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Diameter of Cylinder given Strouhal Number Formula

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Diameter of cylinder with vortex is the diameter of the internal surface of the cylinder having a vortex fluid flow. Check FAQs

D vortex = \frac{S \cdot V ∞}{n}

D_vortex - Diameter of Cylinder with Vortex?S - Strouhal Number?V_∞ - Freestream Velocity of Fluid?n - Frequency of Vortex Shedding?

Diameter of Cylinder given Strouhal Number Example

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Here is how the Diameter of Cylinder given Strouhal Number equation looks like with Values.

Here is how the Diameter of Cylinder given Strouhal Number equation looks like with Units.

Here is how the Diameter of Cylinder given Strouhal Number equation looks like.

0.8407 = \frac{0.061 \cdot 21.5}{1.56}

0.8407m = \frac{0.061 \cdot 21.5m/s}{1.56Hz}

0.8407 = \frac{0.061 \cdot 21.5}{1.56}

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Diameter of Cylinder given Strouhal Number Solution

Follow our step by step solution on how to calculate Diameter of Cylinder given Strouhal Number?

FIRST Step Consider the formula

D vortex = \frac{S \cdot V ∞}{n}

Next Step Substitute values of Variables

∴

D vortex = \frac{0.061 \cdot 21.5m/s}{1.56Hz}

Next Step Prepare to Evaluate

∴

D vortex = \frac{0.061 \cdot 21.5}{1.56}

Next Step Evaluate

∴

D vortex = 0.840705128205128m

LAST Step Rounding Answer

∴

D vortex = 0.8407m

Diameter of Cylinder given Strouhal Number Formula Elements

Variables

Diameter of Cylinder with Vortex

Diameter of cylinder with vortex is the diameter of the internal surface of the cylinder having a vortex fluid flow.

Symbol: D_vortex

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder with Vortex

Strouhal Number

Strouhal Number is a dimensionless number describing oscillating flow mechanisms.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strouhal Number

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

Frequency of Vortex Shedding

The Frequency of Vortex Shedding is defined as a dimensionless ratio that relates the wind velocity and the pipe diameter to the forcing frequency.

Symbol: n

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency of Vortex Shedding

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 Length of Cylinder for Lift Force on Cylinder

I = \frac{F L}{ρ \cdot Γ c \cdot V ∞}

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

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

How to Evaluate Diameter of Cylinder given Strouhal Number?

Diameter of Cylinder given Strouhal Number evaluator uses Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding to evaluate the Diameter of Cylinder with Vortex, The Diameter of Cylinder given Strouhal Number formula is defined as the ratio of the product of strouhal number and freestream velocity to the frequency of vortex shedding. Diameter of Cylinder with Vortex is denoted by D_vortex symbol.

How to evaluate Diameter of Cylinder given Strouhal Number using this online evaluator? To use this online evaluator for Diameter of Cylinder given Strouhal Number, enter Strouhal Number (S), Freestream Velocity of Fluid (V_∞) & Frequency of Vortex Shedding (n) and hit the calculate button.

FAQs on Diameter of Cylinder given Strouhal Number

What is the formula to find Diameter of Cylinder given Strouhal Number?

The formula of Diameter of Cylinder given Strouhal Number is expressed as Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding. Here is an example- 0.840705 = (0.061*21.5)/1.56.

How to calculate Diameter of Cylinder given Strouhal Number?

With Strouhal Number (S), Freestream Velocity of Fluid (V_∞) & Frequency of Vortex Shedding (n) we can find Diameter of Cylinder given Strouhal Number using the formula - Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding.

Can the Diameter of Cylinder given Strouhal Number be negative?

No, the Diameter of Cylinder given Strouhal Number, measured in Length cannot be negative.

Which unit is used to measure Diameter of Cylinder given Strouhal Number?

Diameter of Cylinder given Strouhal Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Cylinder given Strouhal Number can be measured.

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Diameter of Cylinder given Strouhal Number Formula

Diameter of Cylinder given Strouhal Number Example

Diameter of Cylinder given Strouhal Number Solution

Diameter of Cylinder given Strouhal Number Formula Elements

Other formulas in Cylinder Properties category

How to Evaluate Diameter of Cylinder given Strouhal Number?

FAQs on Diameter of Cylinder given Strouhal Number

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