Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation Calculator

✖Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.ⓘ Circulation Around Cylinder [Γ_c]			+10% -10%
✖Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.ⓘ Lift Coefficient for Rotating Cylinder [C^']			+10% -10%
✖Freestream Velocity of Fluid is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down, or compress the fluid.ⓘ Freestream Velocity of Fluid [V_∞]			+10% -10%

✖Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.ⓘ Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation [R]

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Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)
R = Γ_c/(C^'*V_∞)
This formula uses 4 Variables

Variables Used

Radius of Rotating Cylinder - (Measured in Meter) - Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.
Circulation Around Cylinder - (Measured in Square Meter per Second) - Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.
Lift Coefficient for Rotating Cylinder - Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.
Freestream Velocity of Fluid - (Measured in Meter per Second) - Freestream Velocity of Fluid is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down, or compress the fluid.

STEP 1: Convert Input(s) to Base Unit

Circulation Around Cylinder: 243 Square Meter per Second --> 243 Square Meter per Second No Conversion Required
Lift Coefficient for Rotating Cylinder: 12.55 --> No Conversion Required
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = Γ_c/(C^'*V_∞) --> 243/(12.55*21.5)

Evaluating ... ...

R = 0.900583711664968

STEP 3: Convert Result to Output's Unit

0.900583711664968 Meter --> No Conversion Required

FINAL ANSWER

0.900583711664968 ≈ 0.900584 Meter <-- Radius of Rotating Cylinder

(Calculation completed in 00.007 seconds)

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< Lift and Circulation Calculators

Angle of Attack for Circulation developed on Airfoil

LaTeX Go Angle of Attack on Airfoil = asin(Circulation on Airfoil/(pi*Velocity of Airfoil*Chord Length of Airfoil))

Chord Length for Circulation developed on Airfoil

LaTeX Go Chord Length of Airfoil = Circulation on Airfoil/(pi*Velocity of Airfoil*sin(Angle of Attack on Airfoil))

Circulation developed on Airfoil

LaTeX Go Circulation on Airfoil = pi*Velocity of Airfoil*Chord Length of Airfoil*sin(Angle of Attack on Airfoil)

Coefficient of Lift for Airfoil

LaTeX Go Lift Coefficient for Airfoil = 2*pi*sin(Angle of Attack on Airfoil)

Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation Formula

LaTeX Go

Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)
R = Γ_c/(C^'*V_∞)

What is circulation flow?

In physics, circulation is the line integral of a vector field around a closed curve. In fluid dynamics, the field is the fluid velocity field. In electrodynamics, it can be the electric or the magnetic field.

What is lift coefficient?

The lift coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity, and an associated reference area.

How to Calculate Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation?

Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation calculator uses Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid) to calculate the Radius of Rotating Cylinder, The Radius of cylinder for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity. Radius of Rotating Cylinder is denoted by R symbol.

How to calculate Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation using this online calculator? To use this online calculator for Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation, enter Circulation Around Cylinder (Γ_c), Lift Coefficient for Rotating Cylinder (C^') & Freestream Velocity of Fluid (V_∞) and hit the calculate button. Here is how the Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation calculation can be explained with given input values -> 0.900584 = 243/(12.55*21.5).

FAQ

What is Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation?

The Radius of cylinder for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity and is represented as R = Γ_c/(C^'*V_∞) or Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid). Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder, Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area & Freestream Velocity of Fluid is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down, or compress the fluid.

How to calculate Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation?

The Radius of cylinder for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the lift coefficient and the freestream velocity is calculated using Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid). To calculate Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation, you need Circulation Around Cylinder (Γ_c), Lift Coefficient for Rotating Cylinder (C^') & Freestream Velocity of Fluid (V_∞). With our tool, you need to enter the respective value for Circulation Around Cylinder, Lift Coefficient for Rotating Cylinder & Freestream Velocity of Fluid 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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