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arxiv: 0806.2906 · v1 · submitted 2008-06-18 · ⚛️ physics.flu-dyn

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

classification ⚛️ physics.flu-dyn
keywords turbulenceattemptsbeencascadecorrelationcriticalcriticallyderivative
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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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