Isotropic Turbulence and InertialRange Structure
Abstract
The abridged LagrangianHistory Direct Interaction closure approximation is interpreted physically and used to analyze energy transfer, effective eddy viscosities, and Lagrangian spacetime statistics in stationary and decaying isotropic turbulence. The results are then specialized to the inertial range. Numerical values are predicted for the Kolmogorov constant, the asymptotic eddy viscosities due to inertialrange wavenumbers, and the dimensionless constant in Inoue's formula for the meansquare change of Lagrangian velocity with time. Computed curves are presented for the localness of energy transfer, for Lagrangian spacetime structure functions, and for Lagrangian spacetime accelerationacceleration and velocityacceleration covariances. The Kolmogorov dissipation spectrum is computed, and the predicted spectra for the inertial and dissipation ranges are compared with experiment.
 Publication:

Physics of Fluids
 Pub Date:
 September 1966
 DOI:
 10.1063/1.1761928
 Bibcode:
 1966PhFl....9.1728K