Thick axisymmetric turbulent boundary layer on a circular cylinder
Abstract
Two similarity laws for a thick, axisymmetric, turbulent boundary layer on a long circular cylinder are presented. In the lawofthewall region, the validity of the assumption of a constantstress moment is analyzed and a new logarithmic mixinglength model, which takes into account the transversecurvature effect on turbulence, is proposed. Using this mixinglength model, a law of the wall is derived which is given in terms of the exponential integral in the logarithmic portion. When the boundary layer is very thick relative to the radius of the cylinder, the flow in the outer region of the boundary layer is similar to an axisymmetric wake. With this analogy, a velocitydefect law is derived in terms of confluent hypergeometric functions known as Kummer functions. Both similarity laws are compared with the available data.
 Publication:

Journal of Hydronautics
 Pub Date:
 July 1979
 Bibcode:
 1979JHyn...13...92D
 Keywords:

 Axisymmetric Flow;
 Circular Cylinders;
 Numerical Analysis;
 Turbulent Boundary Layer;
 Boundary Layer Equations;
 Flow Velocity;
 Graphs (Charts);
 Momentum Theory;
 Shear Stress;
 Stress Distribution;
 Thickness;
 Velocity Distribution;
 Wall Flow;
 Fluid Mechanics and Heat Transfer