A modified version of Karman's theory for calculating shear turbulence
Abstract
A version of Karman's theory is proposed which is based on the same principal rheological formula for tangent stresses but employs a different boundary condition. Instead of the requirement that the derivative of the mean flow velocity tend to infinity at the rigid boundaries of the flow, the new boundary condition allows in a natural manner for the roughness of these boundaries and for the fluid viscosity in the boundary layer. The modified Karman theory proposed here yields results that are in good agreement with experimental data in the literature.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1984
 Bibcode:
 1984DoSSR.279..570L
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Shear Flow;
 Surface Roughness Effects;
 Turbulent Boundary Layer;
 Von Karman Equation;
 Annular Flow;
 Boundary Conditions;
 Boundary Value Problems;
 Couette Flow;
 Pipe Flow;
 Two Dimensional Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer