ON THE NONUNIQUENESS OF SOLUTIONS IN THE MODELING OF STEADY WIND FLOWS

The two-dimensional, steady, turbulent Navier-Stokes Equations are exp lored for the case of a logarithmic profile. A general, analytical sol ution technique is presented, using potential functions; it contains t wo arbitrary functions. Example solutions are derived with the symboli c manipulator Maple; they show various shear stress profiles derived f rom a single form for the velocity profile. These stress variations oc cur within an 'equilibrium profile' and are affected by boundary condi tions and upstream effects. Shear stress and dynamic roughness values derived from velocity profiles should be used with caution.