Time and length scales of turbulence

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The length and time scales of turbulence must be considered when analysing turbulence measurements. The scales at which the turbulence subranges, both the viscous and inertial subrange, exist depend on the flow properties.


High wavenumber limit

For instance, the wavenumber (length scale) limits depend on the sought quantity [math]\displaystyle{ \varepsilon }[/math], and also the kinematic viscosity.

Low wavenumber limit

Timescales

Can use the equation [math]\displaystyle{ \tau=(L^2/\varepsilon)^{1/3} }[/math]