turbine blades and the air, explaining that the air is accelerated clockwise, resulting in a counter-clockwise torque on the turbine. The conversation clarifies that although there is no net horizontal force, torque is generated through the acceleration of air and the effective angle of attack, which ultimately stabilizes the turbine's rotation.

PREREQUISITES
  • Understanding of free-body diagrams in fluid dynamics
  • Knowledge of torque and its calculation in rotational systems
  • Familiarity with drag components: form drag and skin friction
  • Basic principles of aerodynamics related to turbine operation
NEXT STEPS
  • Study the principles of torque calculation in rotating systems
  • Explore the effects of drag on turbine performance
  • Learn about the relationship between angle of attack and lift in turbine blades
  • Investigate the dynamics of fluid flow around rotating objects
USEFUL FOR

Mechanical engineers, aerospace engineers, and anyone involved in the design and analysis of turbine systems will benefit from this discussion.

JT673
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So I have a turbine falling through the air such that the free-body diagram for each of its rotor blades would look like:

http://img444.imageshack.us/img444/2504/freebodypy6.png

And the whole turbine spins counterclockwise

I understand that for this case you can split drag into form drag and skin friction, but how is torque being done on the turbine if there's no net force done in the horizontal direction?
Does skin friction apply to the torque?

Thanks,
JT
 
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JT673 said:
The whole turbine spins counterclockwise. How is torque being done on the turbine if there's no net force done in the horizontal direction?
The air is being accelerated clockwise via interaction with the turbine blades, and reacts to this clockwise acceleration with a counter-clockwise torque on the turbine. Eventually the turbines rate of rotation reduces the effective angle of attack and clockwise acceleration of air, reducing the torque until all torques cancel, and the rate of rotation stabilizes.
 

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