Homogeneous turbulence evolution in a stably stratified flow—III. Near time span at low inverse Froude number and distant time span at arbitrary Froude number

Abstract

This paper is the third and last part of work studying analytically and numerically the second-order turbulence model [B.A. Kolovandin, Modelling the dynamics of turbulent transport processes, in: Advances in Heat Transfer, vol. 21. Pergamon, 1991, pp. 185–234, and B.A. Kolovandin, V.U. Bondarchuk, C. Meola, G. De Felice, Modeling of the homogeneous turbulence dynamics of stably stratified media, Int. J. of Heat and Mass Transfer 36 (1993) 1953–1968] for homogeneous turbulence in stratified media. As in the two previous parts [V.A. Babenko, Homogeneous turbulence evolution in stably stratified flow—I. Internal gravity waves at low inverse Froude numbers, Int. J. of Heat and Mass Transfer 40 (1997) 1951–1961, and V.A. Babenko, Homogeneous turbulence evolution in stably stratified flow—II. Asymptotic regimes of large evolution time at low inverse Froude numbers. Int. J. of Heat and Mass Transfer 40 (1997) 1963–1976], the model is studied with asymptotic small parameter methods. In this part the inverse Froude number and the inverse evolution time are used for this purpose.