Freestream Velocity given 2-D Lift Coefficient for Lifting Flow Calculator

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Two-Dimensional Incompressible Flow

Compressible Flow

Fundamentals of Inviscid and Incompressible Flow

Three-Dimensional Incompressible Flow

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Flow and Lift Distribution

Elementary Flows

Flow over Airfoils and Wings

Lift Distribution

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Flow over Cylinder

Kutta-Joukowski Lift Theorem

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Lifting Flow over Cylinder

Nonlifting Flow over Cylinder

✖Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.ⓘ Vortex Strength [Γ]			+10% -10%
✖The Cylinder Radius is the radius of its circular cross section.ⓘ Cylinder Radius [R]			+10% -10%
✖Lift Coefficient is a dimensionless coefficient that relates the lift generated per unit span by a lifting body to the fluid density around the body, the fluid velocity & reference area.ⓘ Lift Coefficient [C_L]			+10% -10%

✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity given 2-D Lift Coefficient for Lifting Flow [V_∞]

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Formula

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Freestream Velocity given 2-D Lift Coefficient for Lifting Flow

Formula

`"V"_{"∞"} = "Γ"/("R"*"C"_{"L"})`

Example

`"7.291667m/s"="0.7m²/s"/("0.08m"*"1.2")`

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Freestream Velocity given 2-D Lift Coefficient for Lifting Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient)
V_∞ = Γ/(R*C_L)
This formula uses 4 Variables

Variables Used

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.
Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Lift Coefficient - Lift Coefficient is a dimensionless coefficient that relates the lift generated per unit span by a lifting body to the fluid density around the body, the fluid velocity & reference area.

STEP 1: Convert Input(s) to Base Unit

Vortex Strength: 0.7 Square Meter per Second --> 0.7 Square Meter per Second No Conversion Required
Cylinder Radius: 0.08 Meter --> 0.08 Meter No Conversion Required
Lift Coefficient: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = Γ/(R*C_L) --> 0.7/(0.08*1.2)

Evaluating ... ...

V_∞ = 7.29166666666667

STEP 3: Convert Result to Output's Unit

7.29166666666667 Meter per Second --> No Conversion Required

FINAL ANSWER

7.29166666666667 ≈ 7.291667 Meter per Second <-- Freestream Velocity

(Calculation completed in 00.020 seconds)

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< 10+ Lifting Flow over Cylinder Calculators

Surface Pressure Coefficient for Lifting Flow over Circular Cylinder

Go Surface Pressure Coefficient = 1-((2*sin(Polar Angle))^2+(2*Vortex Strength*sin(Polar Angle))/(pi*Cylinder Radius*Freestream Velocity)+((Vortex Strength)/(2*pi*Cylinder Radius*Freestream Velocity))^2)

Stream Function for Lifting Flow over Circular Cylinder

Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2)+Vortex Strength/(2*pi)*ln(Radial Coordinate/Cylinder Radius)

Location of Stagnation Point Outside Cylinder for Lifting Flow

Go Radial Coordinate of Stagnation Point = Stagnation Vortex Strength/(4*pi*Freestream Velocity)+sqrt((Stagnation Vortex Strength/(4*pi*Freestream Velocity))^2-Cylinder Radius^2)

Tangential Velocity for Lifting Flow over Circular Cylinder

Go Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)-(Vortex Strength)/(2*pi*Radial Coordinate)

Angular Position of Stagnation Point for Lifting Flow over Circular Cylinder

Go Polar Angle of Stagnation Point = arsin(-Stagnation Vortex Strength/(4*pi*Stagnation Freestream Velocity*Cylinder Radius))

Angular Position given Radial Velocity for Lifting Flow over Circular Cylinder

Go Polar Angle = arccos(Radial Velocity/((1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity))

Radial Velocity for Lifting Flow over Circular Cylinder

Go Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)

Freestream Velocity given 2-D Lift Coefficient for Lifting Flow

Go Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient)

Radius of Cylinder for Lifting Flow

Go Cylinder Radius = Vortex Strength/(Lift Coefficient*Freestream Velocity)

2-D Lift Coefficient for Cylinder

Go Lift Coefficient = Vortex Strength/(Cylinder Radius*Freestream Velocity)

Freestream Velocity given 2-D Lift Coefficient for Lifting Flow Formula

Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient)
V_∞ = Γ/(R*C_L)

Can you compare lift and drag on the spinning cylinder and wing of same planform area?

The lift on the spinning cylinder is higher than an airplane wing of the same planform area however the drag on the spinning cylinder is also much higher than the well-designed wing.

How to Calculate Freestream Velocity given 2-D Lift Coefficient for Lifting Flow?

Freestream Velocity given 2-D Lift Coefficient for Lifting Flow calculator uses Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient) to calculate the Freestream Velocity, The Freestream Velocity given 2-D Lift Coefficient for Lifting Flow formula is defined as the velocity of freestream that is free from any interactions or obstacles. Freestream Velocity is denoted by V_∞ symbol.

How to calculate Freestream Velocity given 2-D Lift Coefficient for Lifting Flow using this online calculator? To use this online calculator for Freestream Velocity given 2-D Lift Coefficient for Lifting Flow, enter Vortex Strength (Γ), Cylinder Radius (R) & Lift Coefficient (C_L) and hit the calculate button. Here is how the Freestream Velocity given 2-D Lift Coefficient for Lifting Flow calculation can be explained with given input values -> 135.4167 = 0.7/(0.08*1.2).

FAQ

What is Freestream Velocity given 2-D Lift Coefficient for Lifting Flow?

The Freestream Velocity given 2-D Lift Coefficient for Lifting Flow formula is defined as the velocity of freestream that is free from any interactions or obstacles and is represented as V_∞ = Γ/(R*C_L) or Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient). Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics, The Cylinder Radius is the radius of its circular cross section & Lift Coefficient is a dimensionless coefficient that relates the lift generated per unit span by a lifting body to the fluid density around the body, the fluid velocity & reference area.

How to calculate Freestream Velocity given 2-D Lift Coefficient for Lifting Flow?

The Freestream Velocity given 2-D Lift Coefficient for Lifting Flow formula is defined as the velocity of freestream that is free from any interactions or obstacles is calculated using Freestream Velocity = Vortex Strength/(Cylinder Radius*Lift Coefficient). To calculate Freestream Velocity given 2-D Lift Coefficient for Lifting Flow, you need Vortex Strength (Γ), Cylinder Radius (R) & Lift Coefficient (C_L). With our tool, you need to enter the respective value for Vortex Strength, Cylinder Radius & Lift Coefficient 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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