Module 3: Velocity Measurement
  Lecture 15: Processing velocity vectors
 

The second term in the kinetic energy equationis the production of turbulent kinetic energy. With the symmetry assumption at the mid-plane of the test cell it becomes:

The third term indicates diffusion; under the assumption . It can be expressed as:

The fourth term is viscous dissipation. If local isotropy in velocity fluctuations is assumed, we get

Dissipation can also be calculated based on the assumption of locally axisymmetric turbulence and is equal to