A critical note on one-eighth law in 2D turbulence

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

We critically revisit the various attempts to prove one eighth law in 2D
turbulence and reconcile them. Herein, the one-eight law has been proved for
unforced 2D incompressible high Reynolds number turbulence. An exact expression
of the time derivative of two-point second order velocity correlation function
is also derived for the enstrophy cascade dominated regime.

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