Strouhal number for cylinders Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strouhal Number = 0.20*(1-(20/Reynolds Number))
S = 0.20*(1-(20/Re))
This formula uses 2 Variables
Variables Used
Strouhal Number - Strouhal Number is a dimensionless number describing oscillating flow mechanisms.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number: 5000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = 0.20*(1-(20/Re)) --> 0.20*(1-(20/5000))
Evaluating ... ...
S = 0.1992
STEP 3: Convert Result to Output's Unit
0.1992 --> No Conversion Required
FINAL ANSWER
0.1992 <-- 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 for cylinders Formula

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

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 Strouhal number for cylinders?

Strouhal number for cylinders calculator uses Strouhal Number = 0.20*(1-(20/Reynolds Number)) to calculate the Strouhal Number, The Strouhal number for cylinders 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 for cylinders using this online calculator? To use this online calculator for Strouhal number for cylinders, enter Reynolds Number (Re) and hit the calculate button. Here is how the Strouhal number for cylinders calculation can be explained with given input values -> 0.1992 = 0.20*(1-(20/5000)).

FAQ

What is Strouhal number for cylinders?
The Strouhal number for cylinders 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 = 0.20*(1-(20/Re)) or Strouhal Number = 0.20*(1-(20/Reynolds Number)). The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.
How to calculate Strouhal number for cylinders?
The Strouhal number for cylinders 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 = 0.20*(1-(20/Reynolds Number)). To calculate Strouhal number for cylinders, you need Reynolds Number (Re). With our tool, you need to enter the respective value for Reynolds 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 Strouhal Number?
In this formula, Strouhal Number uses Reynolds Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Strouhal Number = (Frequency of Vortex Shedding*Diameter of Cylinder with Vortex)/Freestream Velocity of Fluid
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