Lift Formula: SI Units & Coefficient of Lift

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Discussion Overview

The discussion revolves around the lift formula, specifically the units used for each variable in the formula and the determination of the coefficient of lift. It includes questions about the application of SI units and methods for finding the coefficient of lift, touching on experimental approaches and practical setups.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant states the lift formula as "F = Cl/2 P V^2 S" and inquires about the SI units for each variable.
  • Another participant explains that the coefficient of lift is typically derived from experimental data, such as wind tunnel tests, and mentions that tabulated values exist for basic shapes.
  • Specific SI units are provided for density (ρ), velocity (V), and area (A), with the coefficient of lift (Cl) noted as dimensionless.
  • A participant rearranges the lift formula to express the coefficient of lift and proposes a method to measure lift using mass and gravitational force.
  • Concerns are raised about the airflow quality in a wind tunnel setup due to potential swirl from the fan, which could affect results.
  • A question is posed about the effectiveness of using an air conditioner or air cooler as an alternative to a fan in the wind tunnel setup.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of various airflow setups for measuring lift, and there is no consensus on the best method for achieving a straight airflow in a wind tunnel.

Contextual Notes

Participants discuss the implications of airflow quality on experimental results, highlighting the importance of flow straighteners in wind tunnel designs. There are unresolved aspects regarding the setup and measurement techniques for determining the coefficient of lift.

Who May Find This Useful

Individuals interested in aerodynamics, experimental physics, and engineering applications related to lift and airflow measurement may find this discussion relevant.

itsjustme
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About the lift formula i know its "F= Cl/2 P V^2 S" but my questions are what units do you use for each value (still SI?) and is there any formula for finding the caofiscient of lift, if not then how do you find it out?
 
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Coefficient of lift is an experimentally derived value in most cases, i.e. wind tunnel tests. There are tabulated values in many text for basic shapes like spheres and flat plates.

As far as the units go, the standard units in SI are
\rho is in \frac{kg}{m^3}

V is in \frac{m}{s}

A is in m^2

Of course, CL is a dimensionless number.
 
CL = L/(0.5*ro*S*V^2)
 
jaap de vries said:
CL = L/(0.5*ro*S*V^2)
thanks FredGarvin. you know jaap de vries i was actually thinking the same thing but i rearenged the equation and it read CL = 2L/(1*ro*S*V^2) anyway then i thought that if i measured the mass of the foil plus the straw (refer to diagram) and then timesed it by 9.8 i would get the ammoung of lift produced when the foil is neither climbing nor descending, after getting it in balance measure the airspeed at the foil.
Diagram (click on it to expand):
HBwindtunnel.JPG
 
Itsjustme,

If this is the setup of your windtunnel it means that the airstream hits the airfoil with a lot of swirl from the fan. That is because there are no flow straighteners. This can have significant effect on the stall onset point etc.
When you use SI units than everything becomes pretty straightforward.

Jaap
 
Ok, if a fan won't work well then would an aircon or an air cooler?
 

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