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This paper proposes a simple new closure principle for turbulent shear flows.The turbulent flow field is divided into an outer and an inner region. Theinner region is made up of a log-law region and a wall layer. The wall layer isviewed in terms of the well known inrush-sweep-burst sequence observed since1967. It is modelled as a transient laminar sub-boundary layer, which obeys theStokes solution for an impulsively started flat plate. The wall layer may alsobe modelled with a steady state solution by adding a damping function to thelog-law.  Closure is achieved by matching the unsteady and steady state solutions atthe edge of the wall layer. This procedure in effect feeds information aboutthe transient coherent structures back into the time-averaged solution anddetermines theoretically the numerical coefficient of the logarithmic law ofthe wall  The method gives a new technique for writing accurate wall functions, validfor all Reynolds numbers, in computer fluid dynamics (CFD) programmes.  Keywords: Reynolds equations, modelling, closure technique, wall layer,log-law, CFD.

A Theoretical Closure for Turbulent Flows Near Walls