A unified velocity distribution of turbulent incompressible boundary layer along a flat plate is calculated by assuming polynomials of the third degree for shearing stress and for mixing length. Introducing laminar sublayer it is found that the velocity distributions are well coincident with those of wall law and of velocity defect law in the region near wall and external boundary, respectively. In pure laminar flow it coincides with Kármán-Pohlhausen’s profile. Solving the momentum integral equation by these velocity profiles a resistance formula is derived. This formula agrees well with Blasius’- and Prandtl-Schlichting’s law in respective extremities of Reynolds number, while it gives poor results at transition region.
Uchida et al. (Fri,) studied this question.