Homogeneous turbulence

The homogeneous turbulence belongs together with the isotropic turbulence to the simplest idealized flow forms, through which turbulent flows can be described in a simplified manner .

For homogeneous turbulence, all statistical properties of the flow (mean speed fluctuations) are the same everywhere in the flow field . In contrast to isotropic turbulence, there is only one translational invariance , i.e. H. an independence of the quantities from the position vector, but no rotational invariance, d. H. no independence from direction or rotation.

For the Reynolds normal stresses the following applies:

${\displaystyle {\overline {u'^{2}}}=C_{1}=konst.}$

${\displaystyle {\overline {w'^{2}}}=C_{2}=konst.}$

${\displaystyle {\overline {v'^{2}}}=C_{3}=konst.}$

The homogeneous turbulence can be approximately realized in the experiment with the help of a grid in the wind tunnel . When passing the grille, the flow turns into a turbulent movement.