ABSTRACT: Dynamic statistical equations for the turbulent fluxes of scalars and momentum in incompressible flows are derived after time wise integration equation oscillating transported property, decomposing terms representing distinct features main fluctuating flow that influence respective transport. These expressions provide a means discussing gradient diffusion hypothesis transport, reconsidering mixed length model entirely continuous terms, seeking possible alternatives or corrections. Applying this methodology to transport flux kinetic energy, two dominating found: one identified with energy shear layers; other related velocity gradient. Accordingly, composed, Statistical is proposed layers, adding derivative term Daly Harlow's generalized model. This calibrated nearly homogeneous flow, resulting proved superior models channel boundary layer flows.

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