An approximate wall turbulence theory
Abstract
The turbulent flow of a viscous incompressible fluid along a boundless plane on which the noslip condition is placed is discussed, assuming that the mean friction stress is given and that viscosity does not influence at infinity the mean and largescale pulsation characteristics of the flow. The mean velocity profile in the entire region of the flow is calculated, without recourse to empirical data, by determining the pulsating motion in the viscous zone and by smoothly coupling the solution with the asymptotic relations away from the wall. The calculations are based on the NavierStokes equation for the pulsating and mean motion. The solution is obtained in a monoharmonic approximation.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 March 1976
 Bibcode:
 1976DoSSR.227...67G
 Keywords:

 Incompressible Fluids;
 Turbulent Flow;
 Unsteady Flow;
 Viscous Flow;
 Wall Flow;
 Asymptotic Methods;
 NavierStokes Equation;
 Numerical Analysis;
 Slip Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer