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Unstable Periodic Motion in Plane Couette System: The Skeleton of Turbulence

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IUTAM Symposium on One Hundred Years of Boundary Layer Research

Part of the book series: Solid mechanics and its applications ((SMIA,volume 129))

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Reference

  1. . Prandtl L. “Uber flüssigkeitsbewegung mit kleiner reibung”, Verh. III Int. Math. Kongr ., Heidelberg, Germany, 484-491, 1905.

    Google Scholar 

  2. Prandtl L. “Zur turbulenten str#x00F6;mung in rohren und längs platten”, Ergeb. AVA Göttingen , 4, 18-29, 1932.

    Google Scholar 

  3. Jiménez J. “The physics of wall turbulence”, Physica A, 263, 252-262, 1999.

    Article  Google Scholar 

  4. Jiménez J, Pinelli A. “The autonomous cycle of near-wall turbulence”, J. Fluid Mech., 389, 335-359, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  5. Kline SJ, Reynolds WC, Schraub FA, Runstadler PW. “The structure of tur- bulent boundary layers”, J. Fluid Mech., 30, 741-773, 1967.

    Article  Google Scholar 

  6. Waleffe F. “On a self-sustaining process in shear flows”, Phys. Fluids , 9, 883-900,1997.

    Article  Google Scholar 

  7. Schoppa W, Hussain F. “Coherent structure generation in near-wall turbu- lence”, J. Fluid Mech., 453, 57-108, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  8. Kawahara G, Jiménez J, Uhlmann M, Pinelli A. “Linear instability of a corrugated vortex sheet — a model for streak instability”, J. Fluid Mech., 483, 315-342, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  9. Hamilton JM, Kim J, Waleffe F. “Regeneration mechanisms of near-wall turbulence structures”, J. Fluid Mech., 287, 317-348, 1995.

    Article  MATH  Google Scholar 

  10. Nagata M. “Three-dimensional finite-amplitude solutions in plane Couette flow: bifurcation from infinity”, J. Fluid Mech., 217, 519-527, 1990.

    Article  MathSciNet  Google Scholar 

  11. Waleffe F. “Homotopy of exact coherent structures in plane shear flows”, Phys. Fluids , 15, 1517-1534, 2003.

    Article  MathSciNet  Google Scholar 

  12. Itano T, Toh S. “The dynamics of bursting process in wall turbulence”, J. Phys. Soc. Jpn. , 70, 703-716, 2001.

    Article  Google Scholar 

  13. Waleffe F. “Exact coherent structures in channel flow”, J.Fluid Mech., 435, 93-102, 2001.

    Article  MATH  Google Scholar 

  14. Jiménez J, Simens MP. “Low-dimensional dynamics in a turbulent wall flow”, J. Fluid Mech., 435, 81-91, 2001.

    Article  MATH  Google Scholar 

  15. Kawahara G, Kida S. “Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst”, J. Fluid Mech., 449, 291-300, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  16. . Jiménez J, Kawahara G, Simens MP, Nagata M, Shiba M. “Characterization of near-wall turbulence in terms of equilibrium and ‘bursting’ solutions”, submitted to Phys. Fluids , 2004.

    Google Scholar 

  17. Jiménez J, Moin P. “The minimal flow unit in near-wall turbulence”, J. Fluid Mech., 225, 213-240, 1991.

    Article  MATH  Google Scholar 

  18. Kim J, Moin P, Moser R. “Turbulence statistics in fully developed channel flow at low Reynolds number”, J. Fluid Mech., 177, 133-166, 1987.

    Article  MATH  Google Scholar 

  19. Dauchot O, Daviaud F. “Finite amplitude perturbation and spots growth mechanism in plane Couette flow”, Phys. Fluids , 7, 335-343, 1995.

    Article  Google Scholar 

  20. Bottin S, Chaté H. “Statistical analysis of the transition to turbulence in plane Couette flow”, Eur. Phys. J. B, 6, 144-155, 1998.

    Article  Google Scholar 

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Kawahara, G., Kida, S., Nagata, M. (2006). Unstable Periodic Motion in Plane Couette System: The Skeleton of Turbulence. In: Meier, G.E.A., Sreenivasan, K.R., Heinemann, HJ. (eds) IUTAM Symposium on One Hundred Years of Boundary Layer Research. Solid mechanics and its applications, vol 129. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4150-1_40

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  • DOI: https://doi.org/10.1007/978-1-4020-4150-1_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4149-5

  • Online ISBN: 978-1-4020-4150-1

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