1985 Volume 18 Issue 6 Pages 544-549
Assuming that the turbulent flow field consists of eddy-groups and that each of them has respective average frequency, a formula for the one-dimensional energy spectrum function (ESF) for wide wavenumber ranges is proposed by using the information entropy from the standpoint of statistical mechanics. The newly proposed formula appears to be a satisfactory approximation of past practical distributions of ESF even if the distribution has more than one order of wavenumber range to which the Kolmogoroff spectrum law can be applied. In addition, the relationship between micro and macro scale, the displacement of fluid particle, the turbulent eddy diffusivity and the points to be noted for scale-up of equipment are discussed on the basis of the newly proposed expression of the one-dimensional ESF.
