Lift Per Unit Span by Kutta-Joukowski Theorem Calculator

✖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.ⓘ Vortex Strength [Γ]			+10% -10%

✖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 by Kutta-Joukowski Theorem [L']

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Lift Per Unit Span by Kutta-Joukowski Theorem Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

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
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

L' = ρ_∞*V_∞*Γ --> 1.225*6.9*0.7

Evaluating ... ...

L' = 5.91675

STEP 3: Convert Result to Output's Unit

5.91675 Newton per Meter --> No Conversion Required

FINAL ANSWER

5.91675 Newton per Meter <-- Lift per Unit Span

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Kutta Joukowski Lift Theorem Calculators

Freestream Velocity by Kutta-Joukowski Theorem

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

Freestream Density by Kutta-Joukowski Theorem

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

Circulation by Kutta-Joukowski Theorem

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

Lift Per Unit Span by Kutta-Joukowski Theorem

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

Lift Per Unit Span by Kutta-Joukowski Theorem Formula

LaTeX Go

Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength
L' = ρ_∞*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 Lift Per Unit Span by Kutta-Joukowski Theorem?

Lift Per Unit Span by Kutta-Joukowski Theorem calculator uses Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength to calculate 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 calculate Lift Per Unit Span by Kutta-Joukowski Theorem using this online calculator? To use this online calculator for Lift Per Unit Span by Kutta-Joukowski Theorem, enter Freestream Density (ρ_∞), Freestream Velocity (V_∞) & Vortex Strength (Γ) and hit the calculate button. Here is how the Lift Per Unit Span by Kutta-Joukowski Theorem calculation can be explained with given input values -> 5.91675 = 1.225*6.9*0.7.

FAQ

What is Lift Per Unit Span by Kutta-Joukowski Theorem?

The Lift per unit span by Kutta-Joukowski theorem formula is defined as the product of freestream velocity, circulation and freestream density and is represented as L' = ρ_∞*V_∞*Γ or Lift per Unit Span = Freestream Density*Freestream Velocity*Vortex Strength. 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 & Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.

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

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