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Problems of the conventional BL model as applied to super/hypersonic turbulent boundary layers and its improvements

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Abstract

Turbulence modeling has played important roles in solving engineering problems. However, with the development of aerospace technology, turbulence modeling faces new challenges. How to further improve turbulence modeling for super/hypersonic flows is an urgent problem. Through analyzing a set of data resulting from DNS and experiments, it is found that some most popular models suffer from essential flaws, and can be hardly improved following the traditional mode of thinking. On the contrary, the BL model, which is one of the simplest and widely-used models, can be further improved. In this paper, through analyzing results from DNS data, the main cause of the inaccuracy in applying the BL model to supersonic and hypersonic turbulent boundary layers is found to have resulted from the mismatch between the location of the matching point of the inner and outer layers of the BL model determined by the conventional way and those given by DNS. Improvement on this point, as well as other improvements is proposed. Its effectiveness is verified through the comparison with DNS results.

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References

  1. Baldwin B S, Lomax H. Thin layer approximation and algebraic model for separated turbulent flows. AIAA Paper, 1978, AIAA-78-257

  2. Spalart P R, Allmaras S R. A one equation turbulence model for aerodynamic flows. AIAA Paper, 1992, AIAA-92-0439

  3. Menter F R. Two-equation eddy viscosity turbulence models for engineering applications. AIAA J, 1994, 32: 1598–1605

    Article  ADS  Google Scholar 

  4. Chien K Y. Predictions of channel and boundary layer flows with a low Reynolds number turbulence model. AIAA J, 1982, 20: 33–38

    Article  ADS  MATH  Google Scholar 

  5. Wilcox D C. Reassessment of the scale determining equation for advanced turbulence models. AIAA J, 1988, 26: 1299–1310

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Roy C J, Blottner F G. Review and assessment of turbulence models for hypersonic flows. Prog Aerosp Sci, 2006, 42: 469–530

    Article  Google Scholar 

  7. Wilcox D C. Turbulence Modeling for CFD. DCW Industries, 1994. 1–138

  8. Li X L, Fu D X, Ma Y W, et al. Acoustic calculation for supersonic turbulent boundary layer flow. Chin Phys Lett, 2009, 26: 094701

    Article  ADS  Google Scholar 

  9. Dong M, Zhou H. Examination of the application of BL model in supersonic turbulent boundary layers (in Chinese). Acta Aerodyn Sin, 2009, 27: 102–107

    Google Scholar 

  10. Dong M, Zhou H. The improvement of turbulence modeling for the aerothermal computation of hypersonic turbulent boundary layers. Sci China Phys Mech Astron, 2010, 53: 369–379

    Article  MathSciNet  ADS  Google Scholar 

  11. Escudier M P. The distribution of mixing-length in turbulent flows near walls. Heat Transfer Section Report TWF/TN/12, 1966

  12. Duan L, Beekman I, Martin M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 2. Effect of wall temperature. J Fluid Mech, 2010, 655: 419–445

    Article  ADS  MATH  Google Scholar 

  13. Pirozzoli S, Grasso F, Gatski T B. Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M=2.25. Phys Fluids, 2004, 16: 530–545

    Article  ADS  Google Scholar 

  14. Li X L, Fu D X, Ma Y W, et al. Direct numerical simulation of shock/turbulent boundary layer interaction in a supersonic compression ramp. Sci China Phys Mech Astron, 2010, 53: 1651–1658

    Article  ADS  Google Scholar 

  15. Maeder T, Adams N A, Kleiser L. Direct simulation of turbulent supersonic boundary layers by an extended temporal approach. J Fluid Mech, 2001, 429: 187–216

    Article  ADS  MATH  Google Scholar 

  16. Martin M P. Direct numerical simulation of hypersonic turbulent boundary layers. Part 1. Initialization and comparison with experiments. J Fluid Mech, 2007, 570: 347–364

    Article  ADS  MATH  Google Scholar 

  17. Dong M, Zhou H. The effect of high temperature induced variation of specific heat on the hypersonic turbulent boundary layer and its computation. Sci China Phys Mech Astron, 2010. 53: 2103–2112

    Article  MathSciNet  ADS  Google Scholar 

  18. Li X L, Fu D X, Ma Y W. Direct numerical simulation of a spatially evolving supersonic turbulent boundary layer at Ma=6. Chin Phys Lett, 2006, 23: 1519–1522

    Article  ADS  Google Scholar 

  19. Tsujimoto K, Miyake Y. Universal property of autonomous layer in near-wall turbulence. In:IUTAM Symposium on Geometry and Statistics of Turbulence. Netherlands: Kluwer Academic Publication, 2001. 385–390

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Ming Dong

  2. Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin, 300072, China

    Ming Dong

  3. Key laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    XinLiang Li

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  1. Ming Dong
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  2. XinLiang Li
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Correspondence to Ming Dong.

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Dong, M., Li, X. Problems of the conventional BL model as applied to super/hypersonic turbulent boundary layers and its improvements. Sci. China Phys. Mech. Astron. 54, 1889 (2011). https://doi.org/10.1007/s11433-011-4450-6

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  • DOI: https://doi.org/10.1007/s11433-011-4450-6

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