On the OLP prediction of the unstable modes of the flat plate turbulent boundary layer
Abstract
The Orr et al. (OLP) stability analysis is reformulated to yield profiles from hotwire velocity covariance data in the boundary layer of a flow over a flat plate. The proper orthogonal decomposition theorem (PODT) is used to maximize the mean square of the inner product of the velocity vector with a deterministic candidate vector function in Hilbert space. The OLP formulation couples the PODT for the eddy viscosity with a global extremum principle for the disturbance kinetic energy. Derivation of the governing equations is described analytically, as are the extraction of the mean velocity profile and the eddy viscosity. Finally, techniques for characterizing the dominant mode of the velocity field are introduced and applied to threedimensional flow over a flat plate. Good agreement is found between the predictions, using laboratory data, and the measured energy and threedimensional structures of the dominant eddies.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1981
 Bibcode:
 1981nmlt.proc..505W
 Keywords:

 Boundary Layer Stability;
 Flat Plates;
 Turbulent Boundary Layer;
 Two Dimensional Flow;
 Velocity Distribution;
 Vortices;
 Computational Fluid Dynamics;
 Eddy Viscosity;
 Flow Measurement;
 Flow Velocity;
 HotWire Flowmeters;
 Fluid Mechanics and Heat Transfer