Modern Conceptions of the Mechanics of Fluid Turbulence

This is the authors' abstract. We don't add key points for this paper.

Throughout the past century, numerous efforts have been made to understand the problem of resistance in turbulent flow, but only in recent years has a satisfactory analytical basis been laid for such research. The purpose of this paper is to summarize and interpret the modern scientific method of approach that have made such progress possible, using the subject of flow in circular pipes as the simplest and most pertinent means of illustration.