A unified velocity distribution of incompressible turbulent flow in a two-dimensional channel is calculated by making use of linear expression for shearing stress and of assumed polynomial expression for mixing length. Introducing laminar sublayer it is fairly well coincident with the law of wall and velocity defect law both in the region near wall and central region, respectively. Using these results of velocity distribution, a resistance formula is obtained, which shows fair agreement with existing measurements.
Matsumiya et al. (Thu,) studied this question.