Enter the standard deviation of the wind speed and the mean wind speed into the calculator to determine the turbulence intensity. This calculator can also evaluate any of the variables given the others are known.

Turbulence Formula

The following formula is used to calculate the turbulence intensity.

TI = (σ / V) * 100

Variables:

  • TI is the turbulence intensity
  • σ is the standard deviation of the wind speed
  • V is the mean wind speed

To calculate the turbulence intensity, divide the standard deviation of the wind speed by the mean wind speed. Multiply the result by 100 to get the turbulence intensity in percentage.

What is a Turbulence?

Turbulence is a complex, chaotic phenomenon in fluid dynamics characterized by irregular fluctuations and mixing. It occurs when there is an unsteady and irregular flow of fluid, causing rapid variations in pressure and velocity. This can be observed in various natural and man-made systems such as in the atmosphere, oceans, rivers, and in engineering applications like aircraft wings, pipe flows, and combustion engines. Turbulence is considered a challenging problem in physics due to its unpredictability and the wide range of scales it encompasses.

How to Calculate Turbulence?

The following steps outline how to calculate the Turbulence Intensity (TI).


  1. First, determine the standard deviation of the wind speed (σ).
  2. Next, determine the mean wind speed (V).
  3. Next, use the formula TI = (σ / V) * 100 to calculate the Turbulence Intensity.
  4. Finally, calculate the Turbulence Intensity.
  5. After inserting the values of σ and V into the formula and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Standard deviation of the wind speed (σ) = 2.5

Mean wind speed (V) = 10