Abstract
Two-scale direct-interaction approximation (TSDIA) is applied to the calculation of the turbulent passive scalar flux, the scalar variance, and the helicity in a rotating system. A skew-diffusion effect is confirmed to appear in a rotating system, which gives rise to the appearance of a component of turbulent scalar flux perpendicular to the local mean scalar gradient and to the axis of rotation. On this basis, the comparison between TSDIA and the smoothing theory is made, and an explicit form for the skew velocity in a rotating system is found.
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