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## Free stream velocity in terms of strouhal number Solution

STEP 0: Pre-Calculation Summary
Formula Used
free_stream_velocity = (Frequency of vortex shedding*Diameter of cylinder)/Strouhal number
u∞ = (n*D)/S
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)
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 Hertz --> 1 Hertz No Conversion Required
Diameter of cylinder: 1 Centimeter --> 0.01 Meter (Check conversion here)
Strouhal number: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u∞ = (n*D)/S --> (1*0.01)/0.2
Evaluating ... ...
u∞ = 0.05
STEP 3: Convert Result to Output's Unit
0.05 Meter per Second --> No Conversion Required
0.05 Meter per Second <-- Free stream velocity
(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

### Free stream velocity in terms of strouhal number Formula

free_stream_velocity = (Frequency of vortex shedding*Diameter of cylinder)/Strouhal number
u∞ = (n*D)/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 in terms of strouhal number?

Free stream velocity in terms of strouhal number calculator uses free_stream_velocity = (Frequency of vortex shedding*Diameter of cylinder)/Strouhal number to calculate the Free stream velocity, The Free stream velocity in terms of strouhal number formula is defined as the average between the channel entry velocity and the average velocity. Free stream velocity is denoted by u∞ symbol.

How to calculate Free stream velocity in terms of strouhal number using this online calculator? To use this online calculator for Free stream velocity in terms of strouhal number, enter Frequency of vortex shedding (n), Diameter of cylinder (D) & Strouhal number (S) and hit the calculate button. Here is how the Free stream velocity in terms of strouhal number calculation can be explained with given input values -> 0.05 = (1*0.01)/0.2.

### FAQ

What is Free stream velocity in terms of strouhal number?
The Free stream velocity in terms of strouhal number formula is defined as the average between the channel entry velocity and the average velocity and is represented as u∞ = (n*D)/S or free_stream_velocity = (Frequency of vortex shedding*Diameter of cylinder)/Strouhal number. 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 & Strouhal number is a dimensionless number describing oscillating flow mechanisms.
How to calculate Free stream velocity in terms of strouhal number?
The Free stream velocity in terms of strouhal number formula is defined as the average between the channel entry velocity and the average velocity is calculated using free_stream_velocity = (Frequency of vortex shedding*Diameter of cylinder)/Strouhal number. To calculate Free stream velocity in terms of strouhal number, you need Frequency of vortex shedding (n), Diameter of cylinder (D) & Strouhal number (S). With our tool, you need to enter the respective value for Frequency of vortex shedding, Diameter of cylinder & 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 Free stream velocity?
In this formula, Free stream velocity uses Frequency of vortex shedding, Diameter of cylinder & Strouhal number. 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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