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Radius of Cylinder for location of Stagnation Points Formula

GoRadius of Cylinder for Single Stagnation Point Formula

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Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid. Check FAQs

R = - (\frac{Γ c}{4 \cdot π \cdot V ∞ \cdot (\sin (θ))})

R - Radius of Rotating Cylinder?Γ_c - Circulation Around Cylinder?V_∞ - Freestream Velocity of Fluid?θ - Angle at Stagnation Point?π - Archimedes' constant?

Radius of Cylinder for location of Stagnation Points Example

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Here is how the Radius of Cylinder for location of Stagnation Points equation looks like with Values.

Here is how the Radius of Cylinder for location of Stagnation Points equation looks like with Units.

Here is how the Radius of Cylinder for location of Stagnation Points equation looks like.

0.8994 = - (\frac{243}{4 \cdot 3.1416 \cdot 21.5 \cdot (\sin (270))})

0.8994m = - (\frac{243m²/s}{4 \cdot 3.1416 \cdot 21.5m/s \cdot (\sin (270°))})

0.8994 = - (\frac{243}{4 \cdot 3.1416 \cdot 21.5 \cdot (\sin (270))})

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Radius of Cylinder for location of Stagnation Points Solution

Follow our step by step solution on how to calculate Radius of Cylinder for location of Stagnation Points?

FIRST Step Consider the formula

R = - (\frac{Γ c}{4 \cdot π \cdot V ∞ \cdot (\sin (θ))})

Next Step Substitute values of Variables

∴

R = - (\frac{243m²/s}{4 \cdot π \cdot 21.5m/s \cdot (\sin (270°))})

Next Step Substitute values of Constants

∴

R = - (\frac{243m²/s}{4 \cdot 3.1416 \cdot 21.5m/s \cdot (\sin (270°))})

Next Step Convert Units

∴

R = - (\frac{243m²/s}{4 \cdot 3.1416 \cdot 21.5m/s \cdot (\sin (4.7124rad))})

Next Step Prepare to Evaluate

∴

R = - (\frac{243}{4 \cdot 3.1416 \cdot 21.5 \cdot (\sin (4.7124))})

Next Step Evaluate

∴

R = 0.899410492356525m

LAST Step Rounding Answer

∴

R = 0.8994m

Radius of Cylinder for location of Stagnation Points Formula Elements

Variables

Constants

Functions

Radius of Rotating Cylinder

Radius of Rotating Cylinder is the radius of the cylinder rotating between the flowing fluid.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Rotating Cylinder

Circulation Around Cylinder

Circulation around Cylinder is a macroscopic measure of rotation for a finite area of the fluid around a rotating cylinder.

Symbol: Γ_c

Measurement: Momentum DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Circulation Around Cylinder

Freestream Velocity of Fluid

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.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Freestream Velocity of Fluid

Angle at Stagnation Point

The Angle at Stagnation Point gives the location of the stagnation points on the surface of the cylinder.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle at Stagnation Point

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Radius of Rotating Cylinder

Go Radius of Cylinder for Single Stagnation Point

R = \frac{Γ c}{4 \cdot π \cdot V ∞}

Other formulas in Cylinder Properties category

Go Circulation for Lift Force on Cylinder

Γ c = \frac{F L}{ρ \cdot I \cdot V ∞}

Go Circulation for rotating cylinders

Γ c = (2 \cdot π \cdot R \cdot v t)

Go Diameter of Cylinder given Strouhal Number

D vortex = \frac{S \cdot V ∞}{n}

Go Length of Cylinder for Lift Force on Cylinder

I = \frac{F L}{ρ \cdot Γ c \cdot V ∞}

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

Radius of Cylinder for location of Stagnation Points evaluator uses Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point)))) to evaluate 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 evaluate Radius of Cylinder for location of Stagnation Points using this online evaluator? To use this online evaluator 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.

FAQs on Radius of Cylinder for location of Stagnation Points

What is the formula to find Radius of Cylinder for location of Stagnation Points?

The formula of Radius of Cylinder for location of Stagnation Points is expressed as Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point)))). Here is an example- 0.89941 = -(243/(4*pi*21.5*(sin(4.7123889803838)))).

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

With Circulation Around Cylinder (Γ_c), Freestream Velocity of Fluid (V_∞) & Angle at Stagnation Point (θ) we can find Radius of Cylinder for location of Stagnation Points using the formula - Radius of Rotating Cylinder = -(Circulation Around Cylinder/(4*pi*Freestream Velocity of Fluid*(sin(Angle at Stagnation Point)))). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Radius of Rotating Cylinder?

Here are the different ways to Calculate Radius of Rotating Cylinder-

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

Can the Radius of Cylinder for location of Stagnation Points be negative?

No, the Radius of Cylinder for location of Stagnation Points, measured in Length cannot be negative.

Which unit is used to measure Radius of Cylinder for location of Stagnation Points?

Radius of Cylinder for location of Stagnation Points is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Cylinder for location of Stagnation Points can be measured.

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Radius of Cylinder for location of Stagnation Points Formula

​GoRadius of Cylinder for Single Stagnation Point Formula

Radius of Cylinder for location of Stagnation Points Example

Radius of Cylinder for location of Stagnation Points Solution

Radius of Cylinder for location of Stagnation Points Formula Elements

Other Formulas to find Radius of Rotating Cylinder

Other formulas in Cylinder Properties category

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

FAQs on Radius of Cylinder for location of Stagnation Points

Variable Name

GoRadius of Cylinder for Single Stagnation Point Formula