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Stability of stationary spatially periodic convective motions in a plane vertical layer

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Literature cited

  1. G. Z. Gershuni and E. M. Zhukovitskii, Convective Stability of Incompressible Fluids, Halsted Press (1976).

  2. G. Z. Gershuni and E. M. Zhukovitskii. Convective Stability. Liquid and Gas Mechanics (Developments in Science and Technology) [in Russian], Vol. 11 (1978).

  3. R. M. Clever and F. H. Busse, “Instabilities of longitudinal convection rolls in an inclined layer,” J. Fluid Mech.,81, No. 1 (1977).

  4. R. M. Clever, F. H. Busse, and R. E. Kelly, “Instabilities of longitudinal convection rolls in Couette flow,” Z. Angew. Math. Phys.,28, No. 5 (1977).

  5. F. H. Busse, “On the stability of two-dimensional convection in a layer heated from below,” J. Math. Phys.,46, No. 2 (1967).

  6. R. M. Clever and F. H. Busse, “Transition to time-dependent convection,” J. Fluid Mech.,65, No. 4 (1974).

  7. F. H. Busse and R. M. Clever, “Instabilities of convection rolls in a fluid of moderate Prandtl number,” J. Fluid Mech.,91, No. 2 (1979).

  8. O. Kvernvold, “Rayleigh-Benard convection with one free and one rigid boundary,” Geophys. Astrophys. Fluid Dyn.,12, No. 3–4 (1979).

  9. M. Tveiterei and F. Palm, “Convection due to internal heat sources,” J. Fluid Mech.,16, No. 3 (1976).

  10. E. L. Tarunin, “Determination of the convective equilibrium stability boundary by the grid method,” in: Computer Programs and Algorithms [in Russian], Perm (1978).

  11. L. P. Vozovoi and A. A. Nepomnyashchii, “Use of the grid method for study of stability of spatially periodic motions,” in: Numerical Methods in the Dynamics of a Viscous Liquid [in Russian], Novosibirsk (1979).

  12. G. Z. Gershuni, E. M. Zhukovitskii, and E. L. Tarunin, “Secondary stationary convective motions in a plane vertical liquid layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1968).

  13. E. L. Tarunin, “Secondary stationary convective flows in a vertical layer,” Uch. Zap. Perms. Univ., No. 293; Gidrodinam., No. 4 (1974).

  14. A. A. Nepomnyashchii, “Secondary convective flows in a plane vertical layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1975).

  15. A. A. Nepomnyashchii, “Types of secondary convective flow in a vertical layer,” in: Convective Flows and Hydrodynamic Stability [in Russian], Izd. Akad. Nauk SSSR, Sverdlovsk (1979).

    Google Scholar 

  16. A. A. Nepomnyashchii, “Nonstationary secondary convective motions in a vertical plane layer,” in: Convective Flows [in Russian], 1st edn., PGPI, Perm (1979).

    Google Scholar 

  17. J. M. Zaiman, Principles of Solid State Theory [Russian translation], Mir, Moscow (1974).

    Google Scholar 

  18. N. N. Yanenko, The Partial Step Method for Solution of Multidimensional Problems in Mathematical Physics [in Russian], Nauka, Novosibirsk (1967).

    Google Scholar 

  19. A. A. Samarskii, Theory of Difference Systems [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  20. L. P. Vozovoi and A. A. Nepomnyashchii, “Nonstationary convective flows in a vertical layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1981).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 54–60, July–August, 1982.

The authors are indebted to G. Z. Gershuni, E. M. Zhukhovitskii, E. L. Tarunin, and D. V. Lyubimov for their valuable advice.

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Vozovoi, L.P., Nepomnyashchii, A.A. Stability of stationary spatially periodic convective motions in a plane vertical layer. J Appl Mech Tech Phys 23, 512–517 (1982). https://doi.org/10.1007/BF00916715

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  • DOI: https://doi.org/10.1007/BF00916715

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