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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' = ρ ∞ \cdot V ∞ \cdot Γ

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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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.

5.9168 = 1.225 \cdot 6.9 \cdot 0.7

5.9168N/m = 1.225kg/m³ \cdot 6.9m/s \cdot 0.7m²/s

5.9168 = 1.225 \cdot 6.9 \cdot 0.7

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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' = ρ ∞ \cdot V ∞ \cdot Γ

Next Step Substitute values of Variables

∴

L' = 1.225kg/m³ \cdot 6.9m/s \cdot 0.7m²/s

Next Step Prepare to Evaluate

∴

L' = 1.225 \cdot 6.9 \cdot 0.7

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.

Formulas to find Lift per Unit Span

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.

Formulas to find Freestream Density

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.

Formulas to find Freestream Velocity

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.

Formulas to find Vortex Strength

Other formulas in Kutta Joukowski Lift Theorem category

Go Circulation by Kutta-Joukowski Theorem

Γ = \frac{L'}{ρ ∞ \cdot V ∞}

Go Freestream Velocity by Kutta-Joukowski Theorem

V ∞ = \frac{L'}{ρ ∞ \cdot Γ}

Go Freestream Density by Kutta-Joukowski Theorem

ρ ∞ = \frac{L'}{V ∞ \cdot Γ}

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, The Lift per unit span by Kutta-Joukowski theorem formula is defined as the product of freestream velocity, circulation and freestream density. 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 (ρ_∞), 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 (ρ_∞), 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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Lift Per Unit Span by Kutta-Joukowski Theorem Formula

Lift Per Unit Span by Kutta-Joukowski Theorem Example

Lift Per Unit Span by Kutta-Joukowski Theorem Solution

Lift Per Unit Span by Kutta-Joukowski Theorem Formula Elements

Other formulas in Kutta Joukowski Lift Theorem category

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

FAQs on Lift Per Unit Span by Kutta-Joukowski Theorem

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