A local similarity solution for the viscous boundary-layer flow longitudinal to a cylinder
Abstract
For an analysis of the problem of a uniform flow longitudinal to a semiinfinite constant-radius 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 boundary-layer thickness was only 15-25 percent over the entire solution domain, and the wall shear stress obtained from a local similarity solution of the boundary layer equations is within 2-5 percent of the difference-differential 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