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

✖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 with Circulation [C^']

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Lift Coefficient for Rotating Cylinder with Circulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Radius of Rotating Cylinder - (Measured in Meter) - Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.
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
Radius of Rotating Cylinder: 0.9 Meter --> 0.9 Meter 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

C^' = Γ_c/(R*V_∞) --> 243/(0.9*21.5)

Evaluating ... ...

C^' = 12.5581395348837

STEP 3: Convert Result to Output's Unit

12.5581395348837 --> No Conversion Required

FINAL ANSWER

12.5581395348837 ≈ 12.55814 <-- Lift Coefficient for Rotating Cylinder

(Calculation completed in 00.006 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)

Lift Coefficient for Rotating Cylinder with Circulation Formula

LaTeX Go

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

Lift Coefficient for Rotating Cylinder with Circulation calculator uses Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of Rotating Cylinder*Freestream Velocity of Fluid) to calculate the Lift Coefficient for Rotating Cylinder, The lift coefficient for rotating cylinder with circulation formula is defined as the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area and is calculated while considering the ratio of circulation to the radius of the cylinder and the freestream velocity. Lift Coefficient for Rotating Cylinder is denoted by C^' symbol.

How to calculate Lift Coefficient for Rotating Cylinder with Circulation using this online calculator? To use this online calculator for Lift Coefficient for Rotating Cylinder with Circulation, enter Circulation Around Cylinder (Γ_c), Radius of Rotating Cylinder (R) & Freestream Velocity of Fluid (V_∞) and hit the calculate button. Here is how the Lift Coefficient for Rotating Cylinder with Circulation calculation can be explained with given input values -> 12.55814 = 243/(0.9*21.5).

FAQ

What is Lift Coefficient for Rotating Cylinder with Circulation?

The lift coefficient for rotating cylinder with circulation formula is defined as the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area and is calculated while considering the ratio of circulation to the radius of the cylinder and the freestream velocity and is represented as C^' = Γ_c/(R*V_∞) or Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of 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, Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid & 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 Lift Coefficient for Rotating Cylinder with Circulation?

The lift coefficient for rotating cylinder with circulation formula is defined as the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area and is calculated while considering the ratio of circulation to the radius of the cylinder and the freestream velocity is calculated using Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of Rotating Cylinder*Freestream Velocity of Fluid). To calculate Lift Coefficient for Rotating Cylinder with Circulation, you need Circulation Around Cylinder (Γ_c), Radius of Rotating Cylinder (R) & Freestream Velocity of Fluid (V_∞). With our tool, you need to enter the respective value for Circulation Around Cylinder, Radius of 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.

How many ways are there to calculate Lift Coefficient for Rotating Cylinder?

In this formula, Lift Coefficient for Rotating Cylinder uses Circulation Around Cylinder, Radius of Rotating Cylinder & Freestream Velocity of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid

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