THE EFFECTS OF PRESSURE GRADIENTS ON TURBULENT FLOW NEAR A SMOOTH WALL.
PRINCETON UNIV N J
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A dimensional argument is presented leading to a functional form for the effective viscosity which embraces the hypothesis of a previous paper Mellor and Gibson, 1963 hereafter referenced as paper A in the overlap and outer regions of a turbulent boundary layer. The new argument also suggests a way of determining the effective viscosity in the viscous sublayer when the flow is subjected to main stream pressure gradients. This information is used to calculate velocity profiles near the wall and, in particular, to demonstrate deviations from the logarithmic law of the wall when the wall layer parameter is excessively large. Detailed knowledge of the velocity profiles near the wall enables us to eliminate an assumption in paper A relating to near separating flows. Author