Table of Contents Author Guidelines Submit a Manuscript
Modelling and Simulation in Engineering
Volume 2012, Article ID 619419, 22 pages
http://dx.doi.org/10.1155/2012/619419
Research Article

New Theories on Boundary Layer Transition and Turbulence Formation

Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019, USA

Received 26 January 2012; Accepted 25 March 2012

Academic Editor: Guan Heng Yeoh

Copyright © 2012 Chaoqun Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Marshak, 3D Radiative Transfer in Cloudy Atmospheres, Springer, New York, NY, USA, 2005.
  2. T. Mullin, “Turbulent times for fluids,” New Scientist, vol. 124, no. 1690, pp. 52–55, 1989. View at Google Scholar · View at Scopus
  3. P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press, 2004.
  4. V. I. Borodulin, V. R. Gaponenko, Y. S. Kachanov et al., “Late-stage transitional boundary-layer structures. Direct numerical simulation and experiment,” Theoretical and Computational Fluid Dynamics, vol. 15, no. 5, pp. 317–337, 2002. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Lee and R. Li, “Dominant structure for turbulent production in a transitional boundary layer,” Journal of Turbulence, vol. 8, pp. 1–34, 2007, N55. View at Publisher · View at Google Scholar · View at Scopus
  6. A. N. Kolmogorov, “The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers,” in Proceedings of the USSR Academy of Sciences, vol. 30, pp. 299–303, 1941.
  7. A. N. Kolmogorov, “The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers,” Proceedings of the Royal Society of London A, vol. 434, pp. 9–13, 1991. View at Publisher · View at Google Scholar
  8. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov, Cambridge University Press, New York, NY, USA, 1995.
  9. B. Singer and R. Joslin, “Metamorphosis of a hairpin vortex into a young turbulent spot,” Physics of Fluids, vol. 6, no. 11, pp. 3724–3736, 1994. View at Google Scholar · View at Scopus
  10. T. Herbert, “Secondary Instability of Boundary Layer,” Annual Review of Fluid Mechanics, vol. 20, pp. 487–526, 1988. View at Google Scholar
  11. Y. S. Kachanov, “Physical mechanisms of laminar-boundary-layer transition,” Annual Review of Fluid Mechanics, vol. 26, no. 1, pp. 411–482, 1994. View at Google Scholar · View at Scopus
  12. L. Kleiser and T. A. Zang, “Numerical simulation of transition in wall-bounded shear flows,” Annual Review of Fluid Mechanics, vol. 23, no. 1, pp. 495–537, 1991. View at Google Scholar · View at Scopus
  13. D. Sandham and L. Kleiser, “The late stages of transition in channel flow,” Journal of Fluid Mechanics, vol. 245, pp. 319–348, 1992. View at Google Scholar
  14. U. Rist and Y. S. Kachanov, “Numerical and experimental investigation of the K-regime of boundary-layer transition,” in Laminar-Turbulent Transition, R. Kobayashi, Ed., pp. 405–412, Springer, Berlin, Germany, 1995. View at Google Scholar
  15. S. Bake, D. G. W. Meyer, and U. Rist, “Turbulence mechanism in Klebanoff transition: a quantitative comparison of experiment and direct numerical simulation,” Journal of Fluid Mechanics, vol. 459, pp. 217–243, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. S. Kachanov, “On a universal mechanism of turbulence production in wall shear flows,” in Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 86 of Recent Results in Laminar-Turbulent Transition, pp. 1–12, Springer, Berlin, Germany, 2003. View at Google Scholar
  17. R. J. Adrian, “Hairpin vortex organization in wall turbulencea,” Physics of Fluids, vol. 19, no. 4, Article ID 041301, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. X. Wu and P. Moin, “Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer,” Journal of Fluid Mechanics, vol. 630, pp. 5–41, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Guo, V. I. Borodulin, Y. S. Kachanov et al., “Nature of sweep and ejection events in transitional and turbulent boundary layers,” Journal of Turbulence, vol. 11, pp. 1–9, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. L. Chen, X. Liu, M. Oliveira, D. Tang, and C. Liu, “Vortical structure, sweep and ejection events in transitional boundary layer,” Science China Physics, Mechanics and Astronomy, vol. 39, no. 10, pp. 1520–1526, 2009. View at Google Scholar
  21. L. Chen, X. Liu, M. Oliveira, and C. Liu, “DNS for ring-like vortices formation and roles in positive spikes formation,” AIAA Paper 2010-1471, Orlando, Fla, USA, 2010. View at Google Scholar
