Strouhal number Calculator

✖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 with Vortex [D_vortex]			+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%

✖Strouhal Number is a dimensionless number describing oscillating flow mechanisms.ⓘ Strouhal number [S]

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Formula

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Strouhal number

Formula

`"S" = ("n"*"D"_{"vortex"})/"V"_{"∞"}`

Example

`"0.061674"=("1.56Hz"*"0.85m")/"21.5m/s"`

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Strouhal number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Strouhal Number - Strouhal Number is a dimensionless number describing oscillating flow mechanisms.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Frequency of Vortex Shedding: 1.56 Hertz --> 1.56 Hertz No Conversion Required
Diameter of Cylinder with Vortex: 0.85 Meter --> 0.85 Meter No Conversion Required
Freestream Velocity of Fluid: 21.5 Meter per Second --> 21.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (n*D_vortex)/V_∞ --> (1.56*0.85)/21.5

Evaluating ... ...

S = 0.0616744186046512

STEP 3: Convert Result to Output's Unit

0.0616744186046512 --> No Conversion Required

FINAL ANSWER

0.0616744186046512 ≈ 0.061674 <-- Strouhal Number

(Calculation completed in 00.004 seconds)

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< 9 Fluid Parameters and Characteristics Calculators

Freestream Velocity for Lift Coefficient in Rotating Cylinder with Circulation

Go Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)

Freestream velocity for lift coefficient with tangential speed

Go Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder

Buoyant force acting on spherical ball

Go Buoyant Force on Spherical Ball in Water = Water Density*Acceleration Due to Gravity*Volume of Small Spherical Ball

Free Stream Velocity given Strouhal Number

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

Frequency of vortex shedding

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

Strouhal number

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

Freestream Velocity for single Stagnation Point

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

Tangential velocity for single stagnation point

Go Tangential Velocity of Cylinder in Fluid = 2*Freestream Velocity of Fluid

Strouhal number for cylinders

Go Strouhal Number = 0.20*(1-(20/Reynolds Number))

Strouhal number Formula

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

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 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 Strouhal number?

Strouhal number calculator uses Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of Fluid to calculate the Strouhal Number, The Strouhal number formula is defined as 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 another in the flow field. Strouhal Number is denoted by S symbol.

How to calculate Strouhal number using this online calculator? To use this online calculator for Strouhal number, enter Frequency of Vortex Shedding (n), Diameter of Cylinder with Vortex (D_vortex) & Freestream Velocity of Fluid (V_∞) and hit the calculate button. Here is how the Strouhal number calculation can be explained with given input values -> 0.061674 = (1.56*0.85)/21.5.

FAQ

What is Strouhal number?

The Strouhal number formula is defined as 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 another in the flow field and is represented as S = (n*D_vortex)/V_∞ or Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of 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, Diameter of cylinder with vortex is the diameter of the internal surface of the cylinder having a vortex fluid flow & 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.

How to calculate Strouhal number?

The Strouhal number formula is defined as 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 another in the flow field is calculated using Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of Fluid. To calculate Strouhal number, you need Frequency of Vortex Shedding (n), Diameter of Cylinder with Vortex (D_vortex) & Freestream Velocity of Fluid (V_∞). With our tool, you need to enter the respective value for Frequency of Vortex Shedding, Diameter of Cylinder with Vortex & Freestream Velocity of Fluid 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 Strouhal Number?

In this formula, Strouhal Number uses Frequency of Vortex Shedding, Diameter of Cylinder with Vortex & Freestream Velocity of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Strouhal Number = 0.20*(1-(20/Reynolds Number))

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