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, Lift Per Unit Span by Kutta-Joukowski Theorem formula is defined as a principle that relates the lift generated by an airfoil to the circulation around it, providing insights into the aerodynamic performance of wings in two-dimensional incompressible flow. 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?

Lift Per Unit Span by Kutta-Joukowski Theorem formula is defined as a principle that relates the lift generated by an airfoil to the circulation around it, providing insights into the aerodynamic performance of wings in two-dimensional incompressible flow 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?

Lift Per Unit Span by Kutta-Joukowski Theorem formula is defined as a principle that relates the lift generated by an airfoil to the circulation around it, providing insights into the aerodynamic performance of wings in two-dimensional incompressible flow 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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