Evaluation of axial energy flux in rotating inhomogeneous turbulence

Abstract

It is known that kinetic energy is rapidly transferred in the direction of the rotation axis. Previous researches indicate that the rapid energy transport is closely related to the helicity of fluids. In this study, we discuss the relationship between the axial energy transport and the helicity using the statistical quantities of turbulence. It is suggested that the pressure related to the angular velocity of the system rotation plays a significant role in the energy flux. This point is confirmed by the numerical simulation, and the estimation for the energy flux in the axis direction is discussed.