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Surface waves and stability of tangential velocity discontinuity on a solid-fluid boundary

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Solutions of the Rayleigh-wave type on the boundary of an elastic half-space and a moving layer of ideal fluid are obtained. The limiting cases of zero flow velocity and a tangential velocity discontinuity in the fluid were investigated in [1–3]. In [4] the order of magnitude of the critical flow velocity was estimated. An increase in the velocity scales used in engineering and experimental practice (see [5], for instance) has aroused interest in a more thorough analysis of the effect.

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Literature cited

  1. L. M. Brekhovskikh, Waves in Layered Media [in Russian], Akad. Nauk SSSR, Moscow (1957).

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  2. N. V. Zvolinskii, “Surface waves in an elastic half-space and the fluid layer covering it,” Dokl. Akad. Nauk SSSR,56, No. 4 (1947).

  3. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge Univ. Press (1967).

  4. A. Gubanov, “Rayleigh waves on a solid-fluid boundary,” Zh. Éksp. Teor. Fiz.,15, No. 9 (1945).

  5. A. L. Mikhailov, “Shear instability of interface in metals,” Fiz. Gor. Vzryv., No. 2 (1979).

  6. K. E. Bullen, An Introduction to the Theory of Seismology, Cambridge (1947).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 43–46, May–June, 1981.

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Simonov, I.V. Surface waves and stability of tangential velocity discontinuity on a solid-fluid boundary. J Appl Mech Tech Phys 22, 322–325 (1981). https://doi.org/10.1007/BF00907555

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  • DOI: https://doi.org/10.1007/BF00907555

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