Scale-by-scale energy budget: Kolmogorov (1941)



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Scale-by-scale energy budget: Kolmogorov (1941)



For different REAL flows (moderate Reynolds, locally isotropic or anisotropic …)

  • For different REAL flows (moderate Reynolds, locally isotropic or anisotropic …)

  • Necessity to account for explicitly the non-negligible correlation between large-and small scales





































III. DESCRIPTION of the FLOW: fluctuating field; PIV for determining small scale properties

  • The other tests

  • 2-rd order SF with the Kolmogorov constant

  • Normalized dissipation which L? Attention to initial conditions versus universality .. However, a reliable test

  • for

  • The most reliable test is the 1—point energy budget equation, when the pressure-related terms might be neglected (point II).







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