Abstract

The characteristics of flow field in reducing pipes were analyzed. It was determined that the inner vortex in the tangential velocity field is an elliptic flow dominated by the rotation of fluid micelle. The outer vortex is a hyperbolic flow dominated by deformation of fluid micelle and influenced by wall rotation. With the tensor invariant theory, an invariant integrating the rotation rate tensor and the strain rate tensor was introduced as the model coefficient. Then the modified model for pressure and strain terms in the Reynolds stress, which is applicable to flow dominated by rotation, was extended to hyperbolic flow. Ultimately, the model was applied to the flow field simulation of the reducing pipe with rotating wall. Comparison between numerical results and measured ones proves the effectiveness of the modified model.

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