Radius of Cylinder for location of Stagnation Points 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%
✖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%
✖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%

✖Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.ⓘ Radius of Cylinder for location of Stagnation Points [R]

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Radius of Cylinder for location of Stagnation Points Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point))))
R = -(Γ_c/(4*pi*V_∞*(sin(θ))))
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

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

STEP 1: Convert Input(s) to Base Unit

Circulation Around Cylinder: 243 Square Meter per Second --> 243 Square Meter per Second No Conversion Required
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
Angle at Stagnation Point: 270 Degree --> 4.7123889803838 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = -(Γ_c/(4*pi*V_∞*(sin(θ)))) --> -(243/(4*pi*21.5*(sin(4.7123889803838))))

Evaluating ... ...

R = 0.899410492356525

STEP 3: Convert Result to Output's Unit

0.899410492356525 Meter --> No Conversion Required

FINAL ANSWER

0.899410492356525 ≈ 0.89941 Meter <-- Radius of Rotating Cylinder

(Calculation completed in 00.004 seconds)

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< Cylinder Properties Calculators

Length of Cylinder for Lift Force on Cylinder

LaTeX 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

LaTeX 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

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

Circulation for rotating cylinders

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

Radius of Cylinder for location of Stagnation Points Formula

LaTeX Go

Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point))))
R = -(Γ_c/(4*pi*V_∞*(sin(θ))))

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 Radius of Cylinder for location of Stagnation Points?

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

How to calculate Radius of Cylinder for location of Stagnation Points using this online calculator? To use this online calculator for Radius of Cylinder for location of Stagnation Points, enter Circulation Around Cylinder (Γ_c), Freestream Velocity of Fluid (V_∞) & Angle at Stagnation Point (θ) and hit the calculate button. Here is how the Radius of Cylinder for location of Stagnation Points calculation can be explained with given input values -> 0.89941 = -(243/(4*pi*21.5*(sin(4.7123889803838)))).

FAQ

What is Radius of Cylinder for location of Stagnation Points?

The Radius of cylinder for location of stagnation points formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and angle for finding the location of stagnation point and is represented as R = -(Γ_c/(4*pi*V_∞*(sin(θ)))) or Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point)))). Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a 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 & The Angle at Stagnation Point gives the location of the stagnation points on the surface of the cylinder.

How to calculate Radius of Cylinder for location of Stagnation Points?

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

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

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

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