Abstract
The behavior of the pressure fluctuations in an incompressible homogeneous turbulence subjected to rapid rotation is investigated. Linearized equations based on Rapid Distortion Theory are used to analyze the turbulent motion in this study. We found a new expression, by which the pressure fluctuation is the dot product of the mean vorticity vector and the vector stream function of turbulence. It decomposes the pressure gradient of the linearized equations into a non-local vorticity-affected part and a local effect part. The former is orientated parallel to the mean vorticity direction, while the latter is similar to the Coriolis force and perpendicular to the mean vorticity direction. For the rapidly rotating frame with no mean velocity gradient, the Coriolis force can be canceled by the analogous one derived from the pressure gradient using the present new expression. As a result, the motion of turbulence is governed only by the non-local effects along the axis of rotation.
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