On the approximate representation of velocity and shear stress distributions in lowspeed boundary layers
Abstract
A method for the representation of mean shear stress and velocity profiles in low speed, laminar and turbulent boundary layers is described. It has a unique advantage over existing techniques in that the distributions of velocity and stress may be related by any turbulence model. This makes the profiles particularly useful as starting solutions for complex flow calculations. Two methods for obtaining the mean shear stress distribution are proposed. The first uses a near wall solution of the x momentum equation and an 'intermittency' or 'smoothing' function. The alternative approach represents the shear stress distribution using a power series with suitable boundary conditions specified at the wall and at the edge of the boundary layer. In both cases the velocity profiles are obtained by integrating the shear stress profiles using a turbulence model or by setting the turbulent Reynolds stresses to zero in the case of laminar flow. Velocity profiles, shear stress profiles and integral properties obtained from the technique are compared with experimental data and predictions from the CebeciSmith full field method. Predictions for laminar flow profiles are compared with the FalknerSkan solutions.
 Publication:

Ph.D. Thesis
 Pub Date:
 1990
 Bibcode:
 1990PhDT........63C
 Keywords:

 Boundary Layer Flow;
 Flow Distribution;
 Flow Equations;
 Laminar Flow;
 Mathematical Models;
 Shear Stress;
 Stress Distribution;
 Velocity Distribution;
 Computational Fluid Dynamics;
 Equations Of Motion;
 Laminar Boundary Layer;
 Momentum;
 Reynolds Number;
 Turbulent Boundary Layer;
 Fluid Mechanics and Heat Transfer