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

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Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Lift Coefficient for Rotating Cylinder: 12.55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = Γ_c/(R*C^') --> 243/(0.9*12.55)

Evaluating ... ...

V_∞ = 21.5139442231076

STEP 3: Convert Result to Output's Unit

21.5139442231076 Meter per Second --> No Conversion Required

FINAL ANSWER

21.5139442231076 ≈ 21.51394 Meter per Second <-- Freestream Velocity of Fluid

(Calculation completed in 00.007 seconds)

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< Fluid Parameters and Characteristics Calculators

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation

LaTeX Go Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)

Freestream velocity for lift coefficient with tangential speed

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

Freestream Velocity for single Stagnation Point

LaTeX Go Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)

Tangential velocity for single stagnation point

LaTeX Go Tangential Velocity of Cylinder in Fluid = 2*Freestream Velocity of Fluid

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation Formula

LaTeX Go

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

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 Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?

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

How to calculate Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation using this online calculator? To use this online calculator for Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation, enter Circulation Around Cylinder (Γ_c), Radius of Rotating Cylinder (R) & Lift Coefficient for Rotating Cylinder (C^') and hit the calculate button. Here is how the Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation calculation can be explained with given input values -> 21.51394 = 243/(0.9*12.55).

FAQ

What is Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?

The Freestream velocity for lift coefficient in rotating cylinder with circulation formula is known while considering the ratio of circulation to the radius of the cylinder and the lift coefficient and is represented as V_∞ = Γ_c/(R*C^') or Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder). 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 & Lift Coefficient for rotating cylinder relates the lift generated, fluid density around the cylinder, the fluid velocity, and an associated reference area.

How to calculate Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation?

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

In this formula, Freestream Velocity of Fluid uses Circulation Around Cylinder, Radius of Rotating Cylinder & Lift Coefficient for Rotating Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)
Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number

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