SELF-CONSISTENT PERTURBATION SERIES FOR STATIONARY HOMOGENEOUS TURBULENCE

The procedure is developed for an incompressible fluid. It differs from the theories of Herring and Edwards in that the direct-interaction approximation is obtained in the first non-trivial approximation. It provides a simple means of obtaining equations relating the two-velocity correlation function and response function without necessitating the analysis of diagrams, representing terms of a perturbation series, of large order as required in the formalism of Wyld and Lee. The relation to the work of the authors mentioned is briefly discussed.