Location of Stagnation points for Rotating Cylinder in Uniform Flow Field 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%
✖Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.ⓘ Radius of Rotating Cylinder [R]			+10% -10%

✖The Angle at Stagnation Point gives the location of the stagnation points on the surface of the cylinder.ⓘ Location of Stagnation points for Rotating Cylinder in Uniform Flow Field [θ]

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Location of Stagnation points for Rotating Cylinder in Uniform Flow Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi
θ = asin(Γ_c/(4*pi*V_∞*R))+pi
This formula uses 1 Constants, 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
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

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
Radius of Rotating Cylinder: 0.9 Meter --> 0.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(Γ_c/(4*pi*V_∞*R))+pi --> asin(243/(4*pi*21.5*0.9))+pi

Evaluating ... ...

θ = 4.67619284768343

STEP 3: Convert Result to Output's Unit

4.67619284768343 Radian -->267.926114361573 Degree (Check conversion here)

FINAL ANSWER

267.926114361573 ≈ 267.9261 Degree <-- Angle at Stagnation Point

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Statistics » Forces on Submerged Bodies » Mechanical » Cylinder Properties » Location of Stagnation points for Rotating Cylinder in Uniform Flow Field

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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)

Location of Stagnation points for Rotating Cylinder in Uniform Flow Field Formula

LaTeX Go

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

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 Location of Stagnation points for Rotating Cylinder in Uniform Flow Field?

Location of Stagnation points for Rotating Cylinder in Uniform Flow Field calculator uses Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi to calculate the Angle at Stagnation Point, The Location of stagnation points for rotating cylinder in uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder. Angle at Stagnation Point is denoted by θ symbol.

How to calculate Location of Stagnation points for Rotating Cylinder in Uniform Flow Field using this online calculator? To use this online calculator for Location of Stagnation points for Rotating Cylinder in Uniform Flow Field, enter Circulation Around Cylinder (Γ_c), Freestream Velocity of Fluid (V_∞) & Radius of Rotating Cylinder (R) and hit the calculate button. Here is how the Location of Stagnation points for Rotating Cylinder in Uniform Flow Field calculation can be explained with given input values -> 15351.04 = asin(243/(4*pi*21.5*0.9))+pi.

FAQ

What is Location of Stagnation points for Rotating Cylinder in Uniform Flow Field?

The Location of stagnation points for rotating cylinder in uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder and is represented as θ = asin(Γ_c/(4*pi*V_∞*R))+pi or Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi. 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 & Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.

How to calculate Location of Stagnation points for Rotating Cylinder in Uniform Flow Field?

The Location of stagnation points for rotating cylinder in uniform flow field formula is known while considering the sin inverse with a ratio of circulation to the freestream velocity and the radius of the cylinder is calculated using Angle at Stagnation Point = asin(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*Radius of Rotating Cylinder))+pi. To calculate Location of Stagnation points for Rotating Cylinder in Uniform Flow Field, you need Circulation Around Cylinder (Γ_c), Freestream Velocity of Fluid (V_∞) & Radius of Rotating Cylinder (R). With our tool, you need to enter the respective value for Circulation Around Cylinder, 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.

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