On the Laminar Sub-Layer in the Turbulent Boundary Layer, I.

概要

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The purpose of the study dealt with in this paper is to investigate the state of flow near the surface of a body in a turbulent boundary layer and to contribute to the theories of surface friction or heat transfer in turbulent motion. In part I, the mechanism of the flow in a laminar sub-layer is explained with a conception of the stability of laminar boundary layer; and the equations of motion and the boundary conditions are derived. In Part II, a method of an approximate solution is shown for the flow along a flat plate, and the solution is compared with experimental data. Then it is proved that the power or the logarithmic law of velocity distributions of the turbulent boundary layer is improved in the vicinity of the plate surface. In Part III, a similar approximate method of solution is shown for particular flow patterns in which a parameter used in the equation is constant and a group of these solutions are derived. And with these solutions in use, a method to calculate the velocity profiles in any sub-layer is derived, assuming that the turbulent boundary layer is developing from the forward stagnation point, and the results are compared with those of the experiments. It appears that the work described in this paper is useful as one of the theoretical grounds on which the general state of flow near the surface of body in turbulent boundary layer it determined.
社団法人日本物理学会の論文
1949-09-25