航空学报 > 1992, Vol. 13 Issue (5): 304-308

包含旋转矢量的三维湍流模型

祖国君, 陈矛章   

  1. 北京航空航天大学4系 北京 10083
  • 收稿日期:1990-12-30 修回日期:1991-08-08 出版日期:1992-05-25 发布日期:1992-05-25

THREE DIMENSIONAL TURBULENCE MODEL WITH ROTATIONAL VECTOR

Zu Guo-jun, Chen Mao-zhang   

  1. Fouth Dapartment of Beijing University of Aeronauties and Astronautics,Beijing,100083
  • Received:1990-12-30 Revised:1991-08-08 Online:1992-05-25 Published:1992-05-25

摘要: 对雷诺应力方程中的旋转项进行分析后给出比较合理的模化关系。通过湍流的生成项、耗散项以及旋转项的局部平衡,建立了一个包含旋转矢量在内的各向异性的三维湍流模型。该模型对三维性较弱的剪切流是适切的。对旋转螺旋面及压气机转子叶片上的三维旋转湍流边界层进行了计算。计算结果与实验和C-S模型计算结果比较表明,该模型对近壁参数的预测能力有所改善。另外,该模型形式简单,从表达式本身来看,它相当于Bradshaw模型在三维问题上的推广。

关键词: 三维边界层, 湍流模型, 旋转流体

Abstract: The rotating terms in Reynolds stress equations (RSEs) are analyzed , and the appropriate modellings to these terms are proposed in this paper. By means of the local equlibrium of turbulence production, dissipation and rotating terms, an nonisotropic three-dimensional turbulence model which contains the rotational vector are proposed. This model is appropriate to mild three-dimensional shear flows. Calculations are done with this model on a rotational helical blade and a compressor rotor blade, the results art: comparied with experiments and the computation results with C-S model, showing that the present model can improve the prediction capability of near wall parameters in certain extent. Otherwise, this model is simple and can be considered as the extention of Brad-shaw's model in three-dimensional flows.

Key words: three-dimensional boundary, turlmtont modell, rotating fluids