Abstract
Exact equations are given 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. The uses of these equations for investigating the approach to local
homogeneity as well as to local isotropy and the balance of the equations and
identification of scaling ranges are discussed. The implications for scaling exponents
and investigation of intermittency are briefly discussed.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
107 articles.
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