Circulation in Location of Stagnation Points Calculator

✖The Angle at Stagnation Point gives the location of the stagnation points on the surface of the cylinder.ⓘ Angle at Stagnation Point [θ]			+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 Rotating Cylinder [R]			+10% -10%

✖Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.ⓘ Circulation in Location of Stagnation Points [Γ_c]

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Circulation in Location of Stagnation Points Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Γ_c = -(sin(θ))*4*pi*V_∞*R
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
Angle at Stagnation Point - (Measured in Radian) - The Angle at Stagnation Point gives the location of the stagnation points on the surface of the 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

Angle at Stagnation Point: 270 Degree --> 4.7123889803838 Radian (Check conversion here)
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

Γ_c = -(sin(θ))*4*pi*V_∞*R --> -(sin(4.7123889803838))*4*pi*21.5*0.9

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 00.004 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)

Circulation in Location of Stagnation Points Formula

LaTeX Go

Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder
Γ_c = -(sin(θ))*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 in Location of Stagnation Points?

Circulation in Location of Stagnation Points calculator uses Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder to calculate the Circulation Around Cylinder, The Circulation in location of stagnation points formula is known while considering the terms freestream velocity, the radius of the cylinder, and the angle for finding the location of the stagnation point. Circulation Around Cylinder is denoted by Γ_c symbol.

How to calculate Circulation in Location of Stagnation Points using this online calculator? To use this online calculator for Circulation in Location of Stagnation Points, enter Angle at Stagnation Point (θ), Freestream Velocity of Fluid (V_∞) & Radius of Rotating Cylinder (R) and hit the calculate button. Here is how the Circulation in Location of Stagnation Points calculation can be explained with given input values -> 243.1593 = -(sin(4.7123889803838))*4*pi*21.5*0.9.

FAQ

What is Circulation in Location of Stagnation Points?

The Circulation in location of stagnation points formula is known while considering the terms freestream velocity, the radius of the cylinder, and the angle for finding the location of the stagnation point and is represented as Γ_c = -(sin(θ))*4*pi*V_∞*R or Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder. The Angle at Stagnation Point gives the location of the stagnation points on the surface of the 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 in Location of Stagnation Points?

The Circulation in location of stagnation points formula is known while considering the terms freestream velocity, the radius of the cylinder, and the angle for finding the location of the stagnation point is calculated using Circulation Around Cylinder = -(sin(Angle at Stagnation Point))*4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder. To calculate Circulation in Location of Stagnation Points, you need Angle at Stagnation Point (θ), Freestream Velocity of Fluid (V_∞) & Radius of Rotating Cylinder (R). With our tool, you need to enter the respective value for Angle at Stagnation Point, 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 Angle at Stagnation Point, 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 = 4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder

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