Module 2 :
Lecture 4 :
 


Ideas about eddy size

  • For a moderate velocity ( ~ 100 m/s), smallest eddy will be of the order of 0.5 mm
  • In gases under atmospheric conditions, mean free path is the range of 10 -4 mm
  • Turbulent frequencies vary between a few Hz and 10 kHz
  • Molecular collision frequency ~ 5 × 10 9 Hz (air)

Therefore turbulence is within continuum!

 

Large eddies:

Small eddies:

ν : dimension L2 / T ; dimension ( L2 / T 3 )

Dissipation

Velocity scale

 

Intensity of Turbulence or Degree of Turbulence

 

For isotropic turbulence,

(used in practice, even if the turbulence is not isotropic!)