A prediction method for velocity and temperature profiles in a twodimensional nominally steady turbulent boundary layer
Abstract
This paper describes a recently developed boundarylayer prediction method for a variable property compressible flow, in which heat transfer takes place primarily by forced convection and for which the mainstream Mach number is small. The leading order terms, in asymptotic expansions for large Reynolds numbers, are obtained for the mean velocity and temperature distribution in both the inner and outer layer of the turbulent boundary layer. Closure in the inner layer is achieved using an analytical model for the mean profiles which is based on the observed coherent structure of the timedependent inner layer flow. For the outer layer, simple eddy viscosity and conductivity models are developed without recourse to the Reynolds analogy. In the prediction method a numerical solution of the outer layer equations is matched to the analytical inner layer profiles as the computation procedes downstream. Calculations are presented for a range of adverse and favorable pressure gradient flows and the predicted results compare well with existing data.
 Publication:

Turbulent Boundary Layers: Forced, Incompressible, NonReacting
 Pub Date:
 1979
 Bibcode:
 1979tblf.proc..221W
 Keywords:

 Prediction Analysis Techniques;
 Temperature Distribution;
 Turbulent Boundary Layer;
 Two Dimensional Flow;
 Velocity Distribution;
 Compressible Flow;
 Differential Equations;
 Eddy Viscosity;
 Heat Transfer;
 Mach Number;
 Pressure Gradients;
 Steady Flow;
 Wall Flow;
 Fluid Mechanics and Heat Transfer