近壁区Reynolds应力输运方程的理论模型

陆利蓬; 龚慧敏; 张坚强; 陈矛章

近壁区Reynolds应力输运方程的理论模型

北京航空航天大学动力系

基金项目: 国家自然科学基金资助项目(10172016); 重点研究发展规划资助项目(1999022305); 航空科学基金资助项目(99C51074)

详细信息

作者简介:
陆利蓬(1962-),男,天津人,副教授,100083,北京.

中图分类号: V 231.21; O 357.5
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- 文章访问数: 2687
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- 被引次数: 0
出版历程
- 收稿日期: 2000-08-09
- 网络出版日期: 2002-03-31

Theoretical Model to Predict Reynolds Stresses in Near Wall Region of a Turbulent Boundary Layer

Beijing University of Aeronautics and Astronautics, Dept. of Propulsion

摘要

摘要: 在湍流边界层的近壁区,采用对称共振三波的理论模型描述相干结构,根据理论模型对 Reynolds 应力输运方程逐项进行计算和分析,结果与直接数值模拟符合很好.这不仅在理论上有益于对湍流物理机制的了解,而且展现了一种可能性,即根据相干结构的理论知识来改造湍流模型,使之具有更清晰的物理内涵以提高近壁区的预估精度.
- 湍流边界层 /
- 湍流输运 /
- 波 /
- Reynolds 应力
Abstract: A symmetric resonant-triad theoretical model was proposed to describe the turbulent coherent structures in the near-wall region of a turbulent boundary layer. Based on this model, the Reynolds-stresses were calculated, their production rates, dissipation rates and transport were evaluated. Consistence of the present results with DNS suggests that the aforementioned theoretical method could reasonably embody the physical mechanism of near wall region turbulence, giving a possibility of modeling the near-wall turbulent flow with the knowledge of coherent structures.
- turbulent boundary layer /
- turbulent transport /
- waves /
- Reynolds-stresses

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参考文献(1)

[1]Blackwelder R F. Analogies between transitional and turbulent boundary layers[J]. Phys Fluids,1983, 26(10):2807~2815. [2]Kim J, Hussain F. Propagation velocity of perturbations in turbulent channel flow[J]. Phys Fluids, 1993, A, 5(3):695~699. [3]Chen Maozhang, Bradshaw P. Calculation of three-dimensional instability modes in a blasius boundary layer[J]. AIAA J,1984,22(2):301~303. [4]罗纪生,周恒.湍流边界层底层相干结构的一个理论模型[J]. 应用数学和力学, 1993,14(11):939~945. [5]Zhou Heng, Xiong Zhongmin. On the mechanism for the generation of the coherent structures in the wall region of a turbulent boundary layer[J]. Science in China(A), 1995,38(2):188~192. [6]Zhou Heng, Lu Lipeng. The effect of pressure gradient on the coherent structures in a turbulent boundary layer[J]. Science in China(A), 1997, 27(4):441~448. [7]周恒,马峥,张哲. 湍流边界层近壁区传热问题[J]. 中国科学(A辑),1998,28(6):529~534. [8]陆利蓬,陈矛章.近壁区Reynolds应力及湍能耗散率输特性的理论模型[J]. 中国科学(A缉),1999,29(11):1113~1118. [9]陆利蓬,陈矛章. 近壁区理论耗散率模型的改进[J].北京航空航天大学学报,2000,26(5):523~526. [10]Mansour N N, Kim J,Moin P. Reynolds-stress and dissipation-rate budgets in a turbulent channel flow[J]. J Fluid Mech,1988, 194:15~44. [11]Kachanov Yu S. On the resonant nature of the breakdown of a laminar boundary layer[J]. J Fluid Mech, 1987,184:43~74.

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