Freestream Density by Kutta-Joukowski Theorem Calculator

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Two-Dimensional Incompressible Flow

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Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

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Flow and Lift Distribution

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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%
✖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.ⓘ Vortex Strength [Γ]			+10% -10%

✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density by Kutta-Joukowski Theorem [ρ_∞]

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Formula

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Freestream Density by Kutta-Joukowski Theorem

Formula

`"ρ"_{"∞"} = "L'"/("V"_{"∞"}*"Γ")`

Example

`"1.221532kg/m³"="5.9N/m"/("6.9m/s"*"0.7m²/s")`

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Freestream Density by Kutta-Joukowski Theorem Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 Velocity - (Measured in Meter per Second) - The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.
Vortex Strength - (Measured in Square Meter per Second) - Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.

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 Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required
Vortex Strength: 0.7 Square Meter per Second --> 0.7 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_∞ = L'/(V_∞*Γ) --> 5.9/(6.9*0.7)

Evaluating ... ...

ρ_∞ = 1.22153209109731

STEP 3: Convert Result to Output's Unit

1.22153209109731 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.22153209109731 ≈ 1.221532 Kilogram per Cubic Meter <-- Freestream Density

(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 » Freestream Density by Kutta-Joukowski Theorem

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Indian Institute of Technology (IIT), Bombay

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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

Freestream Density by Kutta-Joukowski Theorem Formula

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

What is Kutta-Joukowski theorem?

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

How to Calculate Freestream Density by Kutta-Joukowski Theorem?

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

How to calculate Freestream Density by Kutta-Joukowski Theorem using this online calculator? To use this online calculator for Freestream Density by Kutta-Joukowski Theorem, enter Lift per Unit Span (L'), Freestream Velocity (V_∞) & Vortex Strength (Γ) and hit the calculate button. Here is how the Freestream Density by Kutta-Joukowski Theorem calculation can be explained with given input values -> 224.2029 = 5.9/(6.9*0.7).

FAQ

What is Freestream Density by Kutta-Joukowski Theorem?

The Freestream density by Kutta-Joukowski theorem formula is defined as the function of freestream velocity, lift per unit span and vortex strength and is represented as ρ_∞ = L'/(V_∞*Γ) or Freestream Density = Lift per Unit Span/(Freestream Velocity*Vortex Strength). 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, The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles & Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.

How to calculate Freestream Density by Kutta-Joukowski Theorem?

The Freestream density by Kutta-Joukowski theorem formula is defined as the function of freestream velocity, lift per unit span and vortex strength is calculated using Freestream Density = Lift per Unit Span/(Freestream Velocity*Vortex Strength). To calculate Freestream Density by Kutta-Joukowski Theorem, you need Lift per Unit Span (L'), Freestream Velocity (V_∞) & Vortex Strength (Γ). With our tool, you need to enter the respective value for Lift per Unit Span, Freestream Velocity & Vortex Strength 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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