Circulation for Single Stagnation Point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Γc = 4*pi*V*R
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.
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.
Radius of Rotating Cylinder - (Measured in Meter) - Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid.
STEP 1: Convert Input(s) to Base Unit
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
Radius of Rotating Cylinder: 0.9 Meter --> 0.9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Γc = 4*pi*V*R --> 4*pi*21.5*0.9
Evaluating ... ...
Γc = 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 00.004 seconds)

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16 Lift and Circulation Calculators

Lift Force for Body moving in Fluid
Go Lift Force on Body in Fluid = (Lift Coefficient for Body in Fluid*Projected Area of Body*Mass of Flowing Fluid*(Velocity of Body or Fluid^2))/(Volume of Flowing Fluid*2)
Circulation in Location of Stagnation Points
Go Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Lift coefficient for lift force in body moving on fluid
Go Lift Coefficient for Body in Fluid = Lift Force on Body in Fluid/(Projected Area of Body*0.5*Density of Fluid Circulating*(Velocity of Body or Fluid^2))
Lift Force for body moving in Fluid of Certain Density
Go Lift Force on Rotating Cylinder = Lift Coefficient for Body in Fluid*Projected Area of Body*Density of Fluid Circulating*(Velocity of Body or Fluid^2)/2
Lift Force on Cylinder for Circulation
Go Lift Force on Rotating Cylinder = Density of Fluid Circulating*Length of Cylinder in Fluid Flow*Circulation Around Cylinder*Freestream Velocity of Fluid
Angle of Attack for Circulation developed on Airfoil
Go Angle of Attack on Airfoil = asin(Circulation on Airfoil/(pi*Velocity of Airfoil*Chord Length of Airfoil))
Velocity of Airfoil for Circulation developed on Airfoil
Go Velocity of Airfoil = Circulation on Airfoil/(pi*Chord Length of Airfoil*sin(Angle of Attack on Airfoil))
Chord Length for Circulation developed on Airfoil
Go Chord Length of Airfoil = Circulation on Airfoil/(pi*Velocity of Airfoil*sin(Angle of Attack on Airfoil))
Circulation developed on Airfoil
Go Circulation on Airfoil = pi*Velocity of Airfoil*Chord Length of Airfoil*sin(Angle of Attack on Airfoil)
Radius of Cylinder for Lift Coefficient in Rotating Cylinder with Circulation
Go Radius of Rotating Cylinder = Circulation Around Cylinder/(Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)
Lift Coefficient for Rotating Cylinder with Circulation
Go Lift Coefficient for Rotating Cylinder = Circulation Around Cylinder/(Radius of Rotating Cylinder*Freestream Velocity of Fluid)
Tangential Velocity of Cylinder with Lift Coefficient
Go Tangential Velocity of Cylinder in Fluid = (Lift Coefficient for Rotating Cylinder*Freestream Velocity of Fluid)/(2*pi)
Lift Coefficient for Rotating Cylinder with Tangential Speed
Go Lift Coefficient for Rotating Cylinder = (2*pi*Tangential Velocity of Cylinder in Fluid)/Freestream Velocity of Fluid
Circulation for Single Stagnation Point
Go Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Angle of Attack for Lift Coefficient on Airfoil
Go Angle of Attack on Airfoil = asin(Lift Coefficient for Airfoil/(2*pi))
Coefficient of Lift for Airfoil
Go Lift Coefficient for Airfoil = 2*pi*sin(Angle of Attack on Airfoil)

Circulation for Single Stagnation Point Formula

Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Γc = 4*pi*V*R

What is a stagnation point?

In fluid dynamics, a stagnation point is a point in a flow field where the local velocity of the fluid is zero. Stagnation points exist at the surface of objects in the flow field, where the fluid is brought to rest by the object.

What is circulation in fluid mechanics?

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.

How to Calculate Circulation for Single Stagnation Point?

Circulation for Single Stagnation Point calculator uses Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder to calculate the Circulation Around Cylinder, The Circulation for single stagnation point formula is known while considering the terms freestream velocity and the radius of the cylinder. Circulation Around Cylinder is denoted by Γc symbol.

How to calculate Circulation for Single Stagnation Point using this online calculator? To use this online calculator for Circulation for Single Stagnation Point, enter Freestream Velocity of Fluid (V) & Radius of Rotating Cylinder (R) and hit the calculate button. Here is how the Circulation for Single Stagnation Point calculation can be explained with given input values -> 243.1593 = 4*pi*21.5*0.9.

FAQ

What is Circulation for Single Stagnation Point?
The Circulation for single stagnation point formula is known while considering the terms freestream velocity and the radius of the cylinder and is represented as Γc = 4*pi*V*R or Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder. 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 & Radius of rotating cylinder is the radius of the cylinder rotating between the flowing fluid.
How to calculate Circulation for Single Stagnation Point?
The Circulation for single stagnation point formula is known while considering the terms freestream velocity and the radius of the cylinder is calculated using Circulation Around Cylinder = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder. To calculate Circulation for Single Stagnation Point, you need Freestream Velocity of Fluid (V) & Radius of Rotating Cylinder (R). With our tool, you need to enter the respective value for Freestream Velocity of Fluid & Radius of 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 Circulation Around Cylinder?
In this formula, Circulation Around Cylinder uses Freestream Velocity of Fluid & Radius of Rotating Cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
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