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Strouhal Vortex Shedding Aeolian Tone Calculator

When wind flows past a bluff body such as an overhead transmission line or bridge cable, alternate vortex shedding in the wake produces an audible whistling sound known as an Aeolian tone.

Wind velocity perpendicular to the cylinder/wire.

Diameter of the wire, cable, or cylindrical strut.

Air kinematic viscosity (default 1.5×10⁻⁵ m²/s).

Speed of sound in air (default 343 m/s at 20°C).

Calculated Result
118.7 Hz

Vortex Shedding Aeolian Frequency (fs)

Acoustic Wavelength (λ)

2.89 m

Strouhal Number (St)

0.198

Reynolds Number (Re)

2.50e+4

Audibility Classification

Audible Tone / Singing Wire

Calculation Breakdown

  1. Crossflow Reynolds NumberRe = (U·D)/ν = (15 · 0.025) / 1.50e-5 = 2.50e+4
  2. Strouhal NumberSt ≈ 0.198
  3. Shedding Frequencyfs = St · U / D = (0.198 · 15) / 0.025 = 118.7 Hz

What Is the Strouhal Vortex Shedding Aeolian Tone Calculator?

An Aeolian tone is the acoustic noise produced by the periodic shedding of vortices from opposite sides of a cylinder into a Von Kármán vortex street.

Named after Aeolus, the Greek ruler of the winds, it creates the singing hum of overhead power lines and antenna wires.

How Does the Strouhal Vortex Shedding Aeolian Tone Calculator Work?

Each shed vortex exerts an alternating aerodynamic dipole lift force on the cylinder.

The frequency scales directly with wind velocity and inversely with cable diameter: fs = St · U / D.

Strouhal Vortex Shedding Aeolian Tone Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

f_s = \frac{St \cdot U}{D}, \quad Re = \frac{U D}{\nu}, \quad St \approx 0.198\left(1 - \frac{19.7}{Re}\right)

Strouhal number correlation for circular cylinder Kármán vortex shedding.

How to Use the Strouhal Vortex Shedding Aeolian Tone Calculator

  1. Input wind velocity, cylinder diameter, and viscosity.
  2. Review shedding frequency in Hz, acoustic wavelength, and audibility category.

Step-by-Step Example Calculation

Singing Telephone Wire in 15 m/s Wind

Input Values:

flowVelocityMPerS:15
cylinderDiameterMeters:0.005
kinematicViscosityM2PerS:0.000015
speedOfSoundMPerS:343
Worked Steps: Generates ~590 Hz audible tone (~D5 musical note).

Understanding Your Result

Thinner cables emit high-pitched musical tones, while large industrial chimneys shed low infrasonic pulses.

Factors That Affect the Result

  • For circular cylinders in subcritical Reynolds numbers (300 < Re < 10⁵), St remains nearly constant at ~0.20–0.21.

When Should You Use This Calculator?

  • Aeroacoustic design of car side mirrors, architectural cable noise mitigation, and power transmission line vibration sizing.

Assumptions & Limitations

  • Applies to smooth, isolated circular cylinders in uniform perpendicular crossflow.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard aeroacoustic empirical correlation matching experimental wind tunnel measurements.

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