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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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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 1 Variables
Variables Used
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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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 00.000 seconds)

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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 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. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
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 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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