A local similarity solution for the viscous boundarylayer flow longitudinal to a cylinder
Abstract
For an analysis of the problem of a uniform flow longitudinal to a semiinfinite constantradius cylinder, a cylindrical coordinate transformation of the boundary layer equations is presented that substantially reduces the streamwise variation of the velocity profiles and the dimensionless boundary layer thickness. The use of the Blasius similarity variable further reduces the streamwise variation of the velocity profiles. The streamwise variation of the dimensionless boundarylayer thickness was only 1525 percent over the entire solution domain, and the wall shear stress obtained from a local similarity solution of the boundary layer equations is within 25 percent of the differencedifferential solution.
 Publication:

AIAA Journal
 Pub Date:
 May 1984
 DOI:
 10.2514/3.8661
 Bibcode:
 1984AIAAJ..22..717S
 Keywords:

 Boundary Layer Flow;
 Coordinate Transformations;
 Cylindrical Bodies;
 Incompressible Boundary Layer;
 Similarity Theorem;
 Viscous Flow;
 Boundary Layer Equations;
 Boundary Value Problems;
 Computational Fluid Dynamics;
 Differential Equations;
 Shear Stress;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer