Skin friction coefficient
The skin friction coefficient, , is defined by:
Where is the local wall shear stress, is the fluid density and is the free-stream velocity (usually taken ouside of the boundary layer or at the inlet).
For a turbulent boundary layer several approximation formulas for the local skin friction can be used:
1/7 power law:
1/7 power law with experimental calibration (equation 21.12 in ):
(equation 21.12 in )
Schlichting (equation 21.16 footnote in )
Schultz-Grunov (equation 21.19a in ):
- Schlichting, Hermann (1979), Boundary Layer Theory, ISBN 0-07-055334-3, 7th Edition.
Someone should add more data about total skin friction approximations, Prandtl-Schlichting skin-friction formula, and the Karman-Schoenherr equation.