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Analysis of Stability of the Boundary Layer on a Flat Plate under a Finite-Thickness Two-Layer Compliant Coating

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Abstract

Results of studying stability of the Blasius boundary layer on a two-layer compliant coating in the linear formulation are reported. The computations are based on experimental parameters of viscoelasticity of a real coating, which reveal the dependences of its elasticity modulus and loss coefficient on frequency. Parametric investigations of the influence of the coating layer thicknesses and free-stream velocity on flow stability, in particular, on the critical Reynolds number, are performed. Regions of a nonmonotonic behavior of the critical Reynolds number are found, which allow one to determine the optimal thicknesses of the upper and lower layers for intense interaction with the flow. An explanation of this effect is proposed.

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. E. Darzhain & A. P. Chupakhin

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    A. E. Darzhain & A. P. Chupakhin

  3. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. V. Boiko

  4. Tyumen State University, Tyumen, 625003, Russia

    A. V. Boiko

  5. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. M. Kulik

Authors
  1. A. E. Darzhain
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  2. A. V. Boiko
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  3. V. M. Kulik
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  4. A. P. Chupakhin
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Corresponding author

Correspondence to A. V. Boiko.

Additional information

Original Russian Text © A.E. Darzhain, A.V. Boiko, V.M. Kulik, A.P. Chupakhin.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 60, No. 4, pp. 35–46, July–August, 2019.

This work was supported by the Russian Science Foundation (Grant No. 17-11-01156). The experimental data on the coatings were obtained in investigations supported by the Russian Foundation for Basic Research (Grant No. 18-08-00761).

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Darzhain, A.E., Boiko, A.V., Kulik, V.M. et al. Analysis of Stability of the Boundary Layer on a Flat Plate under a Finite-Thickness Two-Layer Compliant Coating. J Appl Mech Tech Phy 60, 620–630 (2019). https://doi.org/10.1134/S0021894419040047

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  • DOI: https://doi.org/10.1134/S0021894419040047

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