Skip to main content
SpringerLink
Log in

Numerical study of free convection with heating from above

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. L. D. Landau and E. M. Lifshits, Continuum Mechanics [in Russian], 2nd edition, Gostekhizdat, Moscow (1953).

    Google Scholar 

  2. V. S. Sorokin, “Steady-state motions of a fluid heated from below”, PMM, vol. 18, no. 2 (1954).

  3. L. P. Gor'kov, “Stationary convection in a plane fluid layer near the critical heat transfer regime”, ZhÉTF, vol. 33, no. 2(8) (1957).

  4. W. Malkus and G. Veronis, “Finite amplitude cellular convection”, J. Fluid Mech., vol. 4, p. 3 (1958).

    Google Scholar 

  5. I. W. Dreardorff, “A numerical study of two-dimensional parallel plate convection”, J. Atoms. Sci., vol. 21, no. 4 (1964).

    Google Scholar 

  6. J. E. Fromm, “Numerical solutions of the nonlinear equations for a heated fluid layer”, Phys. Fluids, vol. 8, no. 10 (1965).

  7. G. Z. Gershuni, E. M. Zhukhovitskii, and E. L. Tarunin, “Numerical investigation of convective motion in a closed cavity”, Izv. AN SSSR, MZhG, vol. 1, no. 5 (1966).

  8. V. I. Polezhaev, “Numerical solution of the system of one-dimensional unsteady Navier—Stokes equations for a compressible gas”, Izv. AN SSSR, MZhG, vol. 1, no. 6 (1966).

  9. V. I. Polezhaev, “Numerical solution of the system of two-dimensional unsteady Navier—Stokes equations for a compressible gas in a closed region”, Izv. AN SSSR, MZhG, vol. 2, no. 2 (1967).

  10. V. I. Polezhaev, “Numerical solution of the two-dimensional unsteady Navier—Stokes equations for a compressible gas in a closed region”, Izv, SO AN SSSR, ser. tekhn. n., no. 13, issue 3 (1967).

  11. G. Z. Gershuni, E. M. Zhukhovitskii, and E. L. Tarunin, “Numerical study of convection of a fluid heated from below”, Izv. AN SSSR, MZhG, vol. 1, no. 6 (1966).

  12. E. L. Tarunin, “Numerical study of free convection”, Uch. zap. Perm, gos, un-ta, issue 1, no. 184 (1968).

  13. V. I. Polezhaev, “The influence of gas compressibility on flow and heat transfer in natural convection”, Izv. AN SSSR, MZhG, vol. 3, no. 6 (1968).

  14. E. L. Tarunin, “Unsteady fluid convection in a closed cavity”, Izv. AN SSSR, MZhG, vol. 3, no. 6 (1968).

  15. V. I. Polezhaev, “Flow and heat transfer in natural convection of a gas in a closed region after loss of hydrostatic equilibrium stability”, Izv. AN SSSR, MZhG, vol. 3, no. 5 (1968).

  16. A. V. Luikov and B. M. Berkovskii, “The onset of convection in cavities with variable temperature of the walls”, Inzh.-fiz. zh., vol. 15, no. 6 (1968).

  17. E. C. Du Fort and S. P. Frankel, “Stability conditions in the numerical treatment of parabolic differential equations”, Math. Tables, vol. 7, no. 43, pp. 135–152 (1953).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Minsk

    B. M. Berkovskii & E. F. Nogotov

Authors
  1. B. M. Berkovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. F. Nogotov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izv. AN SSSR. Mekhanika Zhidkosti i Gaza, Vol. 5, No. 2, pp. 147–154, March–April, 1970.

The authors thanks A. V. Luikov for guidance and G. I. Petrov, V. S. Avduevskii, and V. I. Polezhaev for their interest in the study and valuable advice.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berkovskii, B.M., Nogotov, E.F. Numerical study of free convection with heating from above. Fluid Dyn 5, 297–303 (1970). https://doi.org/10.1007/BF01080247

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01080247

Keywords

Search

Navigation