Circulation for rotating cylinders Calculator

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✖Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid.ⓘ Radius of Rotating Cylinder [R]			+10% -10%
✖Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid.ⓘ Tangential Velocity of Cylinder in Fluid [v_t]			+10% -10%

✖Circulation around cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.ⓘ Circulation for rotating cylinders [Γ_c]

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Circulation for rotating cylinders

Formula

`"Γ"_{"c"} = (2*pi*"R"*"v"_{"t"})`

Example

`"243.1593m²/s"=(2*pi*"0.9m"*"43m/s")`

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Circulation for rotating cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid)
Γ_c = (2*pi*R*v_t)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Tangential Velocity of Cylinder in Fluid - (Measured in Meter per Second) - Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid.

STEP 1: Convert Input(s) to Base Unit

Radius of Rotating Cylinder: 0.9 Meter --> 0.9 Meter No Conversion Required
Tangential Velocity of Cylinder in Fluid: 43 Meter per Second --> 43 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ_c = (2*pi*R*v_t) --> (2*pi*0.9*43)

Evaluating ... ...

Γ_c = 243.15927138785

STEP 3: Convert Result to Output's Unit

243.15927138785 Square Meter per Second --> No Conversion Required

FINAL ANSWER

243.15927138785 ≈ 243.1593 Square Meter per Second <-- Circulation Around Cylinder

(Calculation completed in 00.020 seconds)

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< 7 Cylinder Properties Calculators

Location of Stagnation points for Rotating Cylinder in Uniform Flow Field

Go Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi

Radius of Cylinder for location of Stagnation Points

Go Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point))))

Length of Cylinder for Lift Force on Cylinder

Go Length of Cylinder in Fluid Flow = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Circulation Around Cylinder*Freestream Velocity of Fluid)

Circulation for Lift Force on Cylinder

Go Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid)

Diameter of Cylinder given Strouhal Number

Go Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding

Circulation for rotating cylinders

Go Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid)

Radius of Cylinder for Single Stagnation Point

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

Circulation for rotating cylinders Formula

Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid)
Γ_c = (2*pi*R*v_t)

What is circulation flow?

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 a circulation lift?

The circulation theory of lift asserts that the difference in air speed over and under the wing results from a net "circulation" of air.

How to Calculate Circulation for rotating cylinders?

Circulation for rotating cylinders calculator uses Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid) to calculate the Circulation Around Cylinder, The Circulation for rotating cylinders formula is defined as a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid. Circulation Around Cylinder is denoted by Γ_c symbol.

How to calculate Circulation for rotating cylinders using this online calculator? To use this online calculator for Circulation for rotating cylinders, enter Radius of Rotating Cylinder (R) & Tangential Velocity of Cylinder in Fluid (v_t) and hit the calculate button. Here is how the Circulation for rotating cylinders calculation can be explained with given input values -> 243.1593 = (2*pi*0.9*43).

FAQ

What is Circulation for rotating cylinders?

The Circulation for rotating cylinders formula is defined as a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid and is represented as Γ_c = (2*pi*R*v_t) or Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid). Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid & Tangential velocity of cylinder in fluid is the speed of the periphery of the cylinder rotating in the flowing fluid.

How to calculate Circulation for rotating cylinders?

The Circulation for rotating cylinders formula is defined as a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid is calculated using Circulation Around Cylinder = (2*pi*Radius of Rotating Cylinder*Tangential Velocity of Cylinder in Fluid). To calculate Circulation for rotating cylinders, you need Radius of Rotating Cylinder (R) & Tangential Velocity of Cylinder in Fluid (v_t). With our tool, you need to enter the respective value for Radius of Rotating Cylinder & Tangential Velocity of Cylinder in 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 Circulation Around Cylinder?

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

Circulation Around Cylinder = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Freestream Velocity of Fluid)

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