  22. L. Chen, D. Tang, P. Lu, and C. Liu, “Evolution of the vortex structures and turbulent spots at the late-stage of transitional boundary layers,” Science China, vol. 54, no. 5, pp. 986–990, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. L. Chen and C. Liu, “Numerical study on mechanisms of second sweep and positive spikes in transitional flow on a flat plate,” Computers and Fluids, vol. 40, no. 1, pp. 28–41, 2011. View at Publisher · View at Google Scholar · View at Scopus
  24. X. Liu, L. Chen, M. Oliveira, D. Tang, and C. Liu, “DNS for late stage structure of flow transition on a flat-plate boundary layer,” AIAA Paper 2010-1470, Orlando, Fla, USA, 2010. View at Google Scholar
  25. C. Liu and L. Chen, “Study of mechanism of ring-like vortex formation in late flow transition,” AIAA Paper 2010-1456, Orlando, Fla, USA, 2010. View at Google Scholar
  26. X. Liu, Z. Chen, and C. Liu, “Late-stage vortical structures and eddy motions in transitional boundary layer status,” Chinese Physics Letters, vol. 27, no. 2, 2010. View at Publisher · View at Google Scholar
  27. C. Liu, L. Chen, and P. Lu, “New findings by high-order DNS for late flow transition in a boundary layer,” Modelling and Simulation in Engineering, vol. 2011, Article ID 721487, 2011. View at Publisher · View at Google Scholar · View at Scopus
  28. C. Liu and L. Chen, “Parallel DNS for vortex structure of late stages of flow transition,” Computers and Fluids, vol. 45, no. 1, pp. 129–137, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. C. Liu, “Numerical and theoretical study on “Vortex Breakdown”,” International Journal of Computer Mathematics, vol. 88, no. 17, pp. 3702–3708, 2011. View at Google Scholar
  30. C. Liu, L. Chen, P. Lu, and P. Liu, “Study on multiple ring-like vortex formation and small vortex generation in late flow transition on a flat plate,” 2011, Theoretical and Numerical Fluid Dynamics. In press. View at Publisher · View at Google Scholar
  31. P. Lu and C. Liu, “Numerical study of mechanism of u-shaped vortex formation,” Journal of Computers and Fluids, pp. 36–47, 2012, AIAA Paper 2011-0286. View at Google Scholar
  32. P. Lu and C. Liu, “DNS study on mechanism of small length scale generation in late boundary layer transition,” Journal of Physica D, vol. 241, no. 2012, pp. 11–24, 2011. View at Google Scholar
  33. J. Jeong and F. Hussain, “On the identification of a vortex,” Journal of Fluid Mechanics, vol. 285, pp. 69–94, 1995. View at Google Scholar · View at Scopus
  34. L. Jiang, C. L. Chang, M. Choudhari, and C. Liu, “Cross-validation of DNS and PSE results for instability-wave propagation,” in Proceedings of the 16th American Institute of Aeronautics and Astronautics Computational Fluid Dynamics Conference (AIAA '03), Orlando, Fla, USA, June 2003, AIAA Paper #2003-3555.
  35. F. Ducros, P. Comte, and M. Lesieur, “Large-eddy simulation of transition to turbulence in a boundary layer developing spatially over a flat plate,” Journal of Fluid Mechanics, vol. 326, pp. 1–36, 1996. View at Google Scholar · View at Scopus
  36. P. Lu, M. Thampa, and C. Liu, “Numerical study on randomization in late boundary layer transition,” in American Institute of Aeronautics and Astronautics Scientific Meeting (AIAA '12), Nashville, Tenn, USA, January 2012, AIAA Paper 2012-0747.
  37. P. Lu and C. Liu, “Numerical study on mechanism of multiple ring formation,” AIAA Paper 2012-0747, Nashville, Tenn, USA, 2012. View at Google Scholar
  38. P. Moin, A. Leonard, and J. Kim, “Evolution of a curved vortex filament into a vortex ring,” Physics of Fluids, vol. 29, no. 4, pp. 955–963, 1986. View at Publisher · View at Google Scholar · View at Scopus
  39. R. F. Feynman, “Application of quantum mechanics to liquid helium,” in Progress in Low Temperature Physics, C. J. Gorter, Ed., vol. 1, chapter 2, North Holland, Amsterdam, The Netherlands, 1955. View at Google Scholar
  40. U. Frisch, P. L. Sulem, and M. Nelkin, “A simple dynamical model of intermittent fully developed turbulence,” Journal of Fluid Mechanics, vol. 87, no. 4, pp. 719–736, 1978. View at Google Scholar
  41. D. G. W. Meyer, U. Rist, and M. J. Kloker, “Investigation of the flow randomization process in a transitional boundary layer,” in High Performance Computing in Science and Engineering '03, E. Krause and W. Jäger, Eds., pp. 239–253, Springer, New York, NY, USA, 2003. View at Google Scholar
  42. L. Prandtl, “Bericht uber Untersuchungen zur ausgebildeten Turbulenz,” Zeitschrift für Angewandte Mathematik und Mechanik, Band, vol. 5, pp. 136–139, 1925. View at Google Scholar