Part of the Kolmogorov-Kraichnan-Batchelor theory of turbulence
concerns the average enstrophy flux across wave numbers.
To support that theory, rigorous relations involving
both the net and one-way flux are established using
ensemble averages in .
In this note we show that some of these relations hold recurrently, and
provide explicit estimates for the time intervals of recurrence
which are independent of the solution.