Coordinate transformation for laminar and turbulent boundary layers
Abstract
A composite transformation based entirely on fluid dynamics concepts is given for the simultaneous capture of the two turbulent length scales, i.e., the boundarylayer thickness and the walllayer thickness. The proposed approach involves the following principal steps: (1) a transformation is employed for the capture of the boundarylayer thickness using a turbulent generalization of the LevyLees variables; (2) a coordinate is established for the capture of a turbulent walllayer region; and (3) a composite coordinate is established using matching concepts. The utility of the approach is demonstrated through its application in a finitedifference solution of the boundarylayer equations in which the scheme is shown to be uniformly applicable to laminar, transitional, and turbulent flow.
 Publication:

AIAA Journal
 Pub Date:
 February 1982
 DOI:
 10.2514/3.7909
 Bibcode:
 1982AIAAJ..20..282C
 Keywords:

 Coordinate Transformations;
 Laminar Boundary Layer;
 Turbulent Boundary Layer;
 Finite Difference Theory;
 Flow Velocity;
 Grids;
 Fluid Mechanics and Heat Transfer