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Freestream Velocity by Kutta-Joukowski Theorem Formula

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The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles. Check FAQs

V ∞ = \frac{L'}{ρ ∞ \cdot Γ}

V_∞ - Freestream Velocity?L' - Lift per Unit Span?ρ_∞ - Freestream Density?Γ - Vortex Strength?

Freestream Velocity by Kutta-Joukowski Theorem Example

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Here is how the Freestream Velocity by Kutta-Joukowski Theorem equation looks like with Values.

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

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

6.8805 = \frac{5.9}{1.225 \cdot 0.7}

6.8805m/s = \frac{5.9N/m}{1.225kg/m³ \cdot 0.7m²/s}

6.8805 = \frac{5.9}{1.225 \cdot 0.7}

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Freestream Velocity by Kutta-Joukowski Theorem Solution

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

FIRST Step Consider the formula

V ∞ = \frac{L'}{ρ ∞ \cdot Γ}

Next Step Substitute values of Variables

∴

V ∞ = \frac{5.9N/m}{1.225kg/m³ \cdot 0.7m²/s}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{5.9}{1.225 \cdot 0.7}

Next Step Evaluate

∴

V ∞ = 6.88046647230321m/s

LAST Step Rounding Answer

∴

V ∞ = 6.8805m/s

Freestream Velocity by Kutta-Joukowski Theorem Formula Elements

Variables

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

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

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 Lift Per Unit Span by Kutta-Joukowski Theorem

L' = ρ ∞ \cdot V ∞ \cdot Γ

Go Circulation by Kutta-Joukowski Theorem

Γ = \frac{L'}{ρ ∞ \cdot V ∞}

Go Freestream Density by Kutta-Joukowski Theorem

ρ ∞ = \frac{L'}{V ∞ \cdot Γ}

How to Evaluate Freestream Velocity by Kutta-Joukowski Theorem?

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

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

FAQs on Freestream Velocity by Kutta-Joukowski Theorem

What is the formula to find Freestream Velocity by Kutta-Joukowski Theorem?

The formula of Freestream Velocity by Kutta-Joukowski Theorem is expressed as Freestream Velocity = Lift per Unit Span/(Freestream Density*Vortex Strength). Here is an example- 1262.857 = 5.9/(1.225*0.7).

How to calculate Freestream Velocity by Kutta-Joukowski Theorem?

With Lift per Unit Span (L'), Freestream Density (ρ_∞) & Vortex Strength (Γ) we can find Freestream Velocity by Kutta-Joukowski Theorem using the formula - Freestream Velocity = Lift per Unit Span/(Freestream Density*Vortex Strength).

Can the Freestream Velocity by Kutta-Joukowski Theorem be negative?

Yes, the Freestream Velocity by Kutta-Joukowski Theorem, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity by Kutta-Joukowski Theorem?

Freestream Velocity by Kutta-Joukowski Theorem is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Freestream Velocity by Kutta-Joukowski Theorem can be measured.

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Freestream Velocity by Kutta-Joukowski Theorem Formula

Freestream Velocity by Kutta-Joukowski Theorem Example

Freestream Velocity by Kutta-Joukowski Theorem Solution

Freestream Velocity by Kutta-Joukowski Theorem Formula Elements

Other formulas in Kutta Joukowski Lift Theorem category

How to Evaluate Freestream Velocity by Kutta-Joukowski Theorem?

FAQs on Freestream Velocity by Kutta-Joukowski Theorem

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