XU Jing-lei, MA Hui-yang, HUANG Yu-ning. Nonlinear Turbulence Models That Predict Strong Curvature Effects[J]. Applied Mathematics and Mechanics, 2008, 29(1): 27-37.
Citation: XU Jing-lei, MA Hui-yang, HUANG Yu-ning. Nonlinear Turbulence Models That Predict Strong Curvature Effects[J]. Applied Mathematics and Mechanics, 2008, 29(1): 27-37.

Nonlinear Turbulence Models That Predict Strong Curvature Effects

  • Received Date: 2007-10-28
  • Rev Recd Date: 2007-12-13
  • Publish Date: 2008-01-15
  • The curvature effects on the structure of turbulence were analyzed qualitatively. Numerical simulations of a turbulent U-duct flow with a number of turbulence models in order to assess their overall performance were conducted. The models evaluated are some typical linear eddy viscosity turbulence models, nonlinear eddy viscosity turbulence models (NLEVM) (quadratic and cubic), a quadratic explicit algebraic stress model (EASM) and a Reynolds stress model (RSM) developed based on the secondmoment closure. The numerical results show that a cubic NLEVM that performs considerably well in other benchmark turbulent flows, such as the Craft, Launder and Suga model and the Huang and Ma model, is able to capture the major features of the highly curved turbulent U-duct flow, including the damping of turbulence near the convex wall, the enhancement of turbulence near the concave wall, and the subsequent turbulent flow separation. The predictions of the cubic models are quite close to that of the RSM, in relatively good agreement with the experimental data, which suggests that these models may be applied to simulating the turbulent curved flows in engineering applications.
  • loading
  • [1]
    Bradshaw P. Effects of streamline curvature on turbulent flow[R]. Agardograph progress No 169,AGARD,1973.
    Durst F, Rastogi A K.Turbulent Shear Flows[M].Vol 2.Berlin:Springer, 1980.
    Rumsey C L, Gatski T B,Morrison J H. Turbulence model predictions of strong curved flow in a U-duct[J].AIAA J,2000,38(8):1394-1402. doi: 10.2514/2.1115
    Huang Y N, Ma H Y. Reynolds stress model involving the mean spin tensor[J].Physical Review, E,2004,70(5):NO3:036302.1-036302.10.
    Craft T J, Launder B E,Suga K. Development and application of a cubic eddy-viscosity model of turbulence[J].International Journal of Heat and Fluid Flow,1996,17(2):108-115. doi: 10.1016/0142-727X(95)00079-6
    Yang X D, Ma H Y, Huang Y N. Prediction of homogeneous shear flow and a backward-facing step flow with some linear and non-linear k-εturbulence models[J].Communications in Nonlinear Science and Numerical Simulation,2005,10(3):315-328. doi: 10.1016/j.cnsns.2003.07.001
    Huang Y N, Ma H Y, Chu H J. Modelling turbulent swirling flows based on the algebraic two-equation approach[J].Internat J Numer Methods Fluids,2006,51(3):285-304. doi: 10.1002/fld.1123
    Zhang H S, So R M C, Gatski T B,et al. A near-wall second-order closure for compressible turbulent flows near-wall turbulent flows[A].In:So R M C,Speziale C G,Launder B E,Eds.Near-Wall Turbulent Flows[C].Elsevies Science Publishers B V,1993,209-218.
    Speziale C G, Abid R, Anderson C.Critical evaluation of two-equation models for near-wall turbulence[J].AIAA J,1992,30(2):324-331. doi: 10.2514/3.10922
    Zhang H S, So R M C, Speziale C G,et al. Near-wall two-equation model for compressible turbulent flows[J].AIAA J,1992,31(1):196-199.
    Shih T H, Zhu J,Lumley J L. A realizable Reynolds stress algebraic equation model[R]. NASA TM 105993,1993.
    Abid R, Morrison J H,Gatski T B,et al. Prediction of aerodynamic flows with a new explicit algebraic stress model[J].AIAA J,1996,34(12):2632-2635. doi: 10.2514/3.13451
    Monson D J, Lee Seegmiller H.An experimental investigation of subsonic flow in a two-dimensional U-duct[R]. NASA Technical Memorandum 103931.
    Monson D J, Seegmiller H L, McConnaughey P K,et al.Comparison of experiment with calculations using curvature-corrected zero and two Equation turbulence models for a two-dimensional U-Duct[R]. AIAA 1990, 90-1484.
    LUO Jiang, Lakshminarayana Budugur. Prediction of strongly curved turbulent duct flow with reynolds stress model[J].AIAA J,1997,35(1):
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2766) PDF downloads(861) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint