Diameter of Cylinder given Strouhal Number Calculator

✖Strouhal Number is a dimensionless number describing oscillating flow mechanisms.ⓘ Strouhal Number [S]			+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 Frequency of Vortex Shedding is defined as a dimensionless ratio that relates the wind velocity and the pipe diameter to the forcing frequency.ⓘ Frequency of Vortex Shedding [n]			+10% -10%

✖Diameter of cylinder with vortex is the diameter of the internal surface of the cylinder having a vortex fluid flow.ⓘ Diameter of Cylinder given Strouhal Number [D_vortex]

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Diameter of Cylinder given Strouhal Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding
D_vortex = (S*V_∞)/n
This formula uses 4 Variables

Variables Used

Diameter of Cylinder with Vortex - (Measured in Meter) - Diameter of cylinder with vortex is the diameter of the internal surface of the cylinder having a vortex fluid flow.
Strouhal Number - Strouhal Number is a dimensionless number describing oscillating flow mechanisms.
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.
Frequency of Vortex Shedding - (Measured in Hertz) - The Frequency of Vortex Shedding is defined as a dimensionless ratio that relates the wind velocity and the pipe diameter to the forcing frequency.

STEP 1: Convert Input(s) to Base Unit

Strouhal Number: 0.061 --> No Conversion Required
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required
Frequency of Vortex Shedding: 1.56 Hertz --> 1.56 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_vortex = (S*V_∞)/n --> (0.061*21.5)/1.56

Evaluating ... ...

D_vortex = 0.840705128205128

STEP 3: Convert Result to Output's Unit

0.840705128205128 Meter --> No Conversion Required

FINAL ANSWER

0.840705128205128 ≈ 0.840705 Meter <-- Diameter of Cylinder with Vortex

(Calculation completed in 00.004 seconds)

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LaTeX Go Length of Cylinder in Fluid Flow = Lift Force on Rotating Cylinder/(Density of Fluid Circulating*Circulation Around Cylinder*Freestream Velocity of Fluid)

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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)

Diameter of Cylinder given Strouhal Number Formula

LaTeX Go

Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding
D_vortex = (S*V_∞)/n

What is the Strouhal number used for?

The Strouhal Number can be important when analyzing unsteady, oscillating flow problems. The Strouhal Number represents a measure of the ratio of the inertial forces due to the unsteadiness of the flow or local acceleration to the inertial forces due to changes in velocity from one point to an other in the flow field.

What is the vortex shedding effect?

Vortex shedding is a phenomenon when the wind blows across a structural member, vortices are shed alternately from one side to the other, and where alternating low-pressure zones are generated on the downwind side of the structure giving rise to a fluctuating force acting at right angles to the wind direction .

How to Calculate Diameter of Cylinder given Strouhal Number?

Diameter of Cylinder given Strouhal Number calculator uses Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding to calculate 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 calculate Diameter of Cylinder given Strouhal Number using this online calculator? To use this online calculator 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. Here is how the Diameter of Cylinder given Strouhal Number calculation can be explained with given input values -> 0.840705 = (0.061*21.5)/1.56.

FAQ

What is Diameter of Cylinder given Strouhal Number?

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 and is represented as D_vortex = (S*V_∞)/n or Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding. Strouhal Number is a dimensionless number describing oscillating flow mechanisms, 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 Frequency of Vortex Shedding is defined as a dimensionless ratio that relates the wind velocity and the pipe diameter to the forcing frequency.

How to calculate Diameter of Cylinder given Strouhal Number?

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 is calculated using Diameter of Cylinder with Vortex = (Strouhal Number*Freestream Velocity of Fluid)/Frequency of Vortex Shedding. To calculate Diameter of Cylinder given Strouhal Number, you need Strouhal Number (S), Freestream Velocity of Fluid (V_∞) & Frequency of Vortex Shedding (n). With our tool, you need to enter the respective value for Strouhal Number, Freestream Velocity of Fluid & Frequency of Vortex Shedding 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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