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Stability of the boundary layer above the surface of a wave travelling over a plate

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Abstract

The two-dimensional problem of the stability of the flow of an incompressible fluid over a rigid surface perturbed by a wave travelling in the propagation direction of the flow is discussed in the linear approximation. The problem is solved in the coordinate system at rest with respect to the travelling wave. The parameters of this wave are not eigenvalues of the corresponding linear problem of the stability. The solution is sought in the form of a series in powers of the wave amplitude with an accuracy out to the quadratic term inclusively. Calculations are made of the dependence of the neutral stability curve on the amplitude, wavelength, and phase velocity.

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Literature cited

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Authors and Affiliations

  1. Novosibirsk

    L. B. Aizin & A. G. Volodin

Authors
  1. L. B. Aizin
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  2. A. G. Volodin
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Translated from Zhurnal Prikladnoi Mekhaniki Tekhnicheskoi Fiziki, No. 5, pp. 49–52, September–October, 1979.

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Aizin, L.B., Volodin, A.G. Stability of the boundary layer above the surface of a wave travelling over a plate. J Appl Mech Tech Phys 20, 562–565 (1979). https://doi.org/10.1007/BF00910544

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  • DOI: https://doi.org/10.1007/BF00910544

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