Circulation by Kutta-Joukowski Theorem Formula

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Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics. Check FAQs
Γ=L'ρV
Γ - Vortex Strength?L' - Lift per Unit Span?ρ - Freestream Density?V - Freestream Velocity?

Circulation by Kutta-Joukowski Theorem Example

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With units
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Here is how the Circulation by Kutta-Joukowski Theorem equation looks like with Values.

Here is how the Circulation by Kutta-Joukowski Theorem equation looks like with Units.

Here is how the Circulation by Kutta-Joukowski Theorem equation looks like.

0.698Edit=5.9Edit1.225Edit6.9Edit
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Circulation by Kutta-Joukowski Theorem Solution

Follow our step by step solution on how to calculate Circulation by Kutta-Joukowski Theorem?

FIRST Step Consider the formula
Γ=L'ρV
Next Step Substitute values of Variables
Γ=5.9N/m1.225kg/m³6.9m/s
Next Step Prepare to Evaluate
Γ=5.91.2256.9
Next Step Evaluate
Γ=0.698018337769891m²/s
LAST Step Rounding Answer
Γ=0.698m²/s

Circulation by Kutta-Joukowski Theorem Formula Elements

Variables
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.
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.

Other formulas in Kutta Joukowski Lift Theorem category

​Go Lift Per Unit Span by Kutta-Joukowski Theorem
L'=ρVΓ
​Go Freestream Velocity by Kutta-Joukowski Theorem
V=L'ρΓ
​Go Freestream Density by Kutta-Joukowski Theorem
ρ=L'VΓ

How to Evaluate Circulation by Kutta-Joukowski Theorem?

Circulation by Kutta-Joukowski Theorem evaluator uses Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity) to evaluate the Vortex Strength, The Circulation by Kutta-Joukowski theorem formula is defined as the function of freestream velocity, lift per unit span and freestream density. The strength of the vortex is circulation. Vortex Strength is denoted by Γ symbol.

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

FAQs on Circulation by Kutta-Joukowski Theorem

What is the formula to find Circulation by Kutta-Joukowski Theorem?
The formula of Circulation by Kutta-Joukowski Theorem is expressed as Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity). Here is an example- 128.1159 = 5.9/(1.225*6.9).
How to calculate Circulation by Kutta-Joukowski Theorem?
With Lift per Unit Span (L'), Freestream Density ) & Freestream Velocity (V) we can find Circulation by Kutta-Joukowski Theorem using the formula - Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity).
Can the Circulation by Kutta-Joukowski Theorem be negative?
Yes, the Circulation by Kutta-Joukowski Theorem, measured in Velocity Potential can be negative.
Which unit is used to measure Circulation by Kutta-Joukowski Theorem?
Circulation by Kutta-Joukowski Theorem is usually measured using the Square Meter per Second[m²/s] for Velocity Potential. are the few other units in which Circulation by Kutta-Joukowski Theorem can be measured.
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