Scaling Laws of Rough Turbulent Flows from Turbulence Phenomenology: An Overview and a New Application

Abstract

In this paper, the scaling laws of rough turbulent flows stemming from the phenomenological theory of turbulence are reviewed. It is revealed that the scaling of the well-known empirical formulae can also be obtained by means of the
phenomenological theory. The phenomenological theory thus enables to provide an insight into the physics of the flows of the problems arising from turbulence. As a new thought, the famous scaling laws of the velocity distributions, the logarithmic law and the power law of the wall, are also sought applying the same theory.