Application Of Zagarola/Smits Scaling InTurbulent Boundary Layers With PressureGradient

Abstract

The empirical velocity scale determined for zero pressure gradient turbulent boundary layers of Zagarola and Smits [1], t/oo(<J*/£), is derived for boundary layers with and without pressure gradient using similarity principles. This scaling is successful in removing the Reynolds number dependence of the outer mean velocity profiles. Even more interesting, it produces three profiles in turbulent boundary layers regardless of the strength of the pressure gradient: one for Adverse Pressure Gradient, APG, one for Favorable Pressure Gradient, FPG, and one for Zero Pressure Gradient, ZPG. These results have been shown to be consistent with Castillo and George [2] obtained by means of similarity analysis of the RANS equations.