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An experimental research on the instability of natural convection boundary layer around a vertical heated flat plate

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Abstract

Experimental results on the instability of the isothermal naturalconvection boundary layer around a vertical heated flat plate are presented. It is demonstrated that the characteristics of the instability wave in the outer layer is consistent with the calculation of Brewster & Gebhart. After an initial growth of its low frequency components at the downstream side of the turning point of the neutral curve (Gr≈120) its comparatively higher frequency components develop and become turbulent subsequently with a buoyancy subrange in its power spectra. Simultaneously, in the measurement at the inner layer near the wall a viscous instability signal the same as the Tollmien-Schlichting waves in ordinary boundary layer and its subharmonics in a much higher frequency domain is discovered and an inertial subrange can be observed in the spectra atGr≈378.6.

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References

  1. Echert ERG, Soehngen E. Interferometric studies on the stability and transition to turbulence of a free-convection boundary layer. Proc General Discussion on Heat Transfer. London: ASME Press, 1951, 321

    Google Scholar 

  2. Szewczyk A. Stability and transition of the free-convection layer along a vertical flat plate.Int J Heat Mass Transfer, 1962, 5: 903

    Article  Google Scholar 

  3. Kurtz EF, Crandall SH. Computer-aided analysis of hydrodynamic stability.J Math Phys, 1962, 41: 264

    MATH  MathSciNet  Google Scholar 

  4. Knowles CP, Gebhart B. The stability of the laminar natural convection boundary layer.J Fluid Mechanics, 1968, 34: 657

    Article  MATH  Google Scholar 

  5. Brewster RA, Gebhart B. Instability and disturbance amplification in a mixed-convection boundary layer.J Fluid Mechanics, 1991, 229: 115

    Article  MATH  Google Scholar 

  6. Polymeropoulos CE, Bebhart B. Incipient instability in free convection laminar boundary layer.J Fluid Mechanics, 1967, 30: 225

    Article  Google Scholar 

  7. Hieber CA, Gebhart B. Stability of vertical natural convection boundary layer: some numerical solutions.J Fluid Mechanics, 1971, 48: 625

    Article  Google Scholar 

  8. Mahajan RL, Gebhart B. An experimental determination of transition limits in a vertical natural convection flow adjacent to a surface.J Fluid Mechanics, 1979, 91: 131

    Article  Google Scholar 

  9. Gebhart B, Jaluria Y, Mahajan RL et al. Buoyancy-induced flows and transport. Hemisphere, 1988, 547

  10. Lumley JL. The spectrum of nearly inertial turbulence in a stably stratified fluid.J Atmos Sci, 1964, 21: 99

    Article  Google Scholar 

  11. Krishnamurthy R, Gebhart B. An experimental study of transition to turbulence in vertical mixed convection flows.J Heat Transfer, 1989, 111: 121.

    Article  Google Scholar 

  12. Papailiou DD, Lykoudis PS. Turbulent free convection flow.Int J Heat Mass Transfer 1974, 17: 161

    Article  Google Scholar 

  13. Yan Dachun, Zhu Qiankang, Yu Dacheng et al. Resomant interactions of Tollmien-Schlichting waves in the boundary on a flat plate.Acta Mechanica Sinica, 1988, 4: 305

    Article  Google Scholar 

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The project supported by the National Natural Science Foundation of China (19572004)

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Dachun, Y., Jianjun, T. An experimental research on the instability of natural convection boundary layer around a vertical heated flat plate. Acta Mech Sinica 15, 1–7 (1999). https://doi.org/10.1007/BF02487894

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  • DOI: https://doi.org/10.1007/BF02487894

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