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Strouhal number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strouhal_number = (Frequency of vortex shedding*Diameter of cylinder)/Freestream Velocity
S = (n*D)/V
This formula uses 3 Variables
Variables Used
Frequency of vortex shedding - Frequency of vortex shedding is defined as a dimensionless ratio that relates the wind velocity and the pipe diameter to the forcing frequency. (Measured in Hertz)
Diameter of cylinder - Diameter of cylinder is the maximum width of cylinder in transverse direction. (Measured in Centimeter)
Freestream Velocity - The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Frequency of vortex shedding: 1 Hertz --> 1 Hertz No Conversion Required
Diameter of cylinder: 1 Centimeter --> 0.01 Meter (Check conversion here)
Freestream Velocity: 100 Meter per Second --> 100 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (n*D)/V --> (1*0.01)/100
Evaluating ... ...
S = 0.0001
STEP 3: Convert Result to Output's Unit
0.0001 --> No Conversion Required
FINAL ANSWER
0.0001 <-- Strouhal number
(Calculation completed in 00.015 seconds)

10+ Forces on sub-merged bodies Calculators

Location of stagnation points for a rotating cylinder in a uniform flow field
angle_at_stagnation_point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius)) Go
Skin friction drag from total drag force on a sphere
skin_friction_drag_froce = 2*pi*Viscosity of fluid*Diameter of sphere*Flow Velocity Go
Area of the body for lift force in body moving on fluid
reference_area = Lift force/(Lift Coefficient*0.5*Density of Fluid*(Velocity^2)) Go
Pressure drag from total drag force on a sphere
pressure_drag_force = pi*Viscosity of fluid*Diameter of sphere*Flow Velocity Go
Drag force for a body moving in a fluid of certain density
drag_force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2 Go
Lift force on a cylinder for circulation
lift_force = Density*Length of Cylinder*Circulation*Freestream Velocity Go
Total drag force on a sphere
drag_force = 3*pi*Viscosity of fluid*Diameter of sphere*Flow Velocity Go
Length of the cylinder for lift force on a cylinder
length_cylinder = Lift force/(Density*Circulation*Freestream Velocity) Go
Lift force for a body moving in a fluid of certain density
lift_force_ = Lift Coefficient*Reference Area*Density*(Velocity^2)/2 Go
Radius of cylinder for lift coefficient in a rotating cylinder with circulation
radius_of_cylinder = Circulation/(Lift Coefficient*Freestream Velocity) Go

Strouhal number Formula

Strouhal_number = (Frequency of vortex shedding*Diameter of cylinder)/Freestream Velocity
S = (n*D)/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)/Freestream Velocity 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 (D) & Freestream Velocity (V) and hit the calculate button. Here is how the Strouhal number calculation can be explained with given input values -> 0.0001 = (1*0.01)/100.

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)/V or Strouhal_number = (Frequency of vortex shedding*Diameter of cylinder)/Freestream Velocity. 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 is the maximum width of cylinder in transverse direction & The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.
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)/Freestream Velocity. To calculate Strouhal number, you need Frequency of vortex shedding (n), Diameter of cylinder (D) & Freestream Velocity (V). With our tool, you need to enter the respective value for Frequency of vortex shedding, Diameter of cylinder & Freestream Velocity 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 & Freestream Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • drag_force = Coefficient of drag*Area of Surface*Density*(Velocity^2)/2
  • lift_force_ = Lift Coefficient*Reference Area*Density*(Velocity^2)/2
  • reference_area = Lift force/(Lift Coefficient*0.5*Density of Fluid*(Velocity^2))
  • drag_force = 3*pi*Viscosity of fluid*Diameter of sphere*Flow Velocity
  • skin_friction_drag_froce = 2*pi*Viscosity of fluid*Diameter of sphere*Flow Velocity
  • pressure_drag_force = pi*Viscosity of fluid*Diameter of sphere*Flow Velocity
  • lift_force = Density*Length of Cylinder*Circulation*Freestream Velocity
  • length_cylinder = Lift force/(Density*Circulation*Freestream Velocity)
  • radius_of_cylinder = Circulation/(Lift Coefficient*Freestream Velocity)
  • angle_at_stagnation_point = -asin(Circulation/(4*pi*Freestream Velocity*Cylinder Radius))
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