A model for the decay of rotating homogeneous turbulence

Abstract

In order to analyze the decay rate of rotating homogeneous turbulence, the model coefficient Cε2 in the dissipation rate equation is theoretically formulated in terms of the macroscale Rossby number Rol and the power exponent m in the energy spectrum function E(κ)∼κm of small wave number range. The proposed model satisfies the asymptotic decay rate of turbulent kinetic energy, which depends on the small wave number range energy spectrum, for both extremes of rotation rate. A number of test computations prove that the present model faithfully reproduces the available experimental as well as direct numerical simulation data of rotating homogeneous turbulence.