Circulation by Kutta-Joukowski Theorem Calculator

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Two-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

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Flow and Lift Distribution

Elementary Flows

Flow over Airfoils and Wings

Lift Distribution

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Kutta-Joukowski Lift Theorem

Flow over Cylinder

✖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.ⓘ Lift per Unit Span [L']			+10% -10%
✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity [V_∞]			+10% -10%

✖Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.ⓘ Circulation by Kutta-Joukowski Theorem [Γ]

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Formula

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Circulation by Kutta-Joukowski Theorem

Formula

`"Γ" = "L'"/("ρ"_{"∞"}*"V"_{"∞"})`

Example

`"0.698018m²/s"="5.9N/m"/("1.225kg/m³"*"6.9m/s")`

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Circulation by Kutta-Joukowski Theorem Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity)
Γ = L'/(ρ_∞*V_∞)
This formula uses 4 Variables

Variables Used

Vortex Strength - (Measured in Square Meter per Second) - Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.
Lift per Unit Span - (Measured in Newton per Meter) - 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.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

STEP 1: Convert Input(s) to Base Unit

Lift per Unit Span: 5.9 Newton per Meter --> 5.9 Newton per Meter No Conversion Required
Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ = L'/(ρ_∞*V_∞) --> 5.9/(1.225*6.9)

Evaluating ... ...

Γ = 0.698018337769891

STEP 3: Convert Result to Output's Unit

0.698018337769891 Square Meter per Second --> No Conversion Required

FINAL ANSWER

0.698018337769891 ≈ 0.698018 Square Meter per Second <-- Vortex Strength

(Calculation completed in 00.004 seconds)

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Home » Physics » Aerodynamics » Two-Dimensional Incompressible Flow » Flow and Lift Distribution » Kutta-Joukowski Lift Theorem » Circulation by Kutta-Joukowski Theorem

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 4 Kutta-Joukowski Lift Theorem Calculators

Freestream Velocity by Kutta-Joukowski Theorem

Go Freestream Velocity = Lift per Unit Span/(Freestream Density*Vortex Strength)

Freestream Density by Kutta-Joukowski Theorem

Go Freestream Density = Lift per Unit Span/(Freestream Velocity*Vortex Strength)

Circulation by Kutta-Joukowski Theorem

Go Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity)

Lift Per Unit Span by Kutta-Joukowski Theorem

Go Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength

Circulation by Kutta-Joukowski Theorem Formula

Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity)
Γ = L'/(ρ_∞*V_∞)

What is Kutta-Joukowski theorem?

The Kutta-Joukowski theorem states that lift per unit span is directly proportional to the circulation.

How to Calculate Circulation by Kutta-Joukowski Theorem?

Circulation by Kutta-Joukowski Theorem calculator uses Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity) to calculate 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 calculate Circulation by Kutta-Joukowski Theorem using this online calculator? To use this online calculator for Circulation by Kutta-Joukowski Theorem, enter Lift per Unit Span (L'), Freestream Density (ρ_∞) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Circulation by Kutta-Joukowski Theorem calculation can be explained with given input values -> 128.1159 = 5.9/(1.225*6.9).

FAQ

What is Circulation by Kutta-Joukowski Theorem?

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 and is represented as Γ = L'/(ρ_∞*V_∞) or Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity). 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, Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude & The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

How to calculate Circulation by Kutta-Joukowski Theorem?

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 is calculated using Vortex Strength = Lift per Unit Span/(Freestream Density*Freestream Velocity). To calculate Circulation by Kutta-Joukowski Theorem, you need Lift per Unit Span (L'), Freestream Density (ρ_∞) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Lift per Unit Span, Freestream Density & Freestream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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