提出在湍流边界层近壁区采用共振三波的理论模型描述湍流相干结构，根据理论模型计算了ε的分布。并且在传统k-ε模式基础上依照理论ε值计算了平均速度分布。在粘性作用层理论值与直接数值模拟符合很好。表明该理论方法不仅有益于对湍流机制的了解，而且可能为湍流的近壁模型化开辟一条新的途径。
A 3-D resonant-triad theoretical model is proposed for the turbulent coherent structures in near-wall region of a turbulent boundary layer. In accordance with the theoretical model, the dissipation-rate of turbulent kinetic energy is calculated. On the base of conventional k-ε model, the mean velocity profile is computed by using the theoretical in stead of computing the transport equation of ε. The theoretical results are in good agreement with those found from DNS. It shows that the theoretical method proposed can correctly embody the physical mechanism of near wall region turbulence and highlights a possibility of opening a new way for near-wall turbulence modeling.
参考文献
| [1] | Blackwelder R F .Analogies between Transitional and Turbulent Boundary Layers[J].Physics of Fluids,1983,26(10):2807. |
| [2] | Kim J;Hussain F .Propagation Velocity of Perturbations in Turbulent Channel Flow[J].Physics of Fluids,1993,a5(03):695. |
| [3] | Chen Maozhang;Bradshaw.The Link between Turbulent Bursts and Three-Dimensional Instability Modes[M].Imperial College,London,Aero.Rept:88-01. |
| [4] | Zhou Heng;Xiong Zhongmin .On the mechanism for the generation of the coherent structures in the wall region of a turbulent boundary layer[J].中国科学A辑(英文版),1995,38(02):188. |
| [5] | Zhou Heng;Lu Lipeng .The effect of pressure gradient on the coherent structures in a turbulent boundary layer[J].中国科学A辑,1997,27(04):441. |
| [6] | 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(06):529-534. |
| [7] | 陆利蓬.近壁区湍能耗散率输运方程的理论模型[J].北京航空航天大学学报,1998(06):680. |
| [8] | Kachanov Yu S .On the Resonant Nature of the Breakdown of a Laminar Boundary Layer[J].Journal of Fluid Mechanics,1987,184:43-74. |
| [9] | Mansour N N;Kim J;Moin P .Reynolds-Stress and Dissipation-Rate Budgets in a Turbulent Channel Flow[J].Journal of Fluid Mechanics,1988,194:15. |
| [10] | Myong H K;Kasagi N .A New Approach to the Improvement of Turbulence Model for Wall Bounded Shear Flows[J].JSME International Journal,1990,II:33,63. |
| [11] | SPEZIALE C G;Abid R;Anderson E C .A Critical Evaluation of Two-Equation Models for Near Wall Turbulence[R].AIAA Paper,1990. |
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