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Resonance-Induced Self-Oscillations in Fluid with Wavy Boundary Motion

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Laminar-Turbulent Transition

Summary

The present paper is concerned with resonant wavy external effect on the flows in the vicinity of stability threshold. The amplitude function method is used to derive the governing equation for the disturbance amplitude describing phenomena in supercritical region for the flows of various physical nature: boundary layer, convection, magnetohydrodynamics and so on. Theoretical predictions are confirmed by the finite-difference calculations of secondary regimes of mixed convection in a vertical layer with oscillating boundaries.

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References

  1. Lin, C.C.: The theory of hydrodynamic stability. Cambridge Univ. Press 1955.

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  2. Levina, G.V.; Nepomnyaschiy, A.A.: Nonstationary boundary deformation effect on hydrodynamic stability and flow regimes. Preprint USC 45(82). Sverdlovsk 1982 (in Russian).

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  3. Levina, G.V.; Nepomnyaschiy, A.A.; Pozdeev, A.A.: Resonant influence of time-dependent boundary distortion on the viscous fluid flow stability and secondary regimes. Doki. Akad. Nauk SSSR 266 (1982) 1334–1337.

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  4. Levina, G.V.; Nepomnyaschiy, A.A.: On regimes of mixed convection in a vertical layer with nonstationary deformable boundaries. Prikl. Matem. i Mekh. 47 (1983) 402–410.

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Author information

Authors and Affiliations

  1. Institute of Continuum Mechanics, Ural Scientific Center of the USSR Academy of Sciences, Perm’, 614013, USSR

    G. V. Levina, A. A. Nepomnyaschiy & A. A. Pozdeev

Authors
  1. G. V. Levina
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  2. A. A. Nepomnyaschiy
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  3. A. A. Pozdeev
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Editor information

Editors and Affiliations

  1. Institute of Theoretical and Applied Mechanics, Institutskaya, 4/1, Novosibirsk-90, USSR

    V. V. Kozlov

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Levina, G.V., Nepomnyaschiy, A.A., Pozdeev, A.A. (1985). Resonance-Induced Self-Oscillations in Fluid with Wavy Boundary Motion. In: Kozlov, V.V. (eds) Laminar-Turbulent Transition. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82462-3_40

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  • DOI: https://doi.org/10.1007/978-3-642-82462-3_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82464-7

  • Online ISBN: 978-3-642-82462-3

  • eBook Packages: Springer Book Archive

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