Some Remarks on the “Turbulent Element Model” of the Isotropic Turbulence

[摘要] In this paper, some characteristics of the model of isotropic turbulence are studied from the view-point of energy spectrum of turbulence. At first, the influence of the running-mean process of the original turbulent velocity on the spectral distribution of energy is discussed. It is then studied, what spectral properties the “Turbulenzelement” has, which is introduced by Weizsäcker, and by what kind of running mean process Inoue's “turbulon model” is derived. By this study, it is made clear the interrelation between the theories of the above-mentioned authors on the isotropic turbulence and those of other authors, and furthermore the well-known “-5/3 power law” of the energy spectrum is again derived by means of the equation of energy balance, which is somewhat different in form from those of Obukhoff's and Heisenberg's.

[学科分类] 大气科学