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Stability of laminar flow of liquid in vertical layers with free convection

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Abstract

We give the results of experimental and theoretical investigations of the stability of a laminar flow of liquid in a vertical layer. The experimental investigations qualitatively confirm the theoretical solutions and indicate the existence of various kinds of instability.

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Literature cited

  1. G. Z. Gershuni, “Stability of a plane convective flow of liquid,” Zh. Tekh. Fiz.,23, No. 10 (1953).

  2. G. Z. Gershuni, “Stability of a plane convective flow of liquid,” Zh. Tekh. Fiz.,25, No. 2 (1955).

  3. G. Z. Gershuni and E. M. Zhukovitskii, “Two types of instability of a convective flow between parallel vertical planes,” Izv. Vuz., Fiz., No. 4 (1958).

  4. R. N. Rudakov, “Small perturbations of a convective flow between vertical planes,” PMM, No. 2 (1966).

  5. R. N. Rudakov, “Perturbation spectrum and stability of convective flow between vertical planes,” PMM,31, No. 2 (1967).

  6. R. V. Birikh, G. Z. Gershuni, E. M. Zhukovitskii, and R. N. Rudakov, “Hydrodynamic and thermal instability of a steady convective flow,” PMM,32, No. 2 (1968).

  7. V. I. Polezhaev, “Flow and heat transfer with laminar free convection in a vertical layer,” in: Heat and Mass Transfer [in Russian], Vol. 1, Minsk (1967).

  8. M. P. Sorokin, “Free convection in a cavity in boundary-layer conditions,” Inzh.-Fiz. Zh., No. 8 (1961).

  9. E. R. G. Eckert and W. O. Carlson, “Natural convection in an air layer enclosed between two vertical plates with different temperatures,” Int. J. Heat Mass Trans.,2, 106 (1961).

    Google Scholar 

  10. J. W. Elder, “Laminar free convection in a vertical slot,” J. Fluid Mech.,23, Pt. 1, 77 (1965); “Turbulent free convection in a vertical slot,”23, Pt. 1, 99 (1965).

    Google Scholar 

  11. V. M. Zaitsev and M. P. Sorokin, “Stability of a thermal convective flow of liquid in a vertical slot,” Uch. Zap. Permsk. Un-ta,19, No. 3 (1961).

  12. C. M. Vest and V. S. Arpaci, “Stability of natural convection in a vertical slot,” J. Fluid Mech.,36, Pt. 1, 1 (1969).

    Google Scholar 

  13. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  14. J. W. Elder, “Numerical experiments with free convection in a vertical slot,” J. Fluid Mech.,24, Pt. 4, 823 (1966).

    Google Scholar 

  15. A. G. Kirdyashkin and A. I. Leont'ev, “Investigation of hydrodynamics and heat transfer in vertical layers of liquid with free convection,” Teplofiz. Vys. Temp.,7, No. 5 (1969).

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Authors and Affiliations

  1. Novosibirsk, Moscow

    A. G. Kirdyashkin, A. I. Leont'ev & N. V. Mukhina

Authors
  1. A. G. Kirdyashkin
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  2. A. I. Leont'ev
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  3. N. V. Mukhina
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 170–174, September–October, 1971.

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Kirdyashkin, A.G., Leont'ev, A.I. & Mukhina, N.V. Stability of laminar flow of liquid in vertical layers with free convection. Fluid Dyn 6, 884–888 (1971). https://doi.org/10.1007/BF01013874

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  • DOI: https://doi.org/10.1007/BF01013874

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