New constitutive relation for eddy viscosity models

JIANG Li-jun; GAO Ge

doi:10.13224/j.cnki.jasp.2016.10.023

New constitutive relation for eddy viscosity models

doi: 10.13224/j.cnki.jasp.2016.10.023

1. Hunan Aviation Powerplant Research Institute, Aero Engine Corporation of China, Zhuzhou Hunan 41200;
2. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

基金项目:

China Academy of Aeronautics Propulsion Innovation Fund

详细信息

中图分类号: V231
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- 被引次数: 0
出版历程
- 收稿日期: 2015-01-27
- 刊出日期: 2016-10-28

New constitutive relation for eddy viscosity models

1. Hunan Aviation Powerplant Research Institute, Aero Engine Corporation of China, Zhuzhou Hunan 41200;
2. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Funds:

China Academy of Aeronautics Propulsion Innovation Fund

摘要

摘要: A new turbulent constitutive relation was directly derived from Boussinesq's hypothesis and mixing length theory, and then implemented in the standard k-ε model. The performance of this constitutive relation was validated in zero pressure gradient flat-plate boundary layer flow, fully-developed turbulent channel flow and separated flow in a plane asymmetric diffuser. The investigation demonstrated that, this new constitutive relation gave very accurate results in the former two basic cases and provided significant improvement in prediction of separated and reattachment points in the plane asymmetric diffuser. Separation and reattachment points at x/H=7.5 and 29 were calculated accurately in comparison to experimental results, and the static pressure coefficient of 0.82 was very close to large eddy simulation calculation. These results are very encouraging but further verification and extensive application of the new constitutive relation to other two-equation eddy viscosity model are needed.
- constitutive relation /
- turbulence model /
- flat-plate flow /
- channel flow /
- separated flow
Abstract: A new turbulent constitutive relation was directly derived from Boussinesq's hypothesis and mixing length theory, and then implemented in the standard k-ε model. The performance of this constitutive relation was validated in zero pressure gradient flat-plate boundary layer flow, fully-developed turbulent channel flow and separated flow in a plane asymmetric diffuser. The investigation demonstrated that, this new constitutive relation gave very accurate results in the former two basic cases and provided significant improvement in prediction of separated and reattachment points in the plane asymmetric diffuser. Separation and reattachment points at x/H=7.5 and 29 were calculated accurately in comparison to experimental results, and the static pressure coefficient of 0.82 was very close to large eddy simulation calculation. These results are very encouraging but further verification and extensive application of the new constitutive relation to other two-equation eddy viscosity model are needed.
- constitutive relation /
- turbulence model /
- flat-plate flow /
- channel flow /
- separated flow

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参考文献(22)

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