Abstract

By examining the asymptotic approach of turbulent flow to a surface, using a simplified second-order closure model of turbulent transport, the ‘law of the wall’ region is extended to include the influence of body forces in an equilibrium layer. The limit of large Reynolds number is considered so the flow is only a function of surface shear stress, surface roughness, and the nature of the body force. After development of the general formulation, application to two particular flows, a rotating flow adjacent to a stationary surface and the neutral planetary boundary layer, provide examples where the region of validity is an order of magnitude larger than the usual logarithmic wall layer.

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