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)

Credits

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Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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PSG College of Technology (PSGCT), Coimbatore
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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

Freestream Density by Kutta-Joukowski Theorem Formula

​LaTeX ​Go
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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