Self-Similar Intermediate Structures in Turbulent Boundary Layers At Large Reynolds Numbers

pipe ows,obtainedbyNikuradze(1932),undertheguidanceofPrandtlathisInstituteinG¨ottingen.Thecomparisonhasyieldedthefollowingvaluesforthecoe cients

c=3√2

whentheReynoldsnumberRewastakenintheform

Re=u¯d

√3/2lnRe2)η

or,equivalently

φ= √ α

2αη,α=3

αln 2αφ

3+5α =lnη,α=3(3)(5)