Radius of Cylinder 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%
✖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 [V_∞]			+10% -10%

✖The Cylinder Radius is the radius of its circular cross section.ⓘ Radius of Cylinder for Lifting Flow [R]

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Formula

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Radius of Cylinder for Lifting Flow

Formula

`"R" = "Γ"/("C"_{"L"}*"V"_{"∞"})`

Example

`"0.084541m"="0.7m²/s"/("1.2"*"6.9m/s")`

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Radius of Cylinder for Lifting Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Vortex Strength - (Measured in Square Meter per Second) - Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics.
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.
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.

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
Lift Coefficient: 1.2 --> No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = Γ/(C_L*V_∞) --> 0.7/(1.2*6.9)

Evaluating ... ...

R = 0.0845410628019324

STEP 3: Convert Result to Output's Unit

0.0845410628019324 Meter --> No Conversion Required

FINAL ANSWER

0.0845410628019324 ≈ 0.084541 Meter <-- Cylinder Radius

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

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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)

Radius of Cylinder for Lifting Flow Formula

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

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 Radius of Cylinder for Lifting Flow?

Radius of Cylinder for Lifting Flow calculator uses Cylinder Radius = Vortex Strength/(Lift Coefficient*Freestream Velocity) to calculate the Cylinder Radius, The Radius of Cylinder for Lifting Flow formula is defined as characteristic radius of a cylindrical body involved in a lifting flow scenario. Cylinder Radius is denoted by R symbol.

How to calculate Radius of Cylinder for Lifting Flow using this online calculator? To use this online calculator for Radius of Cylinder for Lifting Flow, enter Vortex Strength (Γ), Lift Coefficient (C_L) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Radius of Cylinder for Lifting Flow calculation can be explained with given input values -> 1.570048 = 0.7/(1.2*6.9).

FAQ

What is Radius of Cylinder for Lifting Flow?

The Radius of Cylinder for Lifting Flow formula is defined as characteristic radius of a cylindrical body involved in a lifting flow scenario and is represented as R = Γ/(C_L*V_∞) or Cylinder Radius = Vortex Strength/(Lift Coefficient*Freestream Velocity). Vortex Strength quantifies the intensity or magnitude of a vortex in fluid dynamics, 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 & The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

How to calculate Radius of Cylinder for Lifting Flow?

The Radius of Cylinder for Lifting Flow formula is defined as characteristic radius of a cylindrical body involved in a lifting flow scenario is calculated using Cylinder Radius = Vortex Strength/(Lift Coefficient*Freestream Velocity). To calculate Radius of Cylinder for Lifting Flow, you need Vortex Strength (Γ), Lift Coefficient (C_L) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Vortex Strength, Lift Coefficient & Freestream Velocity 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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