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Development of finite-amplitude convection in a vibrating layer of fluid heated from above

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Literature cited

  1. G. Z. Gershuni and E. M. Zhukhovitskii, “Parametric excitation of convective instability,” Prikl. Mat. Mekh.,27, No. 5 (1963).

  2. G. Z. Gershuni, E. M. Zhukhovitskii, and Yu. S. Yurkov, “Convective stability in the presence of a periodically varying parameter,” Prikl. Mat. Mekh.,34, No. 3 (1970).

  3. G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).

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  4. S. M. Zen'kovskaya and I. B. Simonenko, “Effect of high-frequency vibration on the development of convection,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1966).

  5. G. S. Markman, “Convective instability of a fluid layer in a modulated external-force field,” Prikl. Mat. Mekh.,36, No. 1 (1972).

  6. G. S. Markman and V. I. Yudovich, “A numerical study of the development of convection in a fluid layer under the action of time-periodic external forces,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1972).

  7. G. I. Burdé, “Finite-amplitude convection developing in a modulated gravitational field,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1972).

  8. P. L. Kapitsa, “Dynamic stability of a pendulum with an oscillating suspension point,” Zh. Éksp. Teor. Fiz.,21, No. 5 (1951).

  9. V. S. Sorokin, “Steady motions in a fluid heated from below,” Prikl. Mat. Mekh.,18, No. 2 (1954).

  10. V. I. Yudovich, “An example of stability loss and the creation of secondary fluid flow in a closed vessel,” Mat. Sb.,74, No. 4 (1967).

  11. V. I. Yudovich, “Study of self-oscillations of a continuous medium developing upon loss of stability of a steady mode,” Prikl. Mat. Mekh.,36, No. 3 (1972).

  12. G. S. Markman and A. L. Urintsev, “Effect of high-frequency vibration on the development of secondary convective modes,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1976).

  13. A. L. Urintsev, “Development of self-oscillations in a boundary layer,” in: Turbulent Boundary Flow. Proceedings of Eighteenth Siberian Thermophysics Seminar [in Russian], Part 1, Novosibirsk (1975).

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Authors and Affiliations

  1. Rostov-on-Don

    G. S. Markman & A. L. Urintsev

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  1. G. S. Markman
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  2. A. L. Urintsev
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 27–35, January–February, 1978.

The authors thank participants of the All-Union Winter School “Nonlinear Problems of the Theory of Hydrodynamic Stability” (Moscow, 1976) for a useful discussion.

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Markman, G.S., Urintsev, A.L. Development of finite-amplitude convection in a vibrating layer of fluid heated from above. Fluid Dyn 13, 18–25 (1978). https://doi.org/10.1007/BF01094454

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  • DOI: https://doi.org/10.1007/BF01094454

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