Velocity Calculation for helicopter rotor question

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SUMMARY

The discussion centers on calculating the velocity of a helicopter rotor using Excel, specifically comparing the user's calculations with those from an aerospace engineering peer. The user employs the lift and drag force equations, but struggles with the interpretation of variables, particularly U (flow velocity) and Kl (a variable not fully understood). The user’s calculated rotor speed is significantly lower than expected, indicating a potential misunderstanding of the reference area and coefficients involved in the equations.

PREREQUISITES
  • Understanding of basic aerodynamics, particularly lift and drag equations.
  • Familiarity with Excel for calculations and data manipulation.
  • Knowledge of helicopter rotor dynamics and performance metrics.
  • Basic grasp of fluid dynamics concepts, including air density and flow velocity.
NEXT STEPS
  • Research the significance of the lift coefficient (Cl) and drag coefficient (Cd) in rotor dynamics.
  • Learn how to accurately calculate reference area for helicopter rotors.
  • Study the relationship between rotor speed (RPM) and flow velocity in rotorcraft.
  • Explore advanced Excel functions for aerodynamics calculations, including error checking and formula validation.
USEFUL FOR

Aerospace engineering students, hobbyists working on RC helicopters, and anyone involved in rotorcraft performance analysis will benefit from this discussion.

helinewbie
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Hello, I'm creating an excel file to calculate the velocity of one rotor of a helicopter, and I'm getting really weird answer, in comparison to the one a friend of my who does aerospace engineering give me.

I don't do an aerospace engineering course but this is a project I've been researching at my own time so I'm really eager to learn how to work out equations by myself. And I've lost contact to that friend who gives me his excel file so I don't have anyone to help me really.

I have attached 2 XLS files.
- Basic Aero Dynamics of Helicopter.XLS is from my friend
- VelocityCalculation.xls is what I'm trying to achieve

The formula I was using is Force of Lift = p * Cl * U^2 * S/2 = Kl * w^2
where
p is air density
Cl is lift coefficient
U is flow velocity
S is the reference area
Kl is some K variable I don't understand.

Also, Force of Drag = p * Cd * U^2 * S/2 = Kd * w^2
where Cd is the drag coefficient

If you can help explaining what U really represent, it would be really helpful. I looked it up for aerodynamics of helicopter lift equation (http://helicopterflight.net/lift_equation.htm ) and find U is the same as w. Is this correct?

Another thing I don't quite get how my friend work out the velocity by sqrt(2*Force/(Density*Span*CoefficientLift)) What is the reference area of a helicopter? From http://www.aerospaceweb.org/question/aerodynamics/q0015b.shtml, it's the 2*PI*span, but he uses the span as the reference area.

His answer however is a lot more sensible than mine: ~1200RPM compared to ~153RPM. It's a small RC helicopter I'm looking at, and most commercial ones are 1200RPM-2000RPM. So I'm really confused.

Please have a look at the Excel Files. Thanks.
 

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thanks freinds
 

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