Calculating Drag Force due to air on a Pedestal Fan blade

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Discussion Overview

The discussion revolves around calculating the drag force acting on the blades of a pedestal fan that is powered by a flywheel. Participants explore the relationship between drag force, angular velocity, and torque, particularly in the context of a fan that continues to operate after power loss. The scope includes theoretical considerations and practical applications related to energy dynamics and fan performance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant describes a project involving a pedestal fan powered by a flywheel and seeks help in calculating the torque due to drag force and simplifying the fan blade geometry.
  • Another participant suggests measuring the electrical input to the fan as a potential solution.
  • A participant notes that measuring electrical input would only provide power consumption at a constant fan speed, which is not applicable when the flywheel is engaged and the RPM decreases over time.
  • There is a mention of using fan affinity laws to relate power to RPM, indicating that power is a cubic function of RPM, which could help in understanding the drag force dynamics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to calculate the drag force and torque. Multiple approaches are proposed, but the discussion remains unresolved regarding the most effective solution.

Contextual Notes

The discussion highlights the complexity of calculating drag force as it relates to varying angular velocities and the need for assumptions about the relationship between drag force and RPM. There are also unresolved mathematical steps regarding the integration of torque and drag force over time.

Who May Find This Useful

This discussion may be useful for individuals interested in fluid dynamics, mechanical engineering, and energy systems, particularly those working on projects involving rotating machinery and drag force calculations.

Kaycee92
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I am doing a project where in a pedestal fan is alternatively powered using a flywheel. The flywheel is brought to some initial angular velocity by the electric motor. Now, if the power goes off, the fan blades would be coupled to the flywheel and it continues to rotate for the next 10 minutes.

After the power goes off, we have considered that

Energy-flywheel + Energy-fan = ∫ (Torque-drag force * ω -fan) dt

I'm having trouble calculating the torque due to the drag force and how to geometrically simplify the fan blades.

Any solution would be very much helpful.
 
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Welcome to PF!

Why don't you just measure the electrical input to the fan?
 
Yes, but that would give me the power consumed at some constant fan speed( during operation).

When my flywheel is engaged, the rpm keeps on reducing and is a function of time.

If I know how the drag force is related to angular velocity and how much torque is generated, I would then be able to solve.
 
Any idea about drag force, Russ?
 
Kaycee92 said:
Yes, but that would give me the power consumed at some constant fan speed( during operation).

When my flywheel is engaged, the rpm keeps on reducing and is a function of time.
Well, once you have the peak, you can use the fan affinity laws to calculate the power at any rpm. Basically, power is a cube function of rpm.
 

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