A spectral analysis of axisymmetric homogeneous turbulence undergoing rotation

The effects rotation has on turbulent flow structures are explored analytically. A damped-eddy quasi-normal Markovian expression (DEQNM) is defined for the nonlinear terms in a second order spectral tensor equation. The DEQNM is used in conjunction with a linear operator for the correlation triplets to obtain a transfer equation for the effects of rotation as the initially three-dimensional flow is coerced into assuming two-dimensional characteristics. The calculations indicate that nonlinear rotational effects, when experienced by a flow in an initial state of anisotropy, offset the linear effects acting on the Reynolds tensor. The model thus reveals effects that are not predicted by classical one-point closure models.