The calculation of compressible transitional, turbulent, and relaminarizational boundary layers over smooth and rough surfaces using an extended mixinglength hypothesis
Abstract
Numerical calculations based on the compressible boundarylayer equations and an integral form of the kineticenergyofturbulence (IKET) equation are presented for a variety of conditions. The addition of the IKET equation permits the streamwise computation of an additional dependent variable normally taken as an empirical constant in conventional mixinglength formulations. A baseline turbulence model is developed and then modified to account for the effects of favorable and adverse pressure gradients, roughness, and transpiration. Examples given include adverse and favorable pressure gradients, relaminarization, acousticenergyinduced transition, surface roughness, and transpiration. The IKETbased extended mixinglength hypothesis is shown to be considerably more flexible than conventional mixinglength turbulence models.
 Publication:

Final Report
 Pub Date:
 February 1978
 Bibcode:
 1978aro..reptQ....H
 Keywords:

 Boundary Layer Flow;
 Boundary Layer Transition;
 Mathematical Models;
 Turbulent Boundary Layer;
 Compressible Flow;
 Partial Differential Equations;
 Pressure Gradients;
 Surface Roughness;
 Transpiration;
 Turbulence Models;
 Fluid Mechanics and Heat Transfer