Research on Pressure Strain Correlation Terms in the Reynolds Stress Model for Spiral Flow in Reducing Pipes With Rotating Wall

ZHANG Jinglong; WANG Zunce; XU Yan; XU Dekui

doi:10.21656/1000-0887.390325

Volume 40 Issue 5

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ZHANG Jinglong, WANG Zunce, XU Yan, XU Dekui. Research on Pressure Strain Correlation Terms in the Reynolds Stress Model for Spiral Flow in Reducing Pipes With Rotating Wall[J]. Applied Mathematics and Mechanics, 2019, 40(5): 574-582. doi: 10.21656/1000-0887.390325

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Research on Pressure Strain Correlation Terms in the Reynolds Stress Model for Spiral Flow in Reducing Pipes With Rotating Wall

doi: 10.21656/1000-0887.390325

¹School of Mechanical Science and Engineering, Northeast Petroleum University, Daqing, Heilongjiang 163318, P.R.China;²Key Laboratory of Petroleum and Petrochemical Multiphase Media Treatment and Pollution Prevention of Heilongjiang, Daqing, Heilongjiang 163318, P.R.China;³Oil Production Engineering Institute, Daqing Oilfield of CNPC, Daqing, Heilongjiang 163453, P.R.China

Funds: The National Natural Science Foundation of China（11402051）

Received Date: 2018-11-23
Rev Recd Date: 2019-01-02
Publish Date: 2019-05-01

Abstract

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.
- reducing pipe,
- rotating wall,
- spiral flow,
- pressure strain correlation term,
- invariant of tensor

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References(17)

References

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