Free Stream Velocity given 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%
✖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.ⓘ Free Stream Velocity given Strouhal Number [V_∞]

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Formula

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Free Stream Velocity given Strouhal Number

Formula

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

Example

`"21.7377m/s"=("1.56Hz"*"0.85m")/"0.061"`

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Free Stream Velocity given Strouhal Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Strouhal Number: 0.061 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = (n*D_vortex)/S --> (1.56*0.85)/0.061

Evaluating ... ...

V_∞ = 21.7377049180328

STEP 3: Convert Result to Output's Unit

21.7377049180328 Meter per Second --> No Conversion Required

FINAL ANSWER

21.7377049180328 ≈ 21.7377 Meter per Second <-- Freestream Velocity of Fluid

(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))

Free Stream Velocity given Strouhal Number Formula

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

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 free stream velocity?

Free stream velocity was defined as the average between the channel entry velocity and the average velocity.

How to Calculate Free Stream Velocity given Strouhal Number?

Free Stream Velocity given Strouhal Number calculator uses Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number to calculate the Freestream Velocity of Fluid, The Free Stream Velocity given Strouhal Number formula is defined as the average between the channel entry velocity and the average velocity. Freestream Velocity of Fluid is denoted by V_∞ symbol.

How to calculate Free Stream Velocity given Strouhal Number using this online calculator? To use this online calculator for Free Stream Velocity given Strouhal Number, enter Frequency of Vortex Shedding (n), Diameter of Cylinder with Vortex (D_vortex) & Strouhal Number (S) and hit the calculate button. Here is how the Free Stream Velocity given Strouhal Number calculation can be explained with given input values -> 21.7377 = (1.56*0.85)/0.061.

FAQ

What is Free Stream Velocity given Strouhal Number?

The Free Stream Velocity given Strouhal Number formula is defined as the average between the channel entry velocity and the average velocity and is represented as V_∞ = (n*D_vortex)/S or Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number. 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 & Strouhal Number is a dimensionless number describing oscillating flow mechanisms.

How to calculate Free Stream Velocity given Strouhal Number?

The Free Stream Velocity given Strouhal Number formula is defined as the average between the channel entry velocity and the average velocity is calculated using Freestream Velocity of Fluid = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Strouhal Number. To calculate Free Stream Velocity given Strouhal Number, you need Frequency of Vortex Shedding (n), Diameter of Cylinder with Vortex (D_vortex) & Strouhal Number (S). With our tool, you need to enter the respective value for Frequency of Vortex Shedding, Diameter of Cylinder with Vortex & Strouhal Number 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 Freestream Velocity of Fluid?

In this formula, Freestream Velocity of Fluid uses Frequency of Vortex Shedding, Diameter of Cylinder with Vortex & Strouhal Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Freestream Velocity of Fluid = Circulation Around Cylinder/(Radius of Rotating Cylinder*Lift Coefficient for Rotating Cylinder)
Freestream Velocity of Fluid = (2*pi*Tangential Velocity of Cylinder in Fluid)/Lift Coefficient for Rotating Cylinder
Freestream Velocity of Fluid = Circulation Around Cylinder/(4*pi*Radius of Rotating Cylinder)

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