Lift Per Unit Span by Kutta-Joukowski Theorem Formula

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Lift per Unit Span is defined for a two-dimensional body. The lift is the component of resultant force (caused by pressure and shear stress distribution) perpendicular to the freestream velocity. Check FAQs
L'=ρVΓ
L' - Lift per Unit Span?ρ - Freestream Density?V - Freestream Velocity?Γ - Vortex Strength?

Lift Per Unit Span by Kutta-Joukowski Theorem Example

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With units
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Here is how the Lift Per Unit Span by Kutta-Joukowski Theorem equation looks like with Values.

Here is how the Lift Per Unit Span by Kutta-Joukowski Theorem equation looks like with Units.

Here is how the Lift Per Unit Span by Kutta-Joukowski Theorem equation looks like.

5.9168Edit=1.225Edit6.9Edit0.7Edit
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Lift Per Unit Span by Kutta-Joukowski Theorem Solution

Follow our step by step solution on how to calculate Lift Per Unit Span by Kutta-Joukowski Theorem?

FIRST Step Consider the formula
L'=ρVΓ
Next Step Substitute values of Variables
L'=1.225kg/m³6.9m/s0.7m²/s
Next Step Prepare to Evaluate
L'=1.2256.90.7
Next Step Evaluate
L'=5.91675N/m
LAST Step Rounding Answer
L'=5.9168N/m

Lift Per Unit Span by Kutta-Joukowski Theorem Formula Elements

Variables
Lift per Unit Span
Lift per Unit Span is defined for a two-dimensional body. The lift is the component of resultant force (caused by pressure and shear stress distribution) perpendicular to the freestream velocity.
Symbol: L'
Measurement: Surface TensionUnit: N/m
Note: Value can be positive or negative.
Freestream Density
Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Symbol: ρ
Measurement: DensityUnit: kg/m³
Note: Value can be positive or negative.
Freestream Velocity
The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.
Symbol: V
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Vortex Strength
Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.
Symbol: Γ
Measurement: Velocity PotentialUnit: m²/s
Note: Value can be positive or negative.

Other formulas in Kutta Joukowski Lift Theorem category

​Go Circulation by Kutta-Joukowski Theorem
Γ=L'ρV
​Go Freestream Velocity by Kutta-Joukowski Theorem
V=L'ρΓ
​Go Freestream Density by Kutta-Joukowski Theorem
ρ=L'VΓ

How to Evaluate Lift Per Unit Span by Kutta-Joukowski Theorem?

Lift Per Unit Span by Kutta-Joukowski Theorem evaluator uses Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength to evaluate the Lift per Unit Span, Lift Per Unit Span by Kutta-Joukowski Theorem formula is defined as a principle that relates the lift generated by an airfoil to the circulation around it, providing insights into the aerodynamic performance of wings in two-dimensional incompressible flow. Lift per Unit Span is denoted by L' symbol.

How to evaluate Lift Per Unit Span by Kutta-Joukowski Theorem using this online evaluator? To use this online evaluator for Lift Per Unit Span by Kutta-Joukowski Theorem, enter Freestream Density ), Freestream Velocity (V) & Vortex Strength (Γ) and hit the calculate button.

FAQs on Lift Per Unit Span by Kutta-Joukowski Theorem

What is the formula to find Lift Per Unit Span by Kutta-Joukowski Theorem?
The formula of Lift Per Unit Span by Kutta-Joukowski Theorem is expressed as Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength. Here is an example- 5.91675 = 1.225*6.9*0.7.
How to calculate Lift Per Unit Span by Kutta-Joukowski Theorem?
With Freestream Density ), Freestream Velocity (V) & Vortex Strength (Γ) we can find Lift Per Unit Span by Kutta-Joukowski Theorem using the formula - Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength.
Can the Lift Per Unit Span by Kutta-Joukowski Theorem be negative?
Yes, the Lift Per Unit Span by Kutta-Joukowski Theorem, measured in Surface Tension can be negative.
Which unit is used to measure Lift Per Unit Span by Kutta-Joukowski Theorem?
Lift Per Unit Span by Kutta-Joukowski Theorem is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Lift Per Unit Span by Kutta-Joukowski Theorem can be measured.
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