Physics – Fluid Dynamics
Scientific paper
2001-02-16
Physics
Fluid Dynamics
17 pages, no figures
Scientific paper
Exact equations are derived that relate velocity structure functions of arbitrary order with other statistics. "Exact" means that no approximations are used except that the Navier-Stokes equation and incompressibility condition are assumed to be accurate. The exact equations are used to determine the structure-function equations of all orders for locally homogeneous but anisotropic turbulence as well as for the locally isotropic case. There equations can be used for investigating the approach to local homogeneity and to local isotropy as well as the balance of the equations and identification of scaling ranges.
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