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A theoretical mode for the instability of turbulent boundary layer over compliant surface

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Abstract

A theoretical model for the instability of turbulent boundary layer over compliant surfaces is described. The investigation of instability is carried out from a time-asymptotic space-time perspective that classifies instabilities as either convective or absolute. Results are compared against experimental observations of surface waves on elastic and viscoelastic compliant layers.

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References

  1. Carpenter P W, Garrad A D. The hydrodynamics stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities.J Fluid Mech, 1985, 155: 465–510

    Article  MATH  Google Scholar 

  2. Yeo K S. The stability of boundary-layer flow over single-and multi-layer viscoelastic walls.J Fluid Mech, 1988, 196: 359–408

    Article  MATH  MathSciNet  Google Scholar 

  3. Briggs R J. Electron-Stream Interaction with Plamas. Cambridge, MA: MIT Press, 1964, 29

    Google Scholar 

  4. Bers A. Handbook of Plasma Physics, Chapter 3. North-Holland Publish Company, 1983

  5. Gad-el-Hak M. The response of elastic and viscoelastic surfaces to a turbulent boundary.Trans ASME E: J Appl Mech, 1986, 53: 206–212

    Google Scholar 

  6. Hansen R J, Hunston D L, Ni C C et al. An experimental study of flow-generated waves on a flexible surface.J Sound Vib, 1980, 68: 317–334

    Article  Google Scholar 

  7. Gad-el-Hak M, Blackwelder R F, Riley J J. On the interaction of compliant coatings with boundary-layer flows.J Fluid Mech, 1984, 140: 257–280

    Article  Google Scholar 

  8. Yeo K S, Khoo B C, Zhao H Z. The absolute instability of boundary-layer flow over viscoelastic walls.Theor Comput Fluid Dynamics, 1996, 8: 237–252

    MATH  Google Scholar 

  9. Yeo K S, Khoo B C, Zhao H Z. The convective and absolute instability of fluid flow over viscoelastic compliant layers.J Sound Vib, 1999, 223: 379–398

    Article  Google Scholar 

  10. Evrensel C A, Kalnins A. Response of a compliant slab to viscous incompressible fluid flow.Trans ASME E: J Appl Mech, 1988, 55: 660–666

    Google Scholar 

  11. Bland D R. Linear Viscoelasticity. Pergamon, 1960

    MATH  Google Scholar 

  12. Kupfer K, Bers A, Ram A K. The cusp map in the complex-frequency plane for absolute instabilities.Phys Fluids, 1987, 30(10): 3075–3082

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, 430074, Wuhan, China

    Zhao Hanzhong

  2. Department of Mechanical and Production Engineering, National University of Singapore, 119260, Singapore

    Yeo Khoon Seng

Authors
  1. Zhao Hanzhong
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  2. Yeo Khoon Seng
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Hanzhong, Z., Seng, Y.K. A theoretical mode for the instability of turbulent boundary layer over compliant surface. Acta Mech Sinica 17, 133–141 (2001). https://doi.org/10.1007/BF02487601

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  • DOI: https://doi.org/10.1007/BF02487601

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