NEW SCALING LAWS IN ZPG TURBULENT BOUNDARY LAYER FLOWGeorge Khujadze AbstractLie group or symmetry approach applied to turbulence as developed by Oberlack (see e.g. Oberlack (2001) and references therein) is used to derive new scaling laws for various statistical quantities of a zero pressure gradient (ZPG) turbulent boundary layer flow. From the two-point correlation (TPC) equations the knowledge of the symmetries allows us to derive a variety of invariant solutions (scaling laws) for turbulent flows, one of which is the new exponential mean velocity profile that is found in the mid-wake region of flatplate boundary layers. Further, a third scaling group was found in the TPC equations for the one-dimensional turbulent boundary layer. This is in contrast to the Navier-Stokes and Euler equations which has one and two scaling groups respectively. |
